cgv::math::thin_plate_spline< T > Struct Template Reference

A thin plate spline which represents 2d deformations See Fred L. More...

#include <thin_plate_spline.h>

Public Member Functions
vec< T >	map_position (const vec< T > &p)
	deform a 2d point
vec< T >	map_affine_position (const vec< T > &p)
mat< T >	map_positions (const mat< T > &points)
	deform 2d points stored as columns of the matrix points

Static Public Member Functions
static T	U (const T &sqr_dist)
	basis function

Public Attributes
mat< T >	controlpoints
mat< T >	weights
mat< T >	affine_transformation

Detailed Description

template<typename T>
struct cgv::math::thin_plate_spline< T >

A thin plate spline which represents 2d deformations See Fred L.

Bookstein: "Principal Warps: Thin-Plate Splines and the Decomposition of Deformation", 1989, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. II, No. 6

Definition at line 14 of file thin_plate_spline.h.

Member Function Documentation

map_affine_position()

template<typename T >

vec< T > cgv::math::thin_plate_spline< T >::map_affine_position ( const vec< T > &  p )

inline

Definition at line 41 of file thin_plate_spline.h.

map_position()

template<typename T >

vec< T > cgv::math::thin_plate_spline< T >::map_position ( const vec< T > &  p )

inline

deform a 2d point

Definition at line 21 of file thin_plate_spline.h.

References cgv::math::mat< T >::col(), cgv::math::mat< T >::nrows(), cgv::math::vec< T >::size(), and cgv::math::thin_plate_spline< T >::U().

Referenced by cgv::math::thin_plate_spline< T >::map_positions().

map_positions()

template<typename T >

mat< T > cgv::math::thin_plate_spline< T >::map_positions ( const mat< T > &  points )

inline

deform 2d points stored as columns of the matrix points

Definition at line 64 of file thin_plate_spline.h.

References cgv::math::mat< T >::col(), cgv::math::thin_plate_spline< T >::map_position(), cgv::math::mat< T >::ncols(), cgv::math::mat< T >::nrows(), and cgv::math::mat< T >::set_col().

U()

template<typename T >

static T cgv::math::thin_plate_spline< T >::U ( const T &  sqr_dist )

inlinestatic

basis function

Definition at line 76 of file thin_plate_spline.h.

Referenced by cgv::math::thin_plate_spline< T >::map_position().

Member Data Documentation

affine_transformation

template<typename T >

mat<T> cgv::math::thin_plate_spline< T >::affine_transformation

Definition at line 18 of file thin_plate_spline.h.

controlpoints

template<typename T >

mat<T> cgv::math::thin_plate_spline< T >::controlpoints

Definition at line 16 of file thin_plate_spline.h.

weights

template<typename T >

mat<T> cgv::math::thin_plate_spline< T >::weights

Definition at line 17 of file thin_plate_spline.h.

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

• cgv/math/thin_plate_spline.h