Mercurial > hg > orthanc-stone
changeset 189:964118e7e6de wasm
unit test for AlignVectorsWithRotation
author | Sebastien Jodogne <s.jodogne@gmail.com> |
---|---|
date | Fri, 16 Mar 2018 13:19:23 +0100 |
parents | 45b03b04a777 |
children | 465b294a55f0 |
files | Framework/Toolbox/FiniteProjectiveCamera.cpp Framework/Toolbox/GeometryToolbox.cpp Framework/Toolbox/GeometryToolbox.h Framework/Toolbox/LinearAlgebra.cpp Framework/Toolbox/LinearAlgebra.h UnitTestsSources/UnitTestsMain.cpp |
diffstat | 6 files changed, 131 insertions(+), 64 deletions(-) [+] |
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--- a/Framework/Toolbox/FiniteProjectiveCamera.cpp Fri Mar 16 13:02:17 2018 +0100 +++ b/Framework/Toolbox/FiniteProjectiveCamera.cpp Fri Mar 16 13:19:23 2018 +0100 @@ -253,8 +253,8 @@ } Matrix a; - LinearAlgebra::AlignVectorsWithRotation(a, camera - principalPoint, - LinearAlgebra::CreateVector(0, 0, -1)); + GeometryToolbox::AlignVectorsWithRotation(a, camera - principalPoint, + LinearAlgebra::CreateVector(0, 0, -1)); Matrix r = LinearAlgebra::Product(GeometryToolbox::CreateRotationMatrixAlongZ(angle), a);
--- a/Framework/Toolbox/GeometryToolbox.cpp Fri Mar 16 13:02:17 2018 +0100 +++ b/Framework/Toolbox/GeometryToolbox.cpp Fri Mar 16 13:19:23 2018 +0100 @@ -415,5 +415,63 @@ return true; } } + + + void AlignVectorsWithRotation(Matrix& r, + const Vector& a, + const Vector& b) + { + // This is Rodrigues' rotation formula: + // https://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula#Matrix_notation + + // Check also result A4.6 from "Multiple View Geometry in Computer + // Vision - 2nd edition" (p. 584) + + if (a.size() != 3 || + b.size() != 3) + { + throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); + } + + double aNorm = boost::numeric::ublas::norm_2(a); + double bNorm = boost::numeric::ublas::norm_2(b); + + if (LinearAlgebra::IsCloseToZero(aNorm) || + LinearAlgebra::IsCloseToZero(bNorm)) + { + LOG(ERROR) << "Vector with zero norm"; + throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); + } + + Vector aUnit, bUnit; + aUnit = a / aNorm; + bUnit = b / bNorm; + + Vector v; + LinearAlgebra::CrossProduct(v, aUnit, bUnit); + + double cosine = boost::numeric::ublas::inner_prod(aUnit, bUnit); + + if (LinearAlgebra::IsCloseToZero(1 + cosine)) + { + // "a == -b": TODO + throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented); + } + + Matrix k; + LinearAlgebra::CreateSkewSymmetric(k, v); + +#if 0 + double sine = boost::numeric::ublas::norm_2(v); + + r = (boost::numeric::ublas::identity_matrix<double>(3) + + sine * k + + (1 - cosine) * boost::numeric::ublas::prod(k, k)); +#else + r = (boost::numeric::ublas::identity_matrix<double>(3) + + k + + boost::numeric::ublas::prod(k, k) / (1 + cosine)); +#endif + } } }
--- a/Framework/Toolbox/GeometryToolbox.h Fri Mar 16 13:02:17 2018 +0100 +++ b/Framework/Toolbox/GeometryToolbox.h Fri Mar 16 13:19:23 2018 +0100 @@ -95,6 +95,10 @@ const Vector& origin, const Vector& direction); + void AlignVectorsWithRotation(Matrix& r, + const Vector& a, + const Vector& b); + inline float ComputeBilinearInterpolationUnitSquare(float x, float y, float f00, // source(0, 0)
--- a/Framework/Toolbox/LinearAlgebra.cpp Fri Mar 16 13:02:17 2018 +0100 +++ b/Framework/Toolbox/LinearAlgebra.cpp Fri Mar 16 13:19:23 2018 +0100 @@ -537,64 +537,6 @@ } - void AlignVectorsWithRotation(Matrix& r, - const Vector& a, - const Vector& b) - { - // This is Rodrigues' rotation formula: - // https://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula#Matrix_notation - - // Check also result A4.6 from "Multiple View Geometry in Computer - // Vision - 2nd edition" (p. 584) - - if (a.size() != 3 || - b.size() != 3) - { - throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); - } - - double aNorm = boost::numeric::ublas::norm_2(a); - double bNorm = boost::numeric::ublas::norm_2(b); - - if (LinearAlgebra::IsCloseToZero(aNorm) || - LinearAlgebra::IsCloseToZero(bNorm)) - { - LOG(ERROR) << "Vector with zero norm"; - throw Orthanc::OrthancException(Orthanc::ErrorCode_ParameterOutOfRange); - } - - Vector aUnit, bUnit; - aUnit = a / aNorm; - bUnit = b / bNorm; - - Vector v; - LinearAlgebra::CrossProduct(v, aUnit, bUnit); - - double cosine = boost::numeric::ublas::inner_prod(aUnit, bUnit); - - if (LinearAlgebra::IsCloseToZero(1 + cosine)) - { - // "a == -b": TODO - throw Orthanc::OrthancException(Orthanc::ErrorCode_NotImplemented); - } - - Matrix k; - CreateSkewSymmetric(k, v); - -#if 0 - double sine = boost::numeric::ublas::norm_2(v); - - r = (boost::numeric::ublas::identity_matrix<double>(3) + - sine * k + - (1 - cosine) * boost::numeric::ublas::prod(k, k)); -#else - r = (boost::numeric::ublas::identity_matrix<double>(3) + - k + - boost::numeric::ublas::prod(k, k) / (1 + cosine)); -#endif - } - - Matrix InvertScalingTranslationMatrix(const Matrix& t) { if (t.size1() != 4 ||
--- a/Framework/Toolbox/LinearAlgebra.h Fri Mar 16 13:02:17 2018 +0100 +++ b/Framework/Toolbox/LinearAlgebra.h Fri Mar 16 13:19:23 2018 +0100 @@ -284,10 +284,6 @@ void CreateSkewSymmetric(Matrix& s, const Vector& v); - void AlignVectorsWithRotation(Matrix& r, - const Vector& a, - const Vector& b); - Matrix InvertScalingTranslationMatrix(const Matrix& t); bool IsShearMatrix(const Matrix& shear);
--- a/UnitTestsSources/UnitTestsMain.cpp Fri Mar 16 13:02:17 2018 +0100 +++ b/UnitTestsSources/UnitTestsMain.cpp Fri Mar 16 13:19:23 2018 +0100 @@ -658,6 +658,73 @@ } +static bool IsEqualVector(OrthancStone::Vector a, + OrthancStone::Vector b) +{ + if (a.size() == 3 && + b.size() == 3) + { + OrthancStone::LinearAlgebra::NormalizeVector(a); + OrthancStone::LinearAlgebra::NormalizeVector(b); + return OrthancStone::LinearAlgebra::IsCloseToZero(boost::numeric::ublas::norm_2(a - b)); + } + else + { + return false; + } +} + + +TEST(GeometryToolbox, AlignVectorsWithRotation) +{ + OrthancStone::Vector a, b; + OrthancStone::Matrix r; + + OrthancStone::LinearAlgebra::AssignVector(a, -200, 200, -846.63); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b); + ASSERT_TRUE(OrthancStone::LinearAlgebra::IsRotationMatrix(r)); + ASSERT_TRUE(IsEqualVector(OrthancStone::LinearAlgebra::Product(r, a), b)); + + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, b, a); + ASSERT_TRUE(OrthancStone::LinearAlgebra::IsRotationMatrix(r)); + ASSERT_TRUE(IsEqualVector(OrthancStone::LinearAlgebra::Product(r, b), a)); + + OrthancStone::LinearAlgebra::AssignVector(a, 1, 0, 0); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b); + ASSERT_TRUE(OrthancStone::LinearAlgebra::IsRotationMatrix(r)); + ASSERT_TRUE(IsEqualVector(OrthancStone::LinearAlgebra::Product(r, a), b)); + + OrthancStone::LinearAlgebra::AssignVector(a, 0, 1, 0); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b); + ASSERT_TRUE(OrthancStone::LinearAlgebra::IsRotationMatrix(r)); + ASSERT_TRUE(IsEqualVector(OrthancStone::LinearAlgebra::Product(r, a), b)); + + OrthancStone::LinearAlgebra::AssignVector(a, 0, 0, 1); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b); + ASSERT_TRUE(OrthancStone::LinearAlgebra::IsRotationMatrix(r)); + ASSERT_TRUE(IsEqualVector(OrthancStone::LinearAlgebra::Product(r, a), b)); + + OrthancStone::LinearAlgebra::AssignVector(a, 0, 0, 0); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + ASSERT_THROW(OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b), Orthanc::OrthancException); + + // TODO: Deal with opposite vectors + + /* + OrthancStone::LinearAlgebra::AssignVector(a, 0, 0, -1); + OrthancStone::LinearAlgebra::AssignVector(b, 0, 0, 1); + OrthancStone::GeometryToolbox::AlignVectorsWithRotation(r, a, b); + OrthancStone::LinearAlgebra::Print(r); + OrthancStone::LinearAlgebra::Print(boost::numeric::ublas::prod(r, a)); + */ +} + + int main(int argc, char **argv) { Orthanc::Logging::Initialize();