Abstract

We describe a direct-matching approach to determining motion of a rigid body from two time-sequential perspective views. The method does not require finding feature correspondences. It is valid under the following assumptions: (1) Brightness constancy—the brightness of an image point corresponding to a fixed object point does not change after motion. (2) The mathematical form of the object surface is known to within a finite number of parameters. We also show how the computation can be simplified in the case of small motion.

© 1986 Optical Society of America

Two-view motion analysis: a unified algorithm

Xinhua Zhuang, Thomas S. Huang, and Robert M. Haralick
J. Opt. Soc. Am. A 3(9) 1492-1500 (1986)

Structure from two orthographic views of rigid motion

B. M. Bennett, D. D. Hoffman, J. E. Nicola, and C. Prakash
J. Opt. Soc. Am. A 6(7) 1052-1069 (1989)

Analysis of two- and three-dimensional rigid and nonrigid motions in the stereokinetic effect

Dejan Todorović
J. Opt. Soc. Am. A 10(5) 804-826 (1993)

Estimating the motion of a maneuvering target with time-sequentially sampled imagery

J. B. Koskol and J. P. Allebach
J. Opt. Soc. Am. A 3(9) 1504-1511 (1986)

Design of three-dimensional nonimaging concentrators with inhomogeneous media

Juan C. Miñano
J. Opt. Soc. Am. A 3(9) 1345-1353 (1986)