A class for the function that defines an m-dimensional implicit affine plane embedded in d-dimensional Euclidean space.
More...
#include <include/gudhi/Functions/Function_affine_plane_in_Rd.h>
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| Eigen::VectorXd | operator() (const Eigen::VectorXd &p) const |
| | Value of the function at a specified point. More...
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std::size_t | amb_d () const |
| | Returns the domain dimension. Same as the ambient dimension of the sphere.
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std::size_t | cod_d () const |
| | Returns the codomain dimension. Same as the codimension of the sphere.
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Eigen::VectorXd | seed () const |
| | Returns a point on the affine plane.
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| | Function_affine_plane_in_Rd (const Eigen::MatrixXd &normal_matrix, const Eigen::VectorXd &offset) |
| | Constructor of the function that defines an m-dimensional implicit affine plane in the d-dimensional Euclidean space. More...
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| | Function_affine_plane_in_Rd (const Eigen::MatrixXd &normal_matrix) |
| | Constructor of the function that defines an m-dimensional implicit affine plane in the d-dimensional Euclidean space that passes through origin. More...
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A class for the function that defines an m-dimensional implicit affine plane embedded in d-dimensional Euclidean space.
- Examples
- manifold_tracing_flat_torus_with_boundary.cpp.
◆ Function_affine_plane_in_Rd() [1/2]
| Gudhi::coxeter_triangulation::Function_affine_plane_in_Rd::Function_affine_plane_in_Rd |
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const Eigen::MatrixXd & |
normal_matrix, |
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const Eigen::VectorXd & |
offset |
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inline |
Constructor of the function that defines an m-dimensional implicit affine plane in the d-dimensional Euclidean space.
- Parameters
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| [in] | normal_matrix | A normal matrix of the affine plane. The number of rows should correspond to the ambient dimension, the number of columns should correspond to the size of the normal basis (codimension). |
| [in] | offset | The offset vector of the affine plane. The dimension of the vector should be the ambient dimension of the manifold. |
◆ Function_affine_plane_in_Rd() [2/2]
| Gudhi::coxeter_triangulation::Function_affine_plane_in_Rd::Function_affine_plane_in_Rd |
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const Eigen::MatrixXd & |
normal_matrix | ) |
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inline |
Constructor of the function that defines an m-dimensional implicit affine plane in the d-dimensional Euclidean space that passes through origin.
- Parameters
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| [in] | normal_matrix | A normal matrix of the affine plane. The number of rows should correspond to the ambient dimension, the number of columns should correspond to the size of the normal basis (codimension). |
◆ operator()()
| Eigen::VectorXd Gudhi::coxeter_triangulation::Function_affine_plane_in_Rd::operator() |
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const Eigen::VectorXd & |
p | ) |
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inline |
Value of the function at a specified point.
- Parameters
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| [in] | p | The input point. The dimension needs to coincide with the ambient dimension. |
The documentation for this class was generated from the following file:
