Paper Details: Downloads: 526
Serial Number: P1151026162
Title: Creating and manipulating surfaces through physics-based curve deformations
Authors: L. H. You and B. P. Tang and X. Y. You and J. J. Zhang
Abstract: In this paper, we present a new method to improve the efficiency of physics-based surface modeling which creates and manipulates surfaces through physics-based curve deformations. The proposed physics-based mathematical model of curve deformations consists of a vector-valued fourth order ordinary differential equation and boundary constraints. An efficient finite difference solution for curve modeling (FDSCM) is developed to solve the mathematical model. The computational efficiency and accuracy from FDSCM are compared to those from the finite difference solution for surface modeling (FDSSM). It is found that FDSCM is more efficient and accurate than FDSSM. The effects of the vector-valued shape control parameters and sculpting forces in the ordinary differential equation together with the boundary tangents in the boundary constraints on curve deformations are investigated. Their strong influences indicate that they are useful shape manipulation tools. With our proposed physics-based curve deformations, we create various geometric models by sweeping a deformed curve or using 2D cross-section curves or 3D feature curves, and manipulate surface shapes by deforming these curves.
Keywords: Surface creation, Surface manipulation, Physics-based curve deformations, Ordinary differential equations, Efficient finite difference solution
Journal/Conference: International Journal of Graphics, Vision and Image Processing
Volume: 10
Issue: 4
Submission Date: 6/25/2010 12:00:00 AM
Review Date: 10/15/2010 12:00:00 AM
Publishing Date: 10/22/2010 12:00:00 AM
Article Downloads: 526
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