OpenVDB: Interpolation.h Source File

OpenVDB 3.2.0

Interpolation.h
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66
67 #ifndef OPENVDB_TOOLS_INTERPOLATION_HAS_BEEN_INCLUDED
68 #define OPENVDB_TOOLS_INTERPOLATION_HAS_BEEN_INCLUDED
69
70 #include <cmath>
71 #include <boost/shared_ptr.hpp>
72 #include <openvdb/version.h> // for OPENVDB_VERSION_NAME
73 #include <openvdb/Platform.h> // for round()
74 #include <openvdb/math/Math.h>// for SmoothUnitStep
75 #include <openvdb/math/Transform.h> // for Transform
76 #include <openvdb/Grid.h>
77 #include <openvdb/tree/ValueAccessor.h>
78
79 namespace openvdb {
80 OPENVDB_USE_VERSION_NAMESPACE
81 namespace OPENVDB_VERSION_NAME {
82 namespace tools {
83
89 template <size_t Order, bool Staggered = false>
90 struct Sampler
91 {
92 BOOST_STATIC_ASSERT(Order < 3);
93 static const char* name();
94 static int radius();
95 static bool mipmap();
96 static bool consistent();
97 static bool staggered();
98 static size_t order();
99
104 template<class TreeT>
105 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
106 typename TreeT::ValueType& result);
107
111 template<class TreeT>
112 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
113 };
114
116
117 // The following samplers operate in voxel space.
118 // When the samplers are applied to grids holding vector or other non-scalar data,
119 // the data is assumed to be collocated. For example, using the BoxSampler on a grid
120 // with ValueType Vec3f assumes that all three elements in a vector can be assigned
121 // the same physical location. Consider using the GridSampler below instead.
122
123 struct PointSampler
124 {
125 static const char* name() { return "point"; }
126 static int radius() { return 0; }
127 static bool mipmap() { return false; }
128 static bool consistent() { return true; }
129 static bool staggered() { return false; }
130 static size_t order() { return 0; }
131
135 template<class TreeT>
136 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
137 typename TreeT::ValueType& result);
138
141 template<class TreeT>
142 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
143 };
144
145
146 struct BoxSampler
147 {
148 static const char* name() { return "box"; }
149 static int radius() { return 1; }
150 static bool mipmap() { return true; }
151 static bool consistent() { return true; }
152 static bool staggered() { return false; }
153 static size_t order() { return 1; }
154
158 template<class TreeT>
159 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
160 typename TreeT::ValueType& result);
161
164 template<class TreeT>
165 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
166
169 template<class ValueT, class TreeT, size_t N>
170 static inline void getValues(ValueT (&data)[N][N][N], const TreeT& inTree, Coord ijk);
171
175 template<class ValueT, class TreeT, size_t N>
176 static inline bool probeValues(ValueT (&data)[N][N][N], const TreeT& inTree, Coord ijk);
177
180 template<class ValueT, size_t N>
181 static inline void extrema(ValueT (&data)[N][N][N], ValueT& vMin, ValueT& vMax);
182
184 template<class ValueT, size_t N>
185 static inline ValueT trilinearInterpolation(ValueT (&data)[N][N][N], const Vec3R& uvw);
186 };
187
188
189 struct QuadraticSampler
190 {
191 static const char* name() { return "quadratic"; }
192 static int radius() { return 1; }
193 static bool mipmap() { return true; }
194 static bool consistent() { return false; }
195 static bool staggered() { return false; }
196 static size_t order() { return 2; }
197
201 template<class TreeT>
202 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
203 typename TreeT::ValueType& result);
204
207 template<class TreeT>
208 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
209
210 template<class ValueT, size_t N>
211 static inline ValueT triquadraticInterpolation(ValueT (&data)[N][N][N], const Vec3R& uvw);
212 };
213
214
216
217
218 // The following samplers operate in voxel space and are designed for Vec3
219 // staggered grid data (e.g., fluid simulations using the Marker-and-Cell approach
220 // associate elements of the velocity vector with different physical locations:
221 // the faces of a cube).
222
223 struct StaggeredPointSampler
224 {
225 static const char* name() { return "point"; }
226 static int radius() { return 0; }
227 static bool mipmap() { return false; }
228 static bool consistent() { return false; }
229 static bool staggered() { return true; }
230 static size_t order() { return 0; }
231
235 template<class TreeT>
236 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
237 typename TreeT::ValueType& result);
238
241 template<class TreeT>
242 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
243 };
244
245
246 struct StaggeredBoxSampler
247 {
248 static const char* name() { return "box"; }
249 static int radius() { return 1; }
250 static bool mipmap() { return true; }
251 static bool consistent() { return false; }
252 static bool staggered() { return true; }
253 static size_t order() { return 1; }
