On Correspondence, Motion, Scale and Structure of Two Views of a Scene
Chia-Hoang Lee · Purdue e-Pubs (Purdue University System) · 1986
Given two images of an n-points object which undergoes 3D rocation.rranslation and scaling.Our problems are (i) How can we march the corresponding elements in the twO images due to the movement of the object?em all the possible mapping be found?(li) What underlying motions and associated depth components of these points could account for the two images?(iii) Can the object be recovered uniquely?This formulation of the problems referred lO n -poims problem is in me most general setting and does not assume attributes or fe:Hures.A narura.l question to ask is whether an n-pomrs problem is equivalent [0 a set of fewer-pointS problem.This paper presents a method which reduces an n -points problem to a set of 4-poims problem.The effon of reduction talces 0 (n) steps and it als?takes 0 (n) steps to construct all possible mappings of an n-poims set from the solution to a 4-poims problem.Other results include (1) Coplanariry condition of four poin[S in two views.(2) Recovering the tilt direction of the rot:ltional axis using four points in two views.(3) Recovering the scaling factor.