Modeling wrinkles on smooth surfaces for footwear design
β Scribed by Fu Jing; Ajay Joneja; Kai Tang
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 428 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
β¦ Synopsis
We describe two new shape operators that superimpose wrinkles on top of a smooth NURBS surface. Previous research studying wrinkles focused mostly on cloth modeling or in animations, which are driven more by visual realism, but allow large elastic deformations. Our operators generate wrinkle-shaped deformations in a region of a smooth surface along a given boundary based on a few basic parametric inputs such as wrinkle magnitude and extent (these terms will be defined in the paper). The essential geometric transformation to map the smooth surface to a wrinkled one will be defined purely in terms of the geometry of the surface and the input parameters. Our model is based on two surface properties: geodesic offsets and surface energy. Practical implementation of the operators is discussed, and examples presented. Finally, the motivation for the operators will be given through their application in the computer-aided design and manufacture of footwear.
π SIMILAR VOLUMES
We prove that on any complex projective smooth fourfold F with NΓ eron-Severi group NS(F) Z, there are only ΓΏnitely many components of the Hilbert scheme parameterizing smooth surfaces not of general type.
## Abstract We give a complete classification of equivariant vector bundles of rank two over smooth complete toric surfaces and construct moduli spaces of such bundles. This note is a direct continuation of an earlier note where we developed a general description of equivariant sheaves on toric var
Reliable estimation of the normal vector at a discrete data point in a scanned cloud data set is essential to the correct implementation of modern CAD/CAM technologies when the continuous CAD model representation is not available. A new method based on fitted directional tangent vectors at the data