Ponca
624fc013d41bc7b7ad27159d1c16f7ce57f5a2e4
Point Cloud Analysis library
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Singular WeightKernel defined in \(\left]0 : 1\right]\). More...
#include <weightKernel.h>
Public Types | |
typedef _Scalar | Scalar |
Scalar type defined outside the class. | |
Public Member Functions | |
Scalar | f (const Scalar &_x) const |
Defines the Singular weighting function \( w(x) = 1 / (x^2) \). | |
Scalar | df (const Scalar &_x) const |
Defines the Singular first order weighting function \( \nabla w(x) = -2 / (x^3) \). | |
Scalar | ddf (const Scalar &_x) const |
Defines the Singular second order weighting function \( \nabla^2 w(x) = 6 / (x^4) \). | |
Static Public Attributes | |
static constexpr bool | isDValid = true |
df is defined and valid on the definition interval | |
static constexpr bool | isDDValid = true |
ddf is defined and valid on the definition interval | |
Singular WeightKernel defined in \(\left]0 : 1\right]\).
Weight function is an implementation of an unnumbered equation but defined in the Appendices in [1]
Definition at line 151 of file weightKernel.h.
typedef _Scalar Ponca::SingularWeightKernel< _Scalar >::Scalar |
Scalar type defined outside the class.
Definition at line 155 of file weightKernel.h.
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inline |
Defines the Singular second order weighting function \( \nabla^2 w(x) = 6 / (x^4) \).
Definition at line 167 of file weightKernel.h.
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inline |
Defines the Singular first order weighting function \( \nabla w(x) = -2 / (x^3) \).
Definition at line 163 of file weightKernel.h.
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inline |
Defines the Singular weighting function \( w(x) = 1 / (x^2) \).
Definition at line 159 of file weightKernel.h.
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staticconstexpr |
ddf is defined and valid on the definition interval
Definition at line 173 of file weightKernel.h.
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staticconstexpr |
df is defined and valid on the definition interval
Definition at line 171 of file weightKernel.h.