Fairing wireframes in industrial surface design

Wireframe is a modeling tool widely used in industrial geometric design. The term wireframe refers to two sets of curves, with the property that each curve from one set intersects with each curve from the other set. Akin to the mu-, v-isocurves in a tensor-product surface, the two sets of curves in...

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Vydáno v:2008 IEEE International Conference on Shape Modeling and Applications s. 29 - 35
Hlavní autoři: Yu-Kun Lai, Yong-Jin Liul, Yu Zang, Shi-Min Hu
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.06.2008
Témata:
Algorithm design and analysis
Computational geometry
Computer industry
I.3.5 [Computational Geometry and Object Modeling]: Geometric algorithms
I.3.5 [Computational Geometry and Object Modeling]: Splines
industrial design
Iterative algorithms
Iterative methods
Laboratories
languages
Solid modeling
Spline
Surface emitting lasers
Surface reconstruction
systems
wireframe fairing
ISBN:9781424422609, 1424422604
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Shrnutí:Wireframe is a modeling tool widely used in industrial geometric design. The term wireframe refers to two sets of curves, with the property that each curve from one set intersects with each curve from the other set. Akin to the mu-, v-isocurves in a tensor-product surface, the two sets of curves in a wireframe span an underlying surface. In many industrial design activities, wireframes are usually set up and adjusted by the designers before the whole surfaces are reconstructed. For adjustment, the fairness of wireframe has a direct influence on the quality of the underlying surface. Wireframe fairing is significantly different from fairing individual curves in that intersections should be preserved and kept in the same order. In this paper, we first present a technique for wireframe fairing by fixing the parameters during fairing. The limitation of fixed parameters is further released by an iterative gradient descent optimization method with step-size control. Experimental results show that our solution is efficient, and produces reasonably fairing results of the wireframes.
ISBN:9781424422609
1424422604
DOI:10.1109/SMI.2008.4547943