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by Baba C. Vemuri, Yanlin Guo
IEEE Trans. on Pattern Analysis and Machine Intelligence
ftp://ftp.cise.ufl.edu/cis/tech-reports/tr98/tr98-014.ps.gz
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Abstract:
In this paper, we introduce a novel geometric shape modeling scheme which allows for representation of global and local shape characteristics of an object. Geometric models are traditionally well suited for representing global shapes without local detail. However, in this paper we propose a powerful geometric shape modeling scheme which allows for the representation of global shapes with local detail and permits model shaping as well as topological changes via physics-based control. The proposed modeling scheme consists of representing shapes by pedal curves and surfaces { pedal curves/surfaces are the loci of the foot of perpendiculars to the tangents of a xed curve/surface from a xed point called the pedal point. By varying the location of the pedal point, one can synthesize a large class of shapes which exhibit both local and global deformations. We introduce physics-based control for shaping these geometric models by letting the pedal point vary and use a snake to represent the position of this varying pedal point. The model dubbed as a \snake pedal " allows for interactive manipulation via forces applied to the snake. We develop a fast numerical
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