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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 6 — Jun. 1, 1999
  • pp: 1238–1253

Frequency domain analysis of general planar rigid motion with finite duration

G. M. Cortelazzo, L. Lucchese, and C. M. Monti  »View Author Affiliations


JOSA A, Vol. 16, Issue 6, pp. 1238-1253 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001238


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Abstract

We present the frequency domain analysis of the most general model of planar rigid motion, i.e., motion under the joint effects of translations and rotations with polynomial-type time dependence. We show that in the frequency domain the contribution of the object’s shape and texture is separate from that of the motion parameters in this general framework. Special attention is devoted to the case of translations and rotations with constant velocity and constant acceleration, which are the most likely candidates for modeling motion in practical contexts. This work also focuses on the distinction between the effects of the motion parameters and those of time duration, a distinction that is necessary for a clear assessment of the effects of acceleration in the frequency domain. The results presented belong to the field of signal theory and may serve as a theoretical basis in the various applications of motion models in the frequency domain, which include pattern recognition, television, image registration, image sequence analysis, and classification and neural modeling of motion perception.

© 1999 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.2960) Image processing : Image analysis

History
Original Manuscript: July 27, 1998
Revised Manuscript: February 5, 1999
Manuscript Accepted: February 5, 1999
Published: June 1, 1999

Citation
G. M. Cortelazzo, L. Lucchese, and C. M. Monti, "Frequency domain analysis of general planar rigid motion with finite duration," J. Opt. Soc. Am. A 16, 1238-1253 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-6-1238

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