Page 61 - PowerPoint Presentation
P. 61

Homogeneous Coordinates





                 Q: How can we represent translation as a 3x3 matrix?




                                                                  x =      x +     t x
                                                                     '


                                                                  y =      y +    t  y
                                                                     '



                 A: Using the rightmost column:









                                                                                     1         0 t           

                                                                                                          x  

                                                  T   ranslation                 = 0            1 t        y  
                                                                                     

                                                                                       0       0         1   

                                                                                                             
   56   57   58   59   60   61   62   63   64   65   66