A class for the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space.
More...
#include <include/gudhi/Functions/Function_Sm_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 sphere.
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| | Function_Sm_in_Rd (double r, std::size_t m, std::size_t d, Eigen::VectorXd center) |
| | Constructor of the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space. More...
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| | Function_Sm_in_Rd (double r, std::size_t m, std::size_t d) |
| | Constructor of the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space centered at the origin. More...
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| | Function_Sm_in_Rd (double r, std::size_t m, Eigen::VectorXd center) |
| | Constructor of the function that defines an m-dimensional implicit sphere embedded in the (m+1)-dimensional Euclidean space. More...
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| | Function_Sm_in_Rd (double r, std::size_t m) |
| | Constructor of the function that defines an m-dimensional implicit sphere embedded in the (m+1)-dimensional Euclidean space centered at the origin. More...
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A class for the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space.
- Examples
- cell_complex_from_basic_circle_manifold.cpp, manifold_tracing_custom_function.cpp, and manifold_tracing_flat_torus_with_boundary.cpp.
◆ Function_Sm_in_Rd() [1/4]
| Gudhi::coxeter_triangulation::Function_Sm_in_Rd::Function_Sm_in_Rd |
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double |
r, |
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std::size_t |
m, |
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std::size_t |
d, |
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Eigen::VectorXd |
center |
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) |
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inline |
Constructor of the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space.
- Parameters
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| [in] | r | The radius of the sphere. |
| [in] | m | The dimension of the sphere. |
| [in] | d | The ambient dimension of the sphere. |
| [in] | center | The center of the sphere. |
◆ Function_Sm_in_Rd() [2/4]
| Gudhi::coxeter_triangulation::Function_Sm_in_Rd::Function_Sm_in_Rd |
( |
double |
r, |
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std::size_t |
m, |
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std::size_t |
d |
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) |
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inline |
Constructor of the function that defines an m-dimensional implicit sphere embedded in the d-dimensional Euclidean space centered at the origin.
- Parameters
-
| [in] | r | The radius of the sphere. |
| [in] | m | The dimension of the sphere. |
| [in] | d | The ambient dimension of the sphere. |
◆ Function_Sm_in_Rd() [3/4]
| Gudhi::coxeter_triangulation::Function_Sm_in_Rd::Function_Sm_in_Rd |
( |
double |
r, |
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|
std::size_t |
m, |
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|
Eigen::VectorXd |
center |
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) |
| |
|
inline |
Constructor of the function that defines an m-dimensional implicit sphere embedded in the (m+1)-dimensional Euclidean space.
- Parameters
-
| [in] | r | The radius of the sphere. |
| [in] | m | The dimension of the sphere. |
| [in] | center | The center of the sphere. |
◆ Function_Sm_in_Rd() [4/4]
| Gudhi::coxeter_triangulation::Function_Sm_in_Rd::Function_Sm_in_Rd |
( |
double |
r, |
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|
std::size_t |
m |
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) |
| |
|
inline |
Constructor of the function that defines an m-dimensional implicit sphere embedded in the (m+1)-dimensional Euclidean space centered at the origin.
- Parameters
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| [in] | r | The radius of the sphere. |
| [in] | m | The dimension of the sphere. |
◆ operator()()
| Eigen::VectorXd Gudhi::coxeter_triangulation::Function_Sm_in_Rd::operator() |
( |
const Eigen::VectorXd & |
p | ) |
const |
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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:
