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///////////////////////////////////////////////////////////////////////////
//
// Copyright (c) 2012-2018 DreamWorks Animation LLC
//
// All rights reserved. This software is distributed under the
// Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
//
// Redistributions of source code must retain the above copyright
// and license notice and the following restrictions and disclaimer.
//
// * Neither the name of DreamWorks Animation nor the names of
// its contributors may be used to endorse or promote products derived
// from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
// IN NO EVENT SHALL THE COPYRIGHT HOLDERS' AND CONTRIBUTORS' AGGREGATE
// LIABILITY FOR ALL CLAIMS REGARDLESS OF THEIR BASIS EXCEED US$250.00.
//
///////////////////////////////////////////////////////////////////////////
#include <openvdb/Types.h>
#include <openvdb/openvdb.h>
#include <openvdb/tools/GridOperators.h>
#include "util.h" // for unittest_util::makeSphere()
#include <cppunit/extensions/HelperMacros.h>
#include <sstream>
class TestLaplacian: public CppUnit::TestFixture
{
public:
void setUp() override { openvdb::initialize(); }
void tearDown() override { openvdb::uninitialize(); }
CPPUNIT_TEST_SUITE(TestLaplacian);
CPPUNIT_TEST(testISLaplacian); // Laplacian in Index Space
CPPUNIT_TEST(testISLaplacianStencil);
CPPUNIT_TEST(testWSLaplacian); // Laplacian in World Space
CPPUNIT_TEST(testWSLaplacianFrustum); // Laplacian in World Space
CPPUNIT_TEST(testWSLaplacianStencil);
CPPUNIT_TEST(testLaplacianTool); // Laplacian tool
CPPUNIT_TEST(testLaplacianMaskedTool); // Laplacian tool
CPPUNIT_TEST(testOldStyleStencils); // old stencil impl
CPPUNIT_TEST_SUITE_END();
void testISLaplacian();
void testISLaplacianStencil();
void testWSLaplacian();
void testWSLaplacianFrustum();
void testWSLaplacianStencil();
void testLaplacianTool();
void testLaplacianMaskedTool();
void testOldStyleStencils();
};
CPPUNIT_TEST_SUITE_REGISTRATION(TestLaplacian);
void
TestLaplacian::testISLaplacian()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64,64,64);
const Coord c(35,30,40);
const openvdb::Vec3f
center(static_cast<float>(c[0]), static_cast<float>(c[1]), static_cast<float>(c[2]));
const float radius=0.0f;//point at {35,30,40}
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
Coord xyz(35,10,40);
// Index Space Laplacian random access
FloatGrid::ConstAccessor inAccessor = grid->getConstAccessor();
FloatGrid::ValueType result;
result = math::ISLaplacian<math::CD_SECOND>::result(inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
result = math::ISLaplacian<math::CD_FOURTH>::result(inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
result = math::ISLaplacian<math::CD_SIXTH>::result(inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
}
void
TestLaplacian::testISLaplacianStencil()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64,64,64);
const Coord c(35,30,40);
const openvdb::Vec3f
center(static_cast<float>(c[0]), static_cast<float>(c[1]), static_cast<float>(c[2]));
const float radius=0;//point at {35,30,40}
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
Coord xyz(35,10,40);
// Index Space Laplacian stencil access
FloatGrid::ValueType result;
math::SevenPointStencil<FloatGrid> sevenpt(*grid);
sevenpt.moveTo(xyz);
result = math::ISLaplacian<math::CD_SECOND>::result(sevenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
math::ThirteenPointStencil<FloatGrid> thirteenpt(*grid);
thirteenpt.moveTo(xyz);
result = math::ISLaplacian<math::CD_FOURTH>::result(thirteenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
math::NineteenPointStencil<FloatGrid> nineteenpt(*grid);
nineteenpt.moveTo(xyz);
result = math::ISLaplacian<math::CD_SIXTH>::result(nineteenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20.0, result, /*tolerance=*/0.01);
}
void
TestLaplacian::testWSLaplacian()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64,64,64);
const Coord c(35,30,40);
const openvdb::Vec3f
center(static_cast<float>(c[0]), static_cast<float>(c[1]), static_cast<float>(c[2]));
const float radius=0.0f;//point at {35,30,40}
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
Coord xyz(35,10,40);
FloatGrid::ValueType result;
FloatGrid::ConstAccessor inAccessor = grid->getConstAccessor();
// try with a map
math::UniformScaleMap map;
math::MapBase::Ptr rotated_map = map.preRotate(1.5, math::X_AXIS);
// verify the new map is an affine map
CPPUNIT_ASSERT(rotated_map->type() == math::AffineMap::mapType());
math::AffineMap::Ptr affine_map = StaticPtrCast<math::AffineMap, math::MapBase>(rotated_map);
// the laplacian is invariant to rotation
result = math::Laplacian<math::AffineMap, math::CD_SECOND>::result(
