Matching and Motion of Four Points in Two Views
Chia-Hoang Lee · Purdue e-Pubs (Purdue University System) · 1986
ABSI'RACTTwo images of a 4•points object which undergoes 3D rotation, translation without knowing its correspondence are given.The problems are (i) How to match the corresponding elements in the two images due to the movement of the object?Can all the possible mapping be found?(ii) What underlying motions and associated depth components of these points could account for the two images?(iii) What is the structure of the object?This paper presents a method which addresses all these issues in the same framework.The method reduces a 4-points problem into a set of testable conditions and a 3-points problem.This forms the basis for deriving all possible interpretations and relates the correspondence and motion problem together.Examples are provided to illustrate each step of the method.Several applications including "Structure from motion"[2l, and "Perception of structure from motion"[7][8] are also described.