254
258 template<class TreeT>
259 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
260 typename TreeT::ValueType& result);
261
264 template<class TreeT>
265 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
266 };
267
268
269 struct StaggeredQuadraticSampler
270 {
271 static const char* name() { return "quadratic"; }
272 static int radius() { return 1; }
273 static bool mipmap() { return true; }
274 static bool consistent() { return false; }
275 static bool staggered() { return true; }
276 static size_t order() { return 2; }
277
281 template<class TreeT>
282 static bool sample(const TreeT& inTree, const Vec3R& inCoord,
283 typename TreeT::ValueType& result);
284
287 template<class TreeT>
288 static typename TreeT::ValueType sample(const TreeT& inTree, const Vec3R& inCoord);
289 };
290
291
293
294
309 template<typename GridOrTreeType, typename SamplerType>
310 class GridSampler
311 {
312 public:
313 typedef boost::shared_ptr<GridSampler> Ptr;
314 typedef typename GridOrTreeType::ValueType ValueType;
315 typedef typename TreeAdapter<GridOrTreeType>::GridType GridType;
316 typedef typename TreeAdapter<GridOrTreeType>::TreeType TreeType;
317 typedef typename TreeAdapter<GridOrTreeType>::AccessorType AccessorType;
318
320 explicit GridSampler(const GridType& grid)
321 : mTree(&(grid.tree())), mTransform(&(grid.transform())) {}
322
325 GridSampler(const TreeType& tree, const math::Transform& transform)
326 : mTree(&tree), mTransform(&transform) {}
327
328 const math::Transform& transform() const { return *mTransform; }
329
334 template<typename RealType>
335 ValueType sampleVoxel(const RealType& x, const RealType& y, const RealType& z) const
336 {
337 return this->isSample(Vec3d(x,y,z));
338 }
339
344 ValueType sampleVoxel(typename Coord::ValueType i,
345 typename Coord::ValueType j,
346 typename Coord::ValueType k) const
347 {
348 return this->isSample(Coord(i,j,k));
349 }
350
353 ValueType isSample(const Coord& ijk) const { return mTree->getValue(ijk); }
354
357 ValueType isSample(const Vec3d& ispoint) const
358 {
359 ValueType result = zeroVal<ValueType>();
360 SamplerType::sample(*mTree, ispoint, result);
361 return result;
362 }
363
366 ValueType wsSample(const Vec3d& wspoint) const
367 {
368 ValueType result = zeroVal<ValueType>();
369 SamplerType::sample(*mTree, mTransform->worldToIndex(wspoint), result);
370 return result;
371 }
372
373 private:
374 const TreeType* mTree;
375 const math::Transform* mTransform;
376 }; // class GridSampler
377
378
391 template<typename TreeT, typename SamplerType>
392 class GridSampler<tree::ValueAccessor<TreeT>, SamplerType>
393 {
394 public:
395 typedef boost::shared_ptr<GridSampler> Ptr;
396 typedef typename TreeT::ValueType ValueType;
397 typedef TreeT TreeType;
398 typedef Grid<TreeType> GridType;
399 typedef typename tree::ValueAccessor<TreeT> AccessorType;
400
403 GridSampler(const AccessorType& acc,
404 const math::Transform& transform)
405 : mAccessor(&acc), mTransform(&transform) {}
406
407 const math::Transform& transform() const { return *mTransform; }
408
413 template<typename RealType>
414 ValueType sampleVoxel(const RealType& x, const RealType& y, const RealType& z) const
415 {
416 return this->isSample(Vec3d(x,y,z));
417 }
418
423 ValueType sampleVoxel(typename Coord::ValueType i,
424 typename Coord::ValueType j,
425 typename Coord::ValueType k) const
426 {
427 return this->isSample(Coord(i,j,k));
428 }
429
432 ValueType isSample(const Coord& ijk) const { return mAccessor->getValue(ijk); }
433
436 ValueType isSample(const Vec3d& ispoint) const
437 {
438 ValueType result = zeroVal<ValueType>();
439 SamplerType::sample(*mAccessor, ispoint, result);
440 return result;
441 }
442
445 ValueType wsSample(const Vec3d& wspoint) const
446 {
447 ValueType result = zeroVal<ValueType>();
448 SamplerType::sample(*mAccessor, mTransform->worldToIndex(wspoint), result);
449 return result;
450 }
451
452 private:
453 const AccessorType* mAccessor;//not thread-safe!
454 const math::Transform* mTransform;
455 };//Specialization of GridSampler
456
457
459
460
470 template<typename GridOrTreeT,
471 typename SamplerT>
472 class DualGridSampler
473 {
474 public:
475 typedef typename GridOrTreeT::ValueType ValueType;
476 typedef typename TreeAdapter<GridOrTreeT>::GridType GridType;
477 typedef typename TreeAdapter<GridOrTreeT>::TreeType TreeType;
478 typedef typename TreeAdapter<GridType>::AccessorType AccessorType;
479
483 DualGridSampler(const GridType& sourceGrid,
484 const math::Transform& targetXform)
485 : mSourceTree(&(sourceGrid.tree()))
486 , mSourceXform(&(sourceGrid.transform()))
487 , mTargetXform(&targetXform)
488 , mAligned(targetXform == *mSourceXform)
489 {
490 }
495 DualGridSampler(const TreeType& sourceTree,
496 const math::Transform& sourceXform,
497 const math::Transform& targetXform)
498 : mSourceTree(&sourceTree)
499 , mSourceXform(&sourceXform)
500 , mTargetXform(&targetXform)
501 , mAligned(targetXform == sourceXform)
502 {
