sot::LinearTail Class Reference

Linear polynomial tail. More...

#include <rbf.h>

Inheritance diagram for sot::LinearTail:

Public Member Functions
int	degree () const
	Method for getting the degree of the tail. More...
mat	eval (const mat &X) const
	Method for evaluating the monomial basis function for multiple points. More...
vec	eval (const vec &x) const
	Method for evaluating the monomial basis function for a given point. More...
mat	deriv (const vec &x) const
	Method for evaluating the derivative of the monomial basis function for a given point. More...
int	dimTail (int dim) const
	Method for the dimensionality of the polynomial space. More...

Detailed Description

Linear polynomial tail.

This is an implementation of the linear polynomial tail with basis \(\{1,x_1,x_2,\dots,x_d\}\) of degree 1. Popular to use with the Cubic or the TPS kernel.

Author

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

Member Function Documentation

int sot::LinearTail::degree ( ) const

inlinevirtual

Method for getting the degree of the tail.

Returns

Degree of the tail

Implements sot::Tail.

mat sot::LinearTail::deriv ( const vec &  point ) const

inlinevirtual

Method for evaluating the derivative of the monomial basis function for a given point.

Parameters

point

Point for which to evaluate the derivative of the monomial basis function of the tail

Returns

Values of the derivative of the monomial basis functions at the point

Implements sot::Tail.

int sot::LinearTail::dimTail ( int  dim ) const

inlinevirtual

Method for the dimensionality of the polynomial space.

Parameters

dim	Dimensionality of the input

Returns

Dimensionality of the polynomial space (number of basis functions)

Implements sot::Tail.

mat sot::LinearTail::eval ( const mat &  points ) const

inlinevirtual

Method for evaluating the monomial basis function for multiple points.

Parameters

points

Points for which to evaluate the monomial basis function of the tail

Returns

Values of the monomial basis functions at the points

Implements sot::Tail.

vec sot::LinearTail::eval ( const vec &  point ) const

inlinevirtual

Method for evaluating the monomial basis function for a given point.

Parameters

point

Point for which to evaluate the monomial basis function of the tail

Returns

Value of the monomial basis functions at the point

Implements sot::Tail.

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

• include/sot_bits/rbf.h