摘要
从待拟合曲面的曲率变化大小出发 ,有针对性地提出新的三角域 Bezier曲面拟合算法和曲面曲率变化小的曲面拟合方法 ,进一步推导了曲面曲率变化大的曲面拟合方法 ;另外还研究了三角域 Bezier曲面对矩形域 Bezier曲面的逼近算法 ,给出了三角 Bezier曲面片表示矩形 Bezier曲面片的显式公式 ,通过图示形象化描绘了特征顶点递推过程 ,并指出了特征顶点递推公式。该算法在彩色
In CAD analysis of geometric shapes, triangular Bezier surfaces are more difficult to use than rectangular Bezier patches. This paper introduces two algorithms for triangular Bezier surfaces. The first algorithm describes two methods including the small curvature surface fitting method and the large curvature surface fitting method. The second algorithm proposes a method to explicitly transform a rectangular Bezier patch mesh into an equivalent triangular Bezier patch. A recursion equation can be used to increase the triangular Bezier patch mesh density. Triangular Bezier surface algorithms are useful for engineers engaged in reverse engineering and have been validated in colour CRT correcting lens design.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2001年第7期83-86,共4页
Journal of Tsinghua University(Science and Technology)