503 }
506 inline ValueType operator()(const Coord& ijk) const
507 {
508 if (mAligned) return mSourceTree->getValue(ijk);
509 const Vec3R world = mTargetXform->indexToWorld(ijk);
510 return SamplerT::sample(*mSourceTree, mSourceXform->worldToIndex(world));
511 }
513 inline bool isAligned() const { return mAligned; }
514 private:
515 const TreeType* mSourceTree;
516 const math::Transform* mSourceXform;
517 const math::Transform* mTargetXform;
518 const bool mAligned;
519 };// DualGridSampler
520
522 template<typename TreeT,
523 typename SamplerT>
524 class DualGridSampler<tree::ValueAccessor<TreeT>, SamplerT>
525 {
526 public:
527 typedef typename TreeT::ValueType ValueType;
528 typedef TreeT TreeType;
529 typedef Grid<TreeType> GridType;
530 typedef typename tree::ValueAccessor<TreeT> AccessorType;
531
536 DualGridSampler(const AccessorType& sourceAccessor,
537 const math::Transform& sourceXform,
538 const math::Transform& targetXform)
539 : mSourceAcc(&sourceAccessor)
540 , mSourceXform(&sourceXform)
541 , mTargetXform(&targetXform)
542 , mAligned(targetXform == sourceXform)
543 {
544 }
547 inline ValueType operator()(const Coord& ijk) const
548 {
549 if (mAligned) return mSourceAcc->getValue(ijk);
550 const Vec3R world = mTargetXform->indexToWorld(ijk);
551 return SamplerT::sample(*mSourceAcc, mSourceXform->worldToIndex(world));
552 }
554 inline bool isAligned() const { return mAligned; }
555 private:
556 const AccessorType* mSourceAcc;
557 const math::Transform* mSourceXform;
558 const math::Transform* mTargetXform;
559 const bool mAligned;
560 };//Specialization of DualGridSampler
561
563
564
565 // Class to derive the normalized alpha mask
566 template <typename GridT,
567 typename MaskT,
568 typename SamplerT = tools::BoxSampler,
569 typename FloatT = float>
570 class AlphaMask
571 {
572 public:
573 BOOST_STATIC_ASSERT(boost::is_floating_point<FloatT>::value);
574 typedef GridT GridType;
575 typedef MaskT MaskType;
576 typedef SamplerT SamlerType;
577 typedef FloatT FloatType;
578
579 AlphaMask(const GridT& grid, const MaskT& mask, FloatT min, FloatT max, bool invert)
580 : mAcc(mask.tree())
581 , mSampler(mAcc, mask.transform() , grid.transform())
582 , mMin(min)
583 , mInvNorm(1/(max-min))
584 , mInvert(invert)
585 {
586 assert(min < max);
587 }
588
589 inline bool operator()(const Coord& xyz, FloatT& a, FloatT& b) const
590 {
591 a = math::SmoothUnitStep( (mSampler(xyz) - mMin) * mInvNorm );//smooth mapping to 0->1
592 b = 1 - a;
593 if (mInvert) std::swap(a,b);
594 return a>0;
595 }
596
597 protected:
598 typedef typename MaskType::ConstAccessor AccT;
599 AccT mAcc;
600 tools::DualGridSampler<AccT, SamplerT> mSampler;
601 const FloatT mMin, mInvNorm;
602 const bool mInvert;
603 };// AlphaMask
604
606
607 namespace local_util {
608
609 inline Vec3i
610 floorVec3(const Vec3R& v)
611 {
612 return Vec3i(int(std::floor(v(0))), int(std::floor(v(1))), int(std::floor(v(2))));
613 }
614
615
616 inline Vec3i
617 ceilVec3(const Vec3R& v)
618 {
619 return Vec3i(int(std::ceil(v(0))), int(std::ceil(v(1))), int(std::ceil(v(2))));
620 }
621
622
623 inline Vec3i
624 roundVec3(const Vec3R& v)
625 {
626 return Vec3i(int(::round(v(0))), int(::round(v(1))), int(::round(v(2))));
627 }
628
629 } // namespace local_util
630
631
633
634
635 template<class TreeT>
636 inline bool
637 PointSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
638 typename TreeT::ValueType& result)
639 {
640 return inTree.probeValue(Coord(local_util::roundVec3(inCoord)), result);
641 }
642
643 template<class TreeT>
644 inline typename TreeT::ValueType
645 PointSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
646 {
647 return inTree.getValue(Coord(local_util::roundVec3(inCoord)));
648 }
649
650
652
653 template<class ValueT, class TreeT, size_t N>
654 inline void
655 BoxSampler::getValues(ValueT (&data)[N][N][N], const TreeT& inTree, Coord ijk)
656 {
657 data[0][0][0] = inTree.getValue(ijk); // i, j, k
658
659 ijk[2] += 1;
660 data[0][0][1] = inTree.getValue(ijk); // i, j, k + 1
661
662 ijk[1] += 1;
663 data[0][1][1] = inTree.getValue(ijk); // i, j+1, k + 1
664
665 ijk[2] -= 1;
666 data[0][1][0] = inTree.getValue(ijk); // i, j+1, k
667
668 ijk[0] += 1;
669 ijk[1] -= 1;
670 data[1][0][0] = inTree.getValue(ijk); // i+1, j, k
671
672 ijk[2] += 1;
673 data[1][0][1] = inTree.getValue(ijk); // i+1, j, k + 1
674
675 ijk[1] += 1;
676 data[1][1][1] = inTree.getValue(ijk); // i+1, j+1, k + 1
677
678 ijk[2] -= 1;
679 data[1][1][0] = inTree.getValue(ijk); // i+1, j+1, k
680 }
681
682 template<class ValueT, class TreeT, size_t N>
683 inline bool
684 BoxSampler::probeValues(ValueT (&data)[N][N][N], const TreeT& inTree, Coord ijk)
685 {
686 bool hasActiveValues = false;
687 hasActiveValues |= inTree.probeValue(ijk, data[0][0][0]); // i, j, k
688
689 ijk[2] += 1;
690 hasActiveValues |= inTree.probeValue(ijk, data[0][0][1]); // i, j, k + 1
691
692 ijk[1] += 1;
693 hasActiveValues |= inTree.probeValue(ijk, data[0][1][1]); // i, j+1, k + 1
