Least Square Coordinate Transformation in 2D

Cartesian Coordinate Transformation 2D Similarity,Affine,Projective

Least Square Cartesian Coordinates Transformation between two Cartesian Coordinates

Systems in 2D ( Similarity,Affine,Projective)

function [Y2N,X2N]=CartCoord_Transformation2D(YX,YX_new,Type)

% Sample application data

% 5 control points+ 2 New point to be transformed

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Nr Y1 X1 Y2 X2

% YX=[248 9043.7400 5208.7900 4618.7200 4068.8300

% 257 9218.4200 4833.4900 5579.4100 1115.6000

% 253 9000.0000 5000.0000 4103.9800 2553.3800

% 124 9220.0200 5166.9100 5893.3800 3597.0300

% 125 9242.7000 5039.3800 5946.7000 2626.7000 ];

% Nr Y1 X 1

% YX_new=[ 251 9106.1700 5050.7100

% 289 9066.8600 4878.0900 ];

Nr=YX(:,1);Y1=YX(:,2);X1=YX(:,3);Y2=YX(:,4);X2=YX(:,5);

NrN=YX_new(:,1);Y1N=YX_new(:,2);X1N=YX_new(:,3);

%INPUT

%

% YX % Control points coordinates [Point Y1 X1 Y2 X2]

% YX_new % New points coordinates(to be transformed) [Point_new Y1_new X1_new ]

%

% Y1,X1 : I.system cartesian coordinates

% Y2,X2 : II.system cartesian coordinates

% Type:Type of trasformation methods

% Type=1 SIMILARITY trasformation; number of Control point must be(n)>=2

% Type=2 AFFINE trasformation ; number of Control point must be(n)>=3

% Type=3 PROJECTIVE trasformation; number of Control point must be(n)>=4

%

%OUTPUT

%

% Y2N(m),X2N(m) : Calculated coordinates on II.system

How to cite:

BEKTAS, S.(2005) "Dengeleme Hesabı", Ondokuz Mayis University Press,ISBN 975-

7636-54-1