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hom_mat2d_to_affine_parT_hom_mat2d_to_affine_parHomMat2dToAffineParHomMat2dToAffineParhom_mat2d_to_affine_par (算子)

名称

hom_mat2d_to_affine_parT_hom_mat2d_to_affine_parHomMat2dToAffineParHomMat2dToAffineParhom_mat2d_to_affine_par — 从齐次二维变换矩阵计算仿射变换参数。

签名

hom_mat2d_to_affine_par( : : HomMat2D : Sx, Sy, Phi, Theta, Tx, Ty)

Herror T_hom_mat2d_to_affine_par(const Htuple HomMat2D, Htuple* Sx, Htuple* Sy, Htuple* Phi, Htuple* Theta, Htuple* Tx, Htuple* Ty)

void HomMat2dToAffinePar(const HTuple& HomMat2D, HTuple* Sx, HTuple* Sy, HTuple* Phi, HTuple* Theta, HTuple* Tx, HTuple* Ty)

double HHomMat2D::HomMat2dToAffinePar(double* Sy, double* Phi, double* Theta, double* Tx, double* Ty) const

static void HOperatorSet.HomMat2dToAffinePar(HTuple homMat2D, out HTuple sx, out HTuple sy, out HTuple phi, out HTuple theta, out HTuple tx, out HTuple ty)

double HHomMat2D.HomMat2dToAffinePar(out double sy, out double phi, out double theta, out double tx, out double ty)

def hom_mat2d_to_affine_par(hom_mat_2d: Sequence[float]) -> Tuple[float, float, float, float, float, float]

描述

hom_mat2d_to_affine_parhom_mat2d_to_affine_parHomMat2dToAffineParHomMat2dToAffineParHomMat2dToAffineParhom_mat2d_to_affine_par computes the affine transformation parameters corresponding to the homogeneous 2D transformation matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d. The parameters SxSxSxSxsxsx and SySySySysysy determine how the transformation scales the original x- and y-axes, respectively. The two scaling factors are always positive. The angle ThetaThetaThetaThetathetatheta describes whether the transformed coordinate axes are orthogonal (ThetaThetaThetaThetathetatheta = 0) or slanted. If , the transformation contains a reflection. The angle PhiPhiPhiPhiphiphi determines the rotation of the transformed x-axis with respect to the original x-axis. The parameters TxTxTxTxtxtx and TyTyTyTytyty determine the translation of the two coordinate systems. The matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d can be constructed from the six transformation parameters by the following operator sequence:

hom_mat2d_identity(HomMat2DIdentity)hom_mat2d_identity(HomMat2DIdentity)HomMat2dIdentity(HomMat2DIdentity)HomMat2dIdentity(HomMat2DIdentity)HomMat2dIdentity(HomMat2DIdentity)hom_mat2d_identity(HomMat2DIdentity)
hom_mat2d_scale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)hom_mat2d_scale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)HomMat2dScale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)HomMat2dScale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)HomMat2dScale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)hom_mat2d_scale(HomMat2DIdentity, Sx, Sy, 0, 0, HomMat2DScale)
hom_mat2d_slant(HomMat2DScale, Theta, 'y', 0, 0, HomMat2DSlant)hom_mat2d_slant(HomMat2DScale, Theta, "y", 0, 0, HomMat2DSlant)HomMat2dSlant(HomMat2DScale, Theta, "y", 0, 0, HomMat2DSlant)HomMat2dSlant(HomMat2DScale, Theta, "y", 0, 0, HomMat2DSlant)HomMat2dSlant(HomMat2DScale, Theta, "y", 0, 0, HomMat2DSlant)hom_mat2d_slant(HomMat2DScale, Theta, "y", 0, 0, HomMat2DSlant)
hom_mat2d_rotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)hom_mat2d_rotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)HomMat2dRotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)HomMat2dRotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)HomMat2dRotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)hom_mat2d_rotate(HomMat2DSlant, Phi, 0, 0, HomMat2DRotate)
hom_mat2d_translate(HomMat2DRotate, Tx, Ty, HomMat2D)hom_mat2d_translate(HomMat2DRotate, Tx, Ty, HomMat2D)HomMat2dTranslate(HomMat2DRotate, Tx, Ty, HomMat2D)HomMat2dTranslate(HomMat2DRotate, Tx, Ty, HomMat2D)HomMat2dTranslate(HomMat2DRotate, Tx, Ty, HomMat2D)hom_mat2d_translate(HomMat2DRotate, Tx, Ty, HomMat2D)

This is equivalent to the following chain of transformation matrices:

执行信息

参数

HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d (输入控制)  hom_mat2d → HHomMat2D, HTupleSequence[float]HTupleHtuple (real) (double) (double) (double)

输入变换矩阵。

SxSxSxSxsxsx (输出控制)  real → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Scaling factor along the x direction.

SySySySysysy (输出控制)  real → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Scaling factor along the y direction.

PhiPhiPhiPhiphiphi (输出控制)  angle.rad → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Rotation angle.

ThetaThetaThetaThetathetatheta (输出控制)  angle.rad → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Slant angle.

TxTxTxTxtxtx (输出控制)  point.x → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Translation along the x direction.

TyTyTyTytyty (输出控制)  point.y → HTuplefloatHTupleHtuple (real) (double) (double) (double)

Translation along the y direction.

结果

If the matrix HomMat2DHomMat2DHomMat2DHomMat2DhomMat2Dhom_mat_2d is non-degenerate and represents an affine transformation (i.e., not a projective transformation), hom_mat2d_to_affine_parhom_mat2d_to_affine_parHomMat2dToAffineParHomMat2dToAffineParHomMat2dToAffineParhom_mat2d_to_affine_par 返回 2 ( H_MSG_TRUE )。否则，将抛出异常。

可能的前趋

vector_to_hom_mat2dvector_to_hom_mat2dVectorToHomMat2dVectorToHomMat2dVectorToHomMat2dvector_to_hom_mat2d, vector_to_rigidvector_to_rigidVectorToRigidVectorToRigidVectorToRigidvector_to_rigid, vector_to_similarityvector_to_similarityVectorToSimilarityVectorToSimilarityVectorToSimilarityvector_to_similarity, vector_to_anisovector_to_anisoVectorToAnisoVectorToAnisoVectorToAnisovector_to_aniso, point_line_to_hom_mat2dpoint_line_to_hom_mat2dPointLineToHomMat2dPointLineToHomMat2dPointLineToHomMat2dpoint_line_to_hom_mat2d

可能的后继

hom_mat2d_translatehom_mat2d_translateHomMat2dTranslateHomMat2dTranslateHomMat2dTranslatehom_mat2d_translate, hom_mat2d_scalehom_mat2d_scaleHomMat2dScaleHomMat2dScaleHomMat2dScalehom_mat2d_scale, hom_mat2d_rotatehom_mat2d_rotateHomMat2dRotateHomMat2dRotateHomMat2dRotatehom_mat2d_rotate, hom_mat2d_slanthom_mat2d_slantHomMat2dSlantHomMat2dSlantHomMat2dSlanthom_mat2d_slant

模块

基础

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