694
695 ijk[2] -= 1;
696 hasActiveValues |= inTree.probeValue(ijk, data[0][1][0]); // i, j+1, k
697
698 ijk[0] += 1;
699 ijk[1] -= 1;
700 hasActiveValues |= inTree.probeValue(ijk, data[1][0][0]); // i+1, j, k
701
702 ijk[2] += 1;
703 hasActiveValues |= inTree.probeValue(ijk, data[1][0][1]); // i+1, j, k + 1
704
705 ijk[1] += 1;
706 hasActiveValues |= inTree.probeValue(ijk, data[1][1][1]); // i+1, j+1, k + 1
707
708 ijk[2] -= 1;
709 hasActiveValues |= inTree.probeValue(ijk, data[1][1][0]); // i+1, j+1, k
710
711 return hasActiveValues;
712 }
713
714 template<class ValueT, size_t N>
715 inline void
716 BoxSampler::extrema(ValueT (&data)[N][N][N], ValueT& vMin, ValueT &vMax)
717 {
718 vMin = vMax = data[0][0][0];
719 vMin = math::Min(vMin, data[0][0][1]);
720 vMax = math::Max(vMax, data[0][0][1]);
721 vMin = math::Min(vMin, data[0][1][0]);
722 vMax = math::Max(vMax, data[0][1][0]);
723 vMin = math::Min(vMin, data[0][1][1]);
724 vMax = math::Max(vMax, data[0][1][1]);
725 vMin = math::Min(vMin, data[1][0][0]);
726 vMax = math::Max(vMax, data[1][0][0]);
727 vMin = math::Min(vMin, data[1][0][1]);
728 vMax = math::Max(vMax, data[1][0][1]);
729 vMin = math::Min(vMin, data[1][1][0]);
730 vMax = math::Max(vMax, data[1][1][0]);
731 vMin = math::Min(vMin, data[1][1][1]);
732 vMax = math::Max(vMax, data[1][1][1]);
733 }
734
735
736 template<class ValueT, size_t N>
737 inline ValueT
738 BoxSampler::trilinearInterpolation(ValueT (&data)[N][N][N], const Vec3R& uvw)
739 {
740 // Trilinear interpolation:
741 // The eight surrounding latice values are used to construct the result. \n
742 // result(x,y,z) =
743 // v000 (1-x)(1-y)(1-z) + v001 (1-x)(1-y)z + v010 (1-x)y(1-z) + v011 (1-x)yz
744 // + v100 x(1-y)(1-z) + v101 x(1-y)z + v110 xy(1-z) + v111 xyz
745
746 ValueT resultA, resultB;
747
748 resultA = data[0][0][0] + ValueT((data[0][0][1] - data[0][0][0]) * uvw[2]);
749 resultB = data[0][1][0] + ValueT((data[0][1][1] - data[0][1][0]) * uvw[2]);
750 ValueT result1 = resultA + ValueT((resultB-resultA) * uvw[1]);
751
752 resultA = data[1][0][0] + ValueT((data[1][0][1] - data[1][0][0]) * uvw[2]);
753 resultB = data[1][1][0] + ValueT((data[1][1][1] - data[1][1][0]) * uvw[2]);
754 ValueT result2 = resultA + ValueT((resultB - resultA) * uvw[1]);
755
756 return result1 + ValueT(uvw[0] * (result2 - result1));
757 }
758
759
760 template<class TreeT>
761 inline bool
762 BoxSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
763 typename TreeT::ValueType& result)
764 {
765 typedef typename TreeT::ValueType ValueT;
766
767 const Vec3i inIdx = local_util::floorVec3(inCoord);
768 const Vec3R uvw = inCoord - inIdx;
769
770 // Retrieve the values of the eight voxels surrounding the
771 // fractional source coordinates.
772 ValueT data[2][2][2];
773
774 const bool hasActiveValues = BoxSampler::probeValues(data, inTree, Coord(inIdx));
775
776 result = BoxSampler::trilinearInterpolation(data, uvw);
777
778 return hasActiveValues;
779 }
780
781
782 template<class TreeT>
783 inline typename TreeT::ValueType
784 BoxSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
785 {
786 typedef typename TreeT::ValueType ValueT;
787
788 const Vec3i inIdx = local_util::floorVec3(inCoord);
789 const Vec3R uvw = inCoord - inIdx;
790
791 // Retrieve the values of the eight voxels surrounding the
792 // fractional source coordinates.
793 ValueT data[2][2][2];
794
795 BoxSampler::getValues(data, inTree, Coord(inIdx));
796
797 return BoxSampler::trilinearInterpolation(data, uvw);
798 }
799
800
802
803 template<class ValueT, size_t N>
804 inline ValueT
805 QuadraticSampler::triquadraticInterpolation(ValueT (&data)[N][N][N], const Vec3R& uvw)
806 {
808 ValueT vx[3];
809 for (int dx = 0; dx < 3; ++dx) {
810 ValueT vy[3];
811 for (int dy = 0; dy < 3; ++dy) {
812 // Fit a parabola to three contiguous samples in z
813 // (at z=-1, z=0 and z=1), then evaluate the parabola at z',
814 // where z' is the fractional part of inCoord.z, i.e.,
815 // inCoord.z - inIdx.z. The coefficients come from solving
816 //
817 // | (-1)^2 -1 1 || a | | v0 |
818 // | 0 0 1 || b | = | v1 |
819 // | 1^2 1 1 || c | | v2 |
820 //
821 // for a, b and c.
822 const ValueT* vz = &data[dx][dy][0];
823 const ValueT
824 az = static_cast<ValueT>(0.5 * (vz[0] + vz[2]) - vz[1]),
825 bz = static_cast<ValueT>(0.5 * (vz[2] - vz[0])),
826 cz = static_cast<ValueT>(vz[1]);
827 vy[dy] = static_cast<ValueT>(uvw.z() * (uvw.z() * az + bz) + cz);
828 }//loop over y
829 // Fit a parabola to three interpolated samples in y, then
830 // evaluate the parabola at y', where y' is the fractional
831 // part of inCoord.y.
832 const ValueT
833 ay = static_cast<ValueT>(0.5 * (vy[0] + vy[2]) - vy[1]),
834 by = static_cast<ValueT>(0.5 * (vy[2] - vy[0])),
835 cy = static_cast<ValueT>(vy[1]);
836 vx[dx] = static_cast<ValueT>(uvw.y() * (uvw.y() * ay + by) + cy);
837 }//loop over x
838 // Fit a parabola to three interpolated samples in x, then
839 // evaluate the parabola at the fractional part of inCoord.x.
