Cost minimization for animated geometric models in computer graphics
✍ Scribed by Breen, David E.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 328 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1049-8907
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✦ Synopsis
This paper describes how the concept of imposing geometric constraints by minimizing cost functions may be used and extended to accomplish a variety of animated modelling tasks for computer graphics. In this approach a complex 3-D geometric problem is mapped into a scalar minimization formulation. The mapping provides a straightforward method for converting abstract geometric concepts into a construct that is easily computed. The minimization approach is demonstrated in three application areas: computer animation, visualization, and physically-based modelling. In the computer animation application, cost minimization may be used to generate motion paths and joint parameters for animated actors. The approach may also be used to generate deformable models that extract closed 3-D geometric models from volume data for visualization. In the final application, the approach provides the fundamental structure to a physicallybased model of woven cloth.