*affine_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::AffineMap, math::CD_FOURTH>::result(
*affine_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::AffineMap, math::CD_SIXTH>::result(
*affine_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
// test uniform map
math::UniformScaleMap uniform;
result = math::Laplacian<math::UniformScaleMap, math::CD_SECOND>::result(
uniform, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::UniformScaleMap, math::CD_FOURTH>::result(
uniform, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::UniformScaleMap, math::CD_SIXTH>::result(
uniform, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
// test the GenericMap Grid interface
{
math::GenericMap generic_map(*grid);
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(
generic_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::GenericMap, math::CD_FOURTH>::result(
generic_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
{
// test the GenericMap Transform interface
math::GenericMap generic_map(grid->transform());
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(
generic_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
{
// test the GenericMap Map interface
math::GenericMap generic_map(rotated_map);
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(
generic_map, inAccessor, xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
}
void
TestLaplacian::testWSLaplacianFrustum()
{
using namespace openvdb;
// Create a Frustum Map:
openvdb::BBoxd bbox(Vec3d(0), Vec3d(100));
math::NonlinearFrustumMap frustum(bbox, 1./6., 5);
/// frustum will have depth, far plane - near plane = 5
/// the frustum has width 1 in the front and 6 in the back
math::Vec3d trans(2,2,2);
math::NonlinearFrustumMap::Ptr map =
StaticPtrCast<math::NonlinearFrustumMap, math::MapBase>(
frustum.preScale(Vec3d(10,10,10))->postTranslate(trans));
CPPUNIT_ASSERT(!map->hasUniformScale());
math::Vec3d result;
result = map->voxelSize();
CPPUNIT_ASSERT( math::isApproxEqual(result.x(), 0.1));
CPPUNIT_ASSERT( math::isApproxEqual(result.y(), 0.1));
CPPUNIT_ASSERT( math::isApproxEqual(result.z(), 0.5, 0.0001));
// Create a tree
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/0.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
// Load cos(x)sin(y)cos(z)
Coord ijk(10,10,10);
for (Int32& i=ijk.x(); i < 20; ++i) {
for (Int32& j=ijk.y(); j < 20; ++j) {
for (Int32& k=ijk.z(); k < 20; ++k) {
// world space image of the ijk coord
const Vec3d ws = map->applyMap(ijk.asVec3d());
const float value = float(cos(ws.x() ) * sin( ws.y()) * cos(ws.z()));
tree.setValue(ijk, value);
}
}
}
const Coord testloc(16,16,16);
float test_result = math::Laplacian<math::NonlinearFrustumMap, math::CD_SECOND>::result(
*map, tree, testloc);
float expected_result = -3.f * tree.getValue(testloc);
// The exact solution of Laplacian( cos(x)sin(y)cos(z) ) = -3 cos(x) sin(y) cos(z)
CPPUNIT_ASSERT( math::isApproxEqual(test_result, expected_result, /*tolerance=*/0.02f) );
}
void
TestLaplacian::testWSLaplacianStencil()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64,64,64);
const Coord c(35,30,40);
const openvdb::Vec3f
center(static_cast<float>(c[0]), static_cast<float>(c[1]), static_cast<float>(c[2]));
const float radius=0.0f;//point at {35,30,40}
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
Coord xyz(35,10,40);
FloatGrid::ValueType result;
// try with a map
math::UniformScaleMap map;
math::MapBase::Ptr rotated_map = map.preRotate(1.5, math::X_AXIS);
// verify the new map is an affine map
CPPUNIT_ASSERT(rotated_map->type() == math::AffineMap::mapType());
math::AffineMap::Ptr affine_map = StaticPtrCast<math::AffineMap, math::MapBase>(rotated_map);
// the laplacian is invariant to rotation
math::SevenPointStencil<FloatGrid> sevenpt(*grid);
math::ThirteenPointStencil<FloatGrid> thirteenpt(*grid);
math::NineteenPointStencil<FloatGrid> nineteenpt(*grid);
math::SecondOrderDenseStencil<FloatGrid> dense_2nd(*grid);
math::FourthOrderDenseStencil<FloatGrid> dense_4th(*grid);
math::SixthOrderDenseStencil<FloatGrid> dense_6th(*grid);
sevenpt.moveTo(xyz);
thirteenpt.moveTo(xyz);
nineteenpt.moveTo(xyz);
dense_2nd.moveTo(xyz);
dense_4th.moveTo(xyz);
dense_6th.moveTo(xyz);
result = math::Laplacian<math::AffineMap, math::CD_SECOND>::result(*affine_map, dense_2nd);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::AffineMap, math::CD_FOURTH>::result(*affine_map, dense_4th);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::AffineMap, math::CD_SIXTH>::result(*affine_map, dense_6th);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
// test uniform map
math::UniformScaleMap uniform;