840 const ValueT
841 ax = static_cast<ValueT>(0.5 * (vx[0] + vx[2]) - vx[1]),
842 bx = static_cast<ValueT>(0.5 * (vx[2] - vx[0])),
843 cx = static_cast<ValueT>(vx[1]);
844 return static_cast<ValueT>(uvw.x() * (uvw.x() * ax + bx) + cx);
845 }
846
847 template<class TreeT>
848 inline bool
849 QuadraticSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
850 typename TreeT::ValueType& result)
851 {
852 typedef typename TreeT::ValueType ValueT;
853
854 const Vec3i inIdx = local_util::floorVec3(inCoord), inLoIdx = inIdx - Vec3i(1, 1, 1);
855 const Vec3R uvw = inCoord - inIdx;
856
857 // Retrieve the values of the 27 voxels surrounding the
858 // fractional source coordinates.
859 bool active = false;
860 ValueT data[3][3][3];
861 for (int dx = 0, ix = inLoIdx.x(); dx < 3; ++dx, ++ix) {
862 for (int dy = 0, iy = inLoIdx.y(); dy < 3; ++dy, ++iy) {
863 for (int dz = 0, iz = inLoIdx.z(); dz < 3; ++dz, ++iz) {
864 if (inTree.probeValue(Coord(ix, iy, iz), data[dx][dy][dz])) active = true;
865 }
866 }
867 }
868
869 result = QuadraticSampler::triquadraticInterpolation(data, uvw);
870
871 return active;
872 }
873
874 template<class TreeT>
875 inline typename TreeT::ValueType
876 QuadraticSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
877 {
878 typedef typename TreeT::ValueType ValueT;
879
880 const Vec3i inIdx = local_util::floorVec3(inCoord), inLoIdx = inIdx - Vec3i(1, 1, 1);
881 const Vec3R uvw = inCoord - inIdx;
882
883 // Retrieve the values of the 27 voxels surrounding the
884 // fractional source coordinates.
885 ValueT data[3][3][3];
886 for (int dx = 0, ix = inLoIdx.x(); dx < 3; ++dx, ++ix) {
887 for (int dy = 0, iy = inLoIdx.y(); dy < 3; ++dy, ++iy) {
888 for (int dz = 0, iz = inLoIdx.z(); dz < 3; ++dz, ++iz) {
889 data[dx][dy][dz] = inTree.getValue(Coord(ix, iy, iz));
890 }
891 }
892 }
893
894 return QuadraticSampler::triquadraticInterpolation(data, uvw);
895 }
896
897
899
900
901 template<class TreeT>
902 inline bool
903 StaggeredPointSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
904 typename TreeT::ValueType& result)
905 {
906 typedef typename TreeT::ValueType ValueType;
907
908 ValueType tempX, tempY, tempZ;
909 bool active = false;
910
911 active = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0, 0), tempX) || active;
912 active = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0.5, 0), tempY) || active;
913 active = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0, 0.5), tempZ) || active;
914
915 result.x() = tempX.x();
916 result.y() = tempY.y();
917 result.z() = tempZ.z();
918
919 return active;
920 }
921
922 template<class TreeT>
923 inline typename TreeT::ValueType
924 StaggeredPointSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
925 {
926 typedef typename TreeT::ValueType ValueT;
927
928 const ValueT tempX = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0.0, 0.0));
929 const ValueT tempY = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.5, 0.0));
930 const ValueT tempZ = PointSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.0, 0.5));
931
932 return ValueT(tempX.x(), tempY.y(), tempZ.z());
933 }
934
935
937
938
939 template<class TreeT>
940 inline bool
941 StaggeredBoxSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
942 typename TreeT::ValueType& result)
943 {
944 typedef typename TreeT::ValueType ValueType;
945
946 ValueType tempX, tempY, tempZ;
947 tempX = tempY = tempZ = zeroVal<ValueType>();
948 bool active = false;
949
950 active = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0, 0), tempX) || active;
951 active = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0.5, 0), tempY) || active;
952 active = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0, 0.5), tempZ) || active;
953
954 result.x() = tempX.x();
955 result.y() = tempY.y();
956 result.z() = tempZ.z();
957
958 return active;
959 }
960
961 template<class TreeT>
962 inline typename TreeT::ValueType
963 StaggeredBoxSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
964 {
965 typedef typename TreeT::ValueType ValueT;
966
967 const ValueT tempX = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0.0, 0.0));
968 const ValueT tempY = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.5, 0.0));
969 const ValueT tempZ = BoxSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.0, 0.5));
970
971 return ValueT(tempX.x(), tempY.y(), tempZ.z());
972 }
973
974
976
977
978 template<class TreeT>
979 inline bool
980 StaggeredQuadraticSampler::sample(const TreeT& inTree, const Vec3R& inCoord,
981 typename TreeT::ValueType& result)
982 {
983 typedef typename TreeT::ValueType ValueType;
984
985 ValueType tempX, tempY, tempZ;
986 bool active = false;
987
988 active = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0, 0), tempX) || active;
989 active = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0.5, 0), tempY) || active;
990 active = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0, 0, 0.5), tempZ) || active;
991
992 result.x() = tempX.x();
993 result.y() = tempY.y();
994 result.z() = tempZ.z();
995
996 return active;
997 }
998
999 template<class TreeT>
1000 inline typename TreeT::ValueType
1001 StaggeredQuadraticSampler::sample(const TreeT& inTree, const Vec3R& inCoord)
1002 {
1003 typedef typename TreeT::ValueType ValueT;
1004
1005 const ValueT tempX = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.5, 0.0, 0.0));
1006 const ValueT tempY = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.5, 0.0));
1007 const ValueT tempZ = QuadraticSampler::sample<TreeT>(inTree, inCoord + Vec3R(0.0, 0.0, 0.5));
1008
1009 return ValueT(tempX.x(), tempY.y(), tempZ.z());
1010 }
1011
1013
1014 template <>
1015 struct Sampler<0, false> : public PointSampler {};
1016
1017 template <>
1018 struct Sampler<1, false> : public BoxSampler {};
1019
1020 template <>
1021 struct Sampler<2, false> : public QuadraticSampler {};
1022
1023 template <>
1024 struct Sampler<0, true> : public StaggeredPointSampler {};
1025
1026 template <>
1027 struct Sampler<1, true> : public StaggeredBoxSampler {};
1028
1029 template <>
1030 struct Sampler<2, true> : public StaggeredQuadraticSampler {};
1031
1032 } // namespace tools
1033 } // namespace OPENVDB_VERSION_NAME
1034 } // namespace openvdb
1035
1036 #endif // OPENVDB_TOOLS_INTERPOLATION_HAS_BEEN_INCLUDED
1037
1038 // Copyright (c) 2012-2016 DreamWorks Animation LLC
1039 // All rights reserved. This software is distributed under the
1040 // Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
openvdb::v3_2_0::tools::DualGridSampler::isAligned
bool isAligned() const
Return true if the two grids are aligned.
