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Wildmeshing Toolkit
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Wildmeshing Toolkit
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This is the implementation of the AMIPS energy function of a triangle mesh that can be embedded in 2d or 3d. More...
#include <TriangleAMIPS.hpp>
Public Member Functions | |
| TriangleAMIPS (const TriMesh &mesh, const attribute::MeshAttributeHandle &vertex_attribute_handle) | |
| ~TriangleAMIPS () | |
 Public Member Functions inherited from wmtk::function::PerSimplexAutodiffFunction | |
| PerSimplexAutodiffFunction (const Mesh &mesh, const PrimitiveType primitive_type, const attribute::MeshAttributeHandle &variable_attribute_handle) | |
| ~PerSimplexAutodiffFunction () | |
| double | get_value (const simplex::Simplex &domain_simplex) const override |
| This function is defined over a simplex (normally a triangle or tetrahedron). More... | |
| Eigen::VectorXd | get_gradient (const simplex::Simplex &domain_simplex, const simplex::Simplex &variable_simplex) const override |
| Eigen::MatrixXd | get_hessian (const simplex::Simplex &domain_simplex, const simplex::Simplex &variable_simplex) const override |
| Public Member Functions inherited from wmtk::function::PerSimplexFunction | |
| PerSimplexFunction (const Mesh &mesh, const PrimitiveType primitive_type, const attribute::MeshAttributeHandle &variable_attribute_handle) | |
| virtual | ~PerSimplexFunction () |
| const Mesh & | mesh () const |
| const attribute::MeshAttributeHandle & | attribute_handle () const |
| int64_t | embedded_dimension () const |
Protected Member Functions | |
| DScalar | eval (const simplex::Simplex &domain_simplex, const std::vector< DSVec > &coordinates) const override |
| This function defines a function f(x) where f is defined over a simplex domain and the variables for f are the n vertices coordinates of the simplex. More... | |
| Protected Member Functions inherited from wmtk::function::PerSimplexAutodiffFunction | |
| std::vector< DSVec > | get_coordinates (const simplex::Simplex &domain_simplex, const std::optional< simplex::Simplex > &variable_simplex_opt={}) const |
| This is a helper function that obtains the coordinates of the variables for the function f(x) where f is defined over a domain consists of the input argument domain_tuples. More... | |
| std::vector< DSVec > | get_coordinates (const attribute::Accessor< double > &accessor, const simplex::Simplex &domain_simplex, const std::optional< simplex::Simplex > &variable_simplex_opt={}) const |
Additional Inherited Members | |
| Public Types inherited from wmtk::function::PerSimplexAutodiffFunction | |
| using | DScalar = DScalar2< double, Eigen::Matrix< double, -1, 1 >, Eigen::Matrix< double, -1, -1 > > |
| using | Scalar = typename DScalar::Scalar |
| using | DSVec = Eigen::VectorX< DScalar > |
| Protected Attributes inherited from wmtk::function::PerSimplexFunction | |
| const PrimitiveType | m_primitive_type |
This is the implementation of the AMIPS energy function of a triangle mesh that can be embedded in 2d or 3d.
It uses autodiff encoding for differentiations.
Definition at line 11 of file TriangleAMIPS.hpp.
| wmtk::function::TriangleAMIPS::TriangleAMIPS | ( | const TriMesh & | mesh, |
| const attribute::MeshAttributeHandle & | vertex_attribute_handle | ||
| ) |
Definition at line 9 of file TriangleAMIPS.cpp.
References wmtk::Vertex.
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overrideprotectedvirtual |
This function defines a function f(x) where f is defined over a simplex domain and the variables for f are the n vertices coordinates of the simplex.
The input coordinates are obtained through the get_coordinates function. They are encoded in autodiff type so that the function can be differentiated through autodiff.
| coordinates |
Implements wmtk::function::PerSimplexAutodiffFunction.
Definition at line 21 of file TriangleAMIPS.cpp.
References wmtk::function::utils::amips(), wmtk::function::PerSimplexFunction::embedded_dimension(), wmtk::simplex::Simplex::primitive_type(), and wmtk::Triangle.
1.9.1