result = math::Laplacian<math::UniformScaleMap, math::CD_SECOND>::result(uniform, sevenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::UniformScaleMap, math::CD_FOURTH>::result(uniform, thirteenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::UniformScaleMap, math::CD_SIXTH>::result(uniform, nineteenpt);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
// test the GenericMap Grid interface
{
math::GenericMap generic_map(*grid);
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(generic_map, dense_2nd);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
result = math::Laplacian<math::GenericMap, math::CD_FOURTH>::result(generic_map, dense_4th);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
{
// test the GenericMap Transform interface
math::GenericMap generic_map(grid->transform());
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(generic_map, dense_2nd);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
{
// test the GenericMap Map interface
math::GenericMap generic_map(rotated_map);
result = math::Laplacian<math::GenericMap, math::CD_SECOND>::result(generic_map, dense_2nd);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/20., result, /*tolerance=*/0.01);
}
}
void
TestLaplacian::testOldStyleStencils()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*backgroundValue=*/5.0);
grid->setTransform(math::Transform::createLinearTransform(/*voxel size=*/0.5));
CPPUNIT_ASSERT(grid->empty());
const Coord dim(32, 32, 32);
const Coord c(35,30,40);
const openvdb::Vec3f center(6.0f, 8.0f, 10.0f);//i.e. (12,16,20) in index space
const float radius=10.0f;
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!grid->empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(grid->activeVoxelCount()));
math::GradStencil<FloatGrid> gs(*grid);
math::WenoStencil<FloatGrid> ws(*grid);
math::CurvatureStencil<FloatGrid> cs(*grid);
Coord xyz(20,16,20);//i.e. 8 voxel or 4 world units away from the center
gs.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/4.0, gs.laplacian(), 0.01);// 2/distance from center
ws.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/4.0, ws.laplacian(), 0.01);// 2/distance from center
cs.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/4.0, cs.laplacian(), 0.01);// 2/distance from center
xyz.reset(12,16,10);//i.e. 10 voxel or 5 world units away from the center
gs.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/5.0, gs.laplacian(), 0.01);// 2/distance from center
ws.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/5.0, ws.laplacian(), 0.01);// 2/distance from center
cs.moveTo(xyz);
CPPUNIT_ASSERT_DOUBLES_EQUAL(2.0/5.0, cs.laplacian(), 0.01);// 2/distance from center
}
void
TestLaplacian::testLaplacianTool()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64, 64, 64);
const openvdb::Vec3f center(35.0f, 30.0f, 40.0f);
const float radius=0.0f;
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
FloatGrid::Ptr lap = tools::laplacian(*grid);
CPPUNIT_ASSERT_EQUAL(int(tree.activeVoxelCount()), int(lap->activeVoxelCount()));
Coord xyz(35,30,30);
CPPUNIT_ASSERT_DOUBLES_EQUAL(
2.0/10.0, lap->getConstAccessor().getValue(xyz), 0.01);// 2/distance from center
xyz.reset(35,10,40);
CPPUNIT_ASSERT_DOUBLES_EQUAL(
2.0/20.0, lap->getConstAccessor().getValue(xyz),0.01);// 2/distance from center
}
void
TestLaplacian::testLaplacianMaskedTool()
{
using namespace openvdb;
FloatGrid::Ptr grid = FloatGrid::create(/*background=*/5.0);
FloatTree& tree = grid->tree();
CPPUNIT_ASSERT(tree.empty());
const Coord dim(64, 64, 64);
const openvdb::Vec3f center(35.0f, 30.0f, 40.0f);
const float radius=0.0f;
unittest_util::makeSphere<FloatGrid>(dim, center, radius, *grid, unittest_util::SPHERE_DENSE);
CPPUNIT_ASSERT(!tree.empty());
CPPUNIT_ASSERT_EQUAL(dim[0]*dim[1]*dim[2], int(tree.activeVoxelCount()));
const openvdb::CoordBBox maskbbox(openvdb::Coord(35, 30, 30), openvdb::Coord(41, 41, 41));
BoolGrid::Ptr maskGrid = BoolGrid::create(false);
maskGrid->fill(maskbbox, true/*value*/, true/*activate*/);
FloatGrid::Ptr lap = tools::laplacian(*grid, *maskGrid);
{// outside the masked region
Coord xyz(34,30,30);
CPPUNIT_ASSERT(!maskbbox.isInside(xyz));
CPPUNIT_ASSERT_DOUBLES_EQUAL(
0, lap->getConstAccessor().getValue(xyz), 0.01);// 2/distance from center
xyz.reset(35,10,40);
CPPUNIT_ASSERT_DOUBLES_EQUAL(
0, lap->getConstAccessor().getValue(xyz),0.01);// 2/distance from center
}
{// inside the masked region
Coord xyz(35,30,30);
CPPUNIT_ASSERT(maskbbox.isInside(xyz));
CPPUNIT_ASSERT_DOUBLES_EQUAL(
2.0/10.0, lap->getConstAccessor().getValue(xyz), 0.01);// 2/distance from center
}
}
// Copyright (c) 2012-2018 DreamWorks Animation LLC
// All rights reserved. This software is distributed under the
// Mozilla Public License 2.0 ( http://www.mozilla.org/MPL/2.0/ )
|