Definition: Interpolation.h:513
openvdb::v3_2_0::tools::StaggeredPointSampler::staggered
static bool staggered()
Definition: Interpolation.h:229
openvdb::v3_2_0::tools::GridSampler::wsSample
ValueType wsSample(const Vec3d &wspoint) const
Sample in world space.
Definition: Interpolation.h:366
openvdb::v3_2_0::tools::StaggeredBoxSampler::staggered
static bool staggered()
Definition: Interpolation.h:252
openvdb::v3_2_0::tools::AlphaMask::MaskType
MaskT MaskType
Definition: Interpolation.h:575
openvdb::v3_2_0::tools::PointSampler::order
static size_t order()
Definition: Interpolation.h:130
openvdb::v3_2_0::tools::local_util::ceilVec3
Vec3i ceilVec3(const Vec3R &v)
Definition: Interpolation.h:617
openvdb::v3_2_0::tools::PointSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:127
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:273
openvdb::v3_2_0::tools::GridSampler::AccessorType
TreeAdapter< GridOrTreeType >::AccessorType AccessorType
Definition: Interpolation.h:317
openvdb::v3_2_0::math::Vec3::z
T & z()
Definition: Vec3.h:99
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::transform
const math::Transform & transform() const
Definition: Interpolation.h:407
Math.h
General-purpose arithmetic and comparison routines, most of which accept arbitrary value types (or at...
openvdb::v3_2_0::tools::StaggeredPointSampler::consistent
static bool consistent()
Definition: Interpolation.h:228
openvdb::v3_2_0::tools::GridSampler::GridSampler
GridSampler(const TreeType &tree, const math::Transform &transform)
Definition: Interpolation.h:325
openvdb::v3_2_0::tools::BoxSampler::staggered
static bool staggered()
Definition: Interpolation.h:152
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::isSample
ValueType isSample(const Coord &ijk) const
Sample value in integer index space.
Definition: Interpolation.h:432
openvdb::v3_2_0::tools::GridSampler::isSample
ValueType isSample(const Coord &ijk) const
Sample value in integer index space.
Definition: Interpolation.h:353
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::isAligned
bool isAligned() const
Return true if the two grids are aligned.
Definition: Interpolation.h:554
openvdb::v3_2_0::math::Min
const Type & Min(const Type &a, const Type &b)
Return the minimum of two values.
Definition: Math.h:622
openvdb::v3_2_0::math::Vec3< Real >
openvdb::v3_2_0::tools::local_util::roundVec3
Vec3i roundVec3(const Vec3R &v)
Definition: Interpolation.h:624
openvdb::v3_2_0::tools::StaggeredPointSampler::order
static size_t order()
Definition: Interpolation.h:230
openvdb::v3_2_0::tools::QuadraticSampler::name
static const char * name()
Definition: Interpolation.h:191
openvdb::v3_2_0::tools::GridSampler::TreeType
TreeAdapter< GridOrTreeType >::TreeType TreeType
Definition: Interpolation.h:316
openvdb::v3_2_0::tools::PointSampler::name
static const char * name()
Definition: Interpolation.h:125
openvdb::v3_2_0::math::Coord::ValueType
Int32 ValueType
Definition: Coord.h:55
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::isSample
ValueType isSample(const Vec3d &ispoint) const
Sample in fractional index space.
Definition: Interpolation.h:436
openvdb::v3_2_0::tools::AlphaMask::FloatType
FloatT FloatType
Definition: Interpolation.h:577
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::staggered
static bool staggered()
Definition: Interpolation.h:275
openvdb::v3_2_0::tools::StaggeredPointSampler::radius
static int radius()
Definition: Interpolation.h:226
openvdb::v3_2_0::tools::QuadraticSampler::staggered
static bool staggered()
Definition: Interpolation.h:195
openvdb::v3_2_0::tools::QuadraticSampler::radius
static int radius()
Definition: Interpolation.h:192
openvdb::v3_2_0::tools::PointSampler::consistent
static bool consistent()
Definition: Interpolation.h:128
openvdb::v3_2_0::math::Coord
Signed (x, y, z) 32-bit integer coordinates.
Definition: Coord.h:47
openvdb::v3_2_0::tools::DualGridSampler::DualGridSampler
DualGridSampler(const GridType &sourceGrid, const math::Transform &targetXform)
Grid and transform constructor.
