libmv::homography::homography2D::AlgebraicError Struct Reference

#include <homography_error.h>

Static Public Member Functions
static void	Residuals (const Mat &H, const Mat &x1, const Mat &x2, Mat3X *dx)
static void	Residuals (const Mat &H, const Vec &x1, const Vec &x2, Vec3 *dx)
static double	Error (const Mat &H, const Mat &x1, const Mat &x2)
static double	Error (const Mat &H, const Vec &x1, const Vec &x2)

Detailed Description

Structure for estimating the algebraic error (cross product) between a vector x2 and the transformed x1 such that Error = ||[x2] * H * x1||^^2 where [x2] is the skew matrix of x2.

Definition at line 162 of file homography_error.h.

Member Function Documentation

Error() [1/2]

static double libmv::homography::homography2D::AlgebraicError::Error ( const Mat & H, const Mat & x1, const Mat & x2 )

inlinestatic

Computes the squared norm of the algebraic residuals between a set of 2D points x2 and the transformed 2D point set x1 such that [x2] * H * x1 where [x2] is the skew matrix of x2.

Parameters

[in]	H	The 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]	x1	A set of 2D points (2xN or 3xN matrix of column vectors).
[in]	x2	A set of 2D points (2xN or 3xN matrix of column vectors).

Returns

The squared norm of the asymmetric residuals errors

Definition at line 221 of file homography_error.h.

References H, and Residuals().

Error() [2/2]

static double libmv::homography::homography2D::AlgebraicError::Error ( const Mat & H, const Vec & x1, const Vec & x2 )

inlinestatic

Computes the squared norm of the algebraic residuals between a 2D point x2 and the transformed 2D point x1 such that [x2] * H * x1 where [x2] is the skew matrix of x2.

Parameters

[in]	H	The 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]	x1	A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[in]	x2	A 2D point (vector of size 2 or 3 (euclidean/homogeneous))

Returns

The squared norm of the asymmetric residual error

Definition at line 237 of file homography_error.h.

References H, and Residuals().

Residuals() [1/2]

static void libmv::homography::homography2D::AlgebraicError::Residuals ( const Mat & H, const Mat & x1, const Mat & x2, Mat3X * dx )

inlinestatic

Computes the algebraic residuals (cross product) between a set of 2D points x2 and the transformed 2D point set x1 such that [x2] * H * x1 where [x2] is the skew matrix of x2.

Parameters

[in]	H	The 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]	x1	A set of 2D points (2xN or 3xN matrix of column vectors).
[in]	x2	A set of 2D points (2xN or 3xN matrix of column vectors).
[out]	dx	A 3xN matrix of column vectors of residuals errors

Definition at line 176 of file homography_error.h.

References col, H, and Residuals().

Referenced by Error(), Error(), and Residuals().

Residuals() [2/2]

static void libmv::homography::homography2D::AlgebraicError::Residuals ( const Mat & H, const Vec & x1, const Vec & x2, Vec3 * dx )

inlinestatic

Computes the algebraic residuals (cross product) between a 2D point x2 and the transformed 2D point x1 such that [x2] * H * x1 where [x2] is the skew matrix of x2.

Parameters

[in]	H	The 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]	x1	A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[in]	x2	A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[out]	dx	A vector of size 3 of the residual error

Definition at line 195 of file homography_error.h.

References libmv::EuclideanToHomogeneous(), H, and libmv::SkewMat().

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

• homography_error.h