论文标题

BS-PATCH:受约束的Bezier参数补丁

BS-Patch: Constrained Bezier Parametric Patch

论文作者

Skala, Vaclav, Ondracka, Vit

论文摘要

Bezier参数贴片经常用于工程实践,尤其是在以机械设计为导向的CAD/CAM系统中。在许多情况下,四边形网格用于参数结构域的镶嵌。我们提出了对Bezier立方矩形贴片(BS-PATCH)的新修饰,该修饰基于以下要求,即对角线曲线必须为3度,而不是度6度,就像在Bezier贴片的情况下一样。提出了条件的理论推导,还提供了一些实验结果。 BS-PATCH对于应用不可接受的U-V结构域不同程度的不同程度的应用程序是方便的。

Bezier parametric patches are used in engineering practice quite often, especially in CAD/CAM systems oriented to mechanical design. In many cases quadrilateral meshes are used for tessellation of parameters domain. We propose a new modification of the Bezier cubic rectangular patch, the BS-patch, which is based on the requirement that diagonal curves must be of degree 3 instead of degree 6 as it is in the case of the Bezier patch. Theoretical derivation of conditions is presented and some experimental results as well. The BS-Patch is convenient for applications where for different tessellation of the u-v domain different degrees of diagonal curves are not acceptable.

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