Definition: Interpolation.h:483
openvdb::v3_2_0::tools::GridSampler::Ptr
boost::shared_ptr< GridSampler > Ptr
Definition: Interpolation.h:313
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::GridType
Grid< TreeType > GridType
Definition: Interpolation.h:529
openvdb::v3_2_0::tools::BoxSampler::consistent
static bool consistent()
Definition: Interpolation.h:151
openvdb::v3_2_0::tools::composite::max
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & max(const T &a, const T &b)
Definition: Composite.h:132
openvdb::v3_2_0::tools::StaggeredQuadraticSampler
Definition: Interpolation.h:269
Transform.h
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::radius
static int radius()
Definition: Interpolation.h:272
openvdb::v3_2_0::tools::DualGridSampler::GridType
TreeAdapter< GridOrTreeT >::GridType GridType
Definition: Interpolation.h:476
openvdb::v3_2_0::math::SmoothUnitStep
Type SmoothUnitStep(Type x)
Return 0 if x < 0, 1 if x > 1 or else .
Definition: Math.h:272
openvdb::v3_2_0::tools::BoxSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:150
openvdb::v3_2_0::tools::StaggeredBoxSampler
Definition: Interpolation.h:246
openvdb::v3_2_0::tools::GridSampler::transform
const math::Transform & transform() const
Definition: Interpolation.h:328
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::TreeType
TreeT TreeType
Definition: Interpolation.h:528
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::sampleVoxel
ValueType sampleVoxel(typename Coord::ValueType i, typename Coord::ValueType j, typename Coord::ValueType k) const
Sample value in integer index space.
Definition: Interpolation.h:423
openvdb::v3_2_0::tree::ValueAccessor< TreeType >
openvdb::v3_2_0::math::Vec3i
Vec3< int32_t > Vec3i
Definition: Vec3.h:648
openvdb::v3_2_0::tools::QuadraticSampler::order
static size_t order()
Definition: Interpolation.h:196
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::name
static const char * name()
Definition: Interpolation.h:271
openvdb::v3_2_0::tools::StaggeredBoxSampler::name
static const char * name()
Definition: Interpolation.h:248
openvdb::v3_2_0::tools::GridSampler::isSample
ValueType isSample(const Vec3d &ispoint) const
Sample in fractional index space.
Definition: Interpolation.h:357
openvdb::v3_2_0::tools::GridSampler::sampleVoxel
ValueType sampleVoxel(const RealType &x, const RealType &y, const RealType &z) const
Sample a point in index space in the grid.
Definition: Interpolation.h:335
openvdb::v3_2_0::tools::DualGridSampler::operator()
ValueType operator()(const Coord &ijk) const
Return the value of the source grid at the index coordinates, ijk, relative to the target grid (or it...
Definition: Interpolation.h:506
openvdb::v3_2_0::tools::Sampler
Provises a unified interface for sampling, i.e. interpolation.
Definition: Interpolation.h:90
openvdb::v3_2_0::tools::StaggeredPointSampler::name
static const char * name()
Definition: Interpolation.h:225
openvdb::v3_2_0::tools::BoxSampler
Definition: Interpolation.h:146
OPENVDB_VERSION_NAME
#define OPENVDB_VERSION_NAME
Definition: version.h:43
openvdb::v3_2_0::tools::DualGridSampler
This is a simple convenience class that allows for sampling from a source grid into the index space o...
Definition: Interpolation.h:472
openvdb::v3_2_0::math::Vec3d
Vec3< double > Vec3d
Definition: Vec3.h:651
openvdb::v3_2_0::tools::StaggeredPointSampler
Definition: Interpolation.h:223
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::ValueType
TreeT::ValueType ValueType
Definition: Interpolation.h:527
openvdb::v3_2_0::tools::BoxSampler::name
static const char * name()
Definition: Interpolation.h:148
openvdb::v3_2_0::tools::AlphaMask::mSampler
tools::DualGridSampler< AccT, SamplerT > mSampler
Definition: Interpolation.h:600
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::AccessorType
tree::ValueAccessor< TreeT > AccessorType
Definition: Interpolation.h:530
openvdb::v3_2_0::tools::StaggeredBoxSampler::radius
static int radius()
Definition: Interpolation.h:249
openvdb::v3_2_0::tools::AlphaMask::AlphaMask
AlphaMask(const GridT &grid, const MaskT &mask, FloatT min, FloatT max, bool invert)
Definition: Interpolation.h:579
openvdb::v3_2_0::tools::DualGridSampler::DualGridSampler
DualGridSampler(const TreeType &sourceTree, const math::Transform &sourceXform, const math::Transform &targetXform)
Tree and transform constructor.
Definition: Interpolation.h:495
openvdb::v3_2_0::math::Vec3::x
T & x()
Reference to the component, e.g. v.x() = 4.5f;.
Definition: Vec3.h:97
openvdb::v3_2_0::math::Transform
Calculate an axis-aligned bounding box in index space from a bounding sphere in world space...
Definition: Transform.h:66
openvdb::v3_2_0::tools::AlphaMask
Definition: Interpolation.h:570
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::consistent
static bool consistent()
Definition: Interpolation.h:274
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::GridSampler
GridSampler(const AccessorType &acc, const math::Transform &transform)
Definition: Interpolation.h:403
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::Ptr
boost::shared_ptr< GridSampler > Ptr
Definition: Interpolation.h:395
openvdb
Definition: Exceptions.h:39
openvdb::v3_2_0::tools::PointSampler::radius
static int radius()
Definition: Interpolation.h:126
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::wsSample
ValueType wsSample(const Vec3d &wspoint) const
Sample in world space.
Definition: Interpolation.h:445
openvdb::v3_2_0::tools::AlphaMask::SamlerType
SamplerT SamlerType
Definition: Interpolation.h:576
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::sampleVoxel
ValueType sampleVoxel(const RealType &x, const RealType &y, const RealType &z) const
Sample a point in index space in the grid.
