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Variational skinning of an ordered set of discrete 2D balls

Slabaugh, Greg and Ünal, Gözde and Fang, Tong and Whited, Brian and Rossignac, Jarec (2008) Variational skinning of an ordered set of discrete 2D balls. In: Geometric Modeling and Processing (GMP),

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Official URL: http://dx.doi.org/10.1007/978-3-540-79246-8_34

Abstract

This paper considers the problem of computing an interpolating envelope of an ordered set of 2D balls. By construction, the envelope is constrained to be C1 continuous, and for each ball, it touches the ball at a point and is tangent to the ball at the point of contact. Using an energy formulation, we derive differential equations that are designed to minimize the envelope’s arc length and/or curvature subject to these constraints. Given an initial envelope, we update the envelope’s parameters using the differential equations until convergence occurs. We demonstrate the method’s usefulness in generating interpolating envelopes of balls of different sizes and in various configurations.

Item Type:Papers in Conference Proceedings
Subjects:UNSPECIFIED
ID Code:10706
Deposited By:Gözde Ünal
Deposited On:15 Nov 2008 13:18
Last Modified:15 Nov 2008 13:18

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