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Proceedings Paper

Modal models: energy-based implicit functions
Author(s): Stan Sclaroff; Alexander P. Pentland
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Paper Abstract

Previously, we have describe modal analysis, an efficient, physically-based solution for recovering, tracking, and recognizing solid models from 2-D and 3-D sensor data. The underlying representation consists of two levels: modal deformations, which describe the overall shape of a solid, and displacement maps, which provide local and fine surface detail. In this paper, we give details about the mathematics behind implicit function and displacement map calculations. In addition, we describe an extension which can be used to incorporate measurement uncertainty in the recovered modal deformation parameters. The result is an energy-based implicit function; as a consequence, collision detection, path planning, dynamic simulation, and model comparisons can frequently be performed in closed-form--even for complex shapes.

Paper Details

Date Published: 1 November 1992
PDF: 10 pages
Proc. SPIE 1828, Sensor Fusion V, (1 November 1992); doi: 10.1117/12.131633
Show Author Affiliations
Stan Sclaroff, Media Lab./MIT (United States)
Alexander P. Pentland, Media Lab./MIT (United States)

Published in SPIE Proceedings Vol. 1828:
Sensor Fusion V
Paul S. Schenker, Editor(s)

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