Definition: Interpolation.h:414
openvdb::v3_2_0::tools::QuadraticSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:193
openvdb::v3_2_0::tools::QuadraticSampler::consistent
static bool consistent()
Definition: Interpolation.h:194
version.h
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::ValueType
TreeT::ValueType ValueType
Definition: Interpolation.h:396
openvdb::v3_2_0::tools::AlphaMask::GridType
GridT GridType
Definition: Interpolation.h:574
openvdb::v3_2_0::TreeAdapter::TreeType
_TreeType TreeType
Definition: Grid.h:900
openvdb::v3_2_0::tools::AlphaMask::operator()
bool operator()(const Coord &xyz, FloatT &a, FloatT &b) const
Definition: Interpolation.h:589
openvdb::v3_2_0::tools::BoxSampler::radius
static int radius()
Definition: Interpolation.h:149
openvdb::v3_2_0::tools::local_util::floorVec3
Vec3i floorVec3(const Vec3R &v)
Definition: Interpolation.h:610
openvdb::v3_2_0::tools::StaggeredBoxSampler::order
static size_t order()
Definition: Interpolation.h:253
ValueAccessor.h
openvdb::v3_2_0::tools::QuadraticSampler
Definition: Interpolation.h:189
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::operator()
ValueType operator()(const Coord &ijk) const
Return the value of the source grid at the index coordinates, ijk, relative to the target grid...
Definition: Interpolation.h:547
openvdb::v3_2_0::math::Vec3::y
T & y()
Definition: Vec3.h:98
openvdb::v3_2_0::tools::GridSampler::ValueType
GridOrTreeType::ValueType ValueType
Definition: Interpolation.h:314
openvdb::v3_2_0::tools::AlphaMask::mAcc
AccT mAcc
Definition: Interpolation.h:599
openvdb::v3_2_0::tools::AlphaMask::AccT
MaskType::ConstAccessor AccT
Definition: Interpolation.h:598
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::TreeType
TreeT TreeType
Definition: Interpolation.h:397
openvdb::v3_2_0::tools::AlphaMask::mMin
const FloatT mMin
Definition: Interpolation.h:601
Grid.h
openvdb::v3_2_0::math::Max
const Type & Max(const Type &a, const Type &b)
Return the maximum of two values.
Definition: Math.h:561
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::AccessorType
tree::ValueAccessor< TreeT > AccessorType
Definition: Interpolation.h:399
openvdb::v3_2_0::Vec3R
math::Vec3< Real > Vec3R
Definition: Types.h:76
openvdb::v3_2_0::tools::extrema
math::Extrema extrema(const IterT &iter, bool threaded=true)
Iterate over a scalar grid and compute extrema (min/max) of the values of the voxels that are visited...
Definition: Statistics.h:379
openvdb::v3_2_0::tools::StaggeredBoxSampler::consistent
static bool consistent()
Definition: Interpolation.h:251
OPENVDB_USE_VERSION_NAMESPACE
#define OPENVDB_USE_VERSION_NAMESPACE
Definition: version.h:71
openvdb::v3_2_0::tools::StaggeredQuadraticSampler::order
static size_t order()
Definition: Interpolation.h:276
openvdb::v3_2_0::tools::DualGridSampler::ValueType
GridOrTreeT::ValueType ValueType
Definition: Interpolation.h:475
openvdb::v3_2_0::tools::GridSampler< tree::ValueAccessor< TreeT >, SamplerType >::GridType
Grid< TreeType > GridType
Definition: Interpolation.h:398
openvdb::v3_2_0::tools::AlphaMask::mInvert
const bool mInvert
Definition: Interpolation.h:602
openvdb::v3_2_0::tools::StaggeredPointSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:227
openvdb::v3_2_0::tools::DualGridSampler< tree::ValueAccessor< TreeT >, SamplerT >::DualGridSampler
DualGridSampler(const AccessorType &sourceAccessor, const math::Transform &sourceXform, const math::Transform &targetXform)
ValueAccessor and transform constructor.
Definition: Interpolation.h:536
openvdb::v3_2_0::tools::PointSampler::staggered
static bool staggered()
Definition: Interpolation.h:129
openvdb::v3_2_0::tools::BoxSampler::order
static size_t order()
Definition: Interpolation.h:153
openvdb::v3_2_0::tools::GridSampler
Class that provides the interface for continuous sampling of values in a tree.
Definition: Interpolation.h:310
openvdb::v3_2_0::tools::PointSampler
Definition: Interpolation.h:123
openvdb::v3_2_0::tools::GridSampler::sampleVoxel
ValueType sampleVoxel(typename Coord::ValueType i, typename Coord::ValueType j, typename Coord::ValueType k) const
Sample value in integer index space.
Definition: Interpolation.h:344
openvdb::v3_2_0::tools::DualGridSampler::TreeType
TreeAdapter< GridOrTreeT >::TreeType TreeType
Definition: Interpolation.h:477
openvdb::v3_2_0::Grid
Container class that associates a tree with a transform and metadata.
Definition: Grid.h:54
openvdb::v3_2_0::tools::GridSampler::GridSampler
GridSampler(const GridType &grid)
Definition: Interpolation.h:320
openvdb::v3_2_0::tools::GridSampler::GridType
TreeAdapter< GridOrTreeType >::GridType GridType
Definition: Interpolation.h:315
openvdb::v3_2_0::tools::DualGridSampler::AccessorType
TreeAdapter< GridType >::AccessorType AccessorType
Definition: Interpolation.h:478
openvdb::v3_2_0::tools::StaggeredBoxSampler::mipmap
static bool mipmap()
Definition: Interpolation.h:250
Platform.h
openvdb::v3_2_0::tools::composite::min
const boost::disable_if_c< VecTraits< T >::IsVec, T >::type & min(const T &a, const T &b)
Definition: Composite.h:128