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Proceedings Paper

Analysis and synthesis of motion patterns using the projective plane
Author(s): Cicero Mota; Michael Dorr; Ingo Stuke; Erhardt Barth
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Paper Abstract

We first review theoretical results for the problem of estimating single and multiple transparent motions. For N motions we obtain a M×M generalized structure tensor JN with M = 3 for one, M = 6 for two, and M = 10 for three motions. The analysis of motion patterns is based on the ranks of JN and is thus not only conceptual but provides computable confidence measures for the different types of motions. To resolve the correspondence between the ranks of the tensors and the motion patterns, we introduce the projective plane as a new way of describing motion patterns. In the projective plane, intrinsically 2D spatial patterns (e.g. corners and line ends) that move correspond to points that represent the only admissible velocity, and 1D spatial patterns (e.g. straight edges) that move correspond to lines that represent, as a set of points, the set of admissible velocities. We then show a few examples for how the projective plane can be used to generate novel motion patterns and explain the perception of these patterns. We believe that our results will be useful for designing new stimuli for visual psychophysics and neuroscience and thereby contribute to the understanding of the dynamical properties of human vision.

Paper Details

Date Published: 7 June 2004
PDF: 8 pages
Proc. SPIE 5292, Human Vision and Electronic Imaging IX, (7 June 2004); doi: 10.1117/12.544552
Show Author Affiliations
Cicero Mota, Univ. zu Lubeck (Germany)
Michael Dorr, Univ. zu Lübeck (Germany)
Ingo Stuke, Univ. zu Lubeck (Germany)
Erhardt Barth, Univ. zu Lubeck (Germany)

Published in SPIE Proceedings Vol. 5292:
Human Vision and Electronic Imaging IX
Bernice E. Rogowitz; Thrasyvoulos N. Pappas, Editor(s)

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