The Automatic Generation of Variable-Radius Blending

• Main Authors: Wei-Chung Hwang, 黃維中
• