Blender  V3.3
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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 158 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]HThe 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]x1A set of 2D points (2xN or 3xN matrix of column vectors).
[in]x2A set of 2D points (2xN or 3xN matrix of column vectors).
Returns
The squared norm of the asymmetric residuals errors

Definition at line 215 of file homography_error.h.

References H, Residuals(), and x2.

◆ 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]HThe 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]x1A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[in]x2A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
Returns
The squared norm of the asymmetric residual error

Definition at line 231 of file homography_error.h.

References H, Residuals(), and x2.

◆ 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]HThe 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]x1A set of 2D points (2xN or 3xN matrix of column vectors).
[in]x2A set of 2D points (2xN or 3xN matrix of column vectors).
[out]dxA 3xN matrix of column vectors of residuals errors

Definition at line 172 of file homography_error.h.

References col, H, and x2.

Referenced by Error().

◆ 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]HThe 3x3 homography matrix. The estimated homography should approximatelly hold the condition y = H x.
[in]x1A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[in]x2A 2D point (vector of size 2 or 3 (euclidean/homogeneous))
[out]dxA vector of size 3 of the residual error

Definition at line 191 of file homography_error.h.

References libmv::EuclideanToHomogeneous(), H, libmv::SkewMat(), and x2.


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