三角网格上五次组合形式的代数曲面重构  

Reconstructing five degree algebraic surface in combining form over triangular meshes

作　　者：厉玉蓉[1] 牛翠霞[1] 

机构地区：[1]山东工商学院计算机科学与技术学院,山东烟台264005

出　　处：《计算机工程与应用》2012年第18期172-174,216,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.60803048);山东省自然科学基金(No.Y2007A28)

摘　　要：提出了三角网格上代数曲面重构的一种方法。构造三个与任意两条边界GC1光滑拼接,与另一条边界GC0拼接的四次代数曲面,将这三个四次代数曲面分别与相应截面相乘并作线性组合,即可得到与三条边界光滑拼接的一个具有组合形式的五次代数曲面。所构造代数曲面具有二次精度、较好局部性、计算复杂度低、较大灵活性等优点。A new method for constructing five degree algebraic surface in combining form over triangular meshes is presented. Three four degree algebraic surfaces are constructed which meet with two surfaces constructed on edges GCl continuity, and meet with the third GCl continuity. A linear combination of these four degree algebraic surfaces and the section plane is done. A five degree algebraic surface in combining form is gotten over triangular meshes. The method has the features of quadratic precision, local shape control, efficient calculation, and greater flexibility.

关 键 词：代数曲面 三角网格 曲面重构 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]