Abstract

Given two orthographic views of a rigid object that has undergone a three-dimensional rotation and translation, there exists more than one possible solution for the object structure and motion compatible with the two views. All the solutions of this structure and motion problem are found. It is shown that the space of motions consists of all but two rotations about a fixed axis of any one motion solution and that the space of structures consists of scalings and linear shears of any one object structure. The scaling and shear parameters are related according to a fixed ellipse with two points removed.

© 1996 Optical Society of America

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)

Affine structure from motion

Jan J. Koenderink and Andrea J. van Doorn
J. Opt. Soc. Am. A 8(2) 377-385 (1991)

Motion and structure from two perspective views: from essential parameters to Euclidean motion through the fundamental matrix

Zhengyou Zhang
J. Opt. Soc. Am. A 14(11) 2938-2950 (1997)

Incremental rigidity scheme for recovering structure from motion: position-based versus velocity-based formulations

Norberto M. Grzywacz and Ellen C. Hildreth
J. Opt. Soc. Am. A 4(3) 503-518 (1987)

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)