1 November 1992 Modal models: energy-based implicit functions
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Proceedings Volume 1828, Sensor Fusion V; (1992) https://doi.org/10.1117/12.131633
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States
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.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Stan Sclaroff, Stan Sclaroff, Alexander P. Pentland, Alexander P. Pentland, } "Modal models: energy-based implicit functions", Proc. SPIE 1828, Sensor Fusion V, (1 November 1992); doi: 10.1117/12.131633; https://doi.org/10.1117/12.131633

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