|
Abstract: Based on the analysis of the extension methods for
quadrilateral surface, the extension methods for compound triangular
surfaces are proposed by the ways of calculating the extension
direction, steps and points. The triangular mesh of extension surface is
appended with the extension points and border points. By analyzing the
relation of adjacent triangular mesh, a process is given to avoid twist
or overlapping of extension surfaces. The triangular shape factor is
applied to distinguish the strait triangles from the mesh. The extension
mesh can be optimized by inserting or incorporating the extension
points. The extension surface may be further created by constructing a
global compound triangular surface interpolating with the original and
extended mesh. The method is applied in a sample and the result shows
that the extension procedure is effective and robust.
Key words: Triangular surface Extension Twist Overlapping
CLC No: TP391
教育部高等学校骨干教师资助计划、浙江省自然科学基金(600058)和浙江省教育厅科研计划(20000070)资助项目. Received 20020104,
received in revised form 20020516
|