Chapter 9 – Matching

Publisher Summary There are many situations in which two pictures are matched with one another or a piece of the pictures are matched. The registration of two pictures taken from different positions requires an understanding of imaging geometry, that is, of how three-dimensional scenes are mapped into two-dimensional pictures. In some cases, two pictures of a scene can be registered by applying an overall perspective transformation. More commonly, a simple transformation cannot be used rather a transformation should be defined piecewise, based on comparing the positions of corresponding landmarks in the two pictures. The position comparisons can also be used to determine the three-dimensional positions of points in the pictures. This chapter discusses the mapping of a three-dimensional scene into a two-dimensional picture from the standpoint of the coordinate transformations that are involved. This chapter discusses the transformations that map one Cartesian coordinate system into another — translation, rotation, scale change, and reflection.