sot::ThinPlateKernel Class Reference

TPS kernel. More...

#include <rbf.h>

Inheritance diagram for sot::ThinPlateKernel:

Public Member Functions
int	order () const
	Method for getting the order of the kernel. More...
int	phiZero () const
	Method for getting the value of the kernel at 0. More...
double	eval (double dist) const
	Method for evaluating the kernel for a given distance. More...
double	deriv (double dist) const
	Method for evaluating the derivative of the kernel for a given distance. More...
mat	eval (const mat &dists) const
	Method for evaluating the kernel for a matrix of distances. More...
mat	deriv (const mat &dists) const
	Method for evaluating the derivative of the kernel for a matrix of distances. More...

Detailed Description

TPS kernel.

This is an implementation of the popular thin-plate spline kernel \(\varphi(r)=r^2\,\log(r)\) which is of order 2.

Author

David Eriksson, dme65.nosp@m.@cor.nosp@m.nell..nosp@m.edu

Member Function Documentation

double sot::ThinPlateKernel::deriv ( double  dist ) const

inlinevirtual

Method for evaluating the derivative of the kernel for a given distance.

Parameters

dist	Distance for which to evaluate the derivative of the kernel

Returns

Derivative of kernel at dist

Implements sot::Kernel.

mat sot::ThinPlateKernel::deriv ( const mat &  dists ) const

inlinevirtual

Method for evaluating the derivative of the kernel for a matrix of distances.

Parameters

dists

Distances for which to evaluate the derivative of the kernel

Returns

Values of the derivative of the kernel at dists

Implements sot::Kernel.

double sot::ThinPlateKernel::eval ( double  dist ) const

inlinevirtual

Method for evaluating the kernel for a given distance.

Parameters

dist	Distance for which to evaluate the kernel

Returns

Value of kernel at dist

Implements sot::Kernel.

mat sot::ThinPlateKernel::eval ( const mat &  dists ) const

inlinevirtual

Method for evaluating the kernel for a matrix of distances.

Parameters

dists

Distances for which to evaluate the derivative of the kernel

Returns

Values of kernel at dists

Implements sot::Kernel.

int sot::ThinPlateKernel::order ( ) const

inlinevirtual

Method for getting the order of the kernel.

Returns

Order of the kernel

Implements sot::Kernel.

int sot::ThinPlateKernel::phiZero ( ) const

inlinevirtual

Method for getting the value of the kernel at 0.

Returns

Value of kernel at 0

Implements sot::Kernel.

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The documentation for this class was generated from the following file:

• include/sot_bits/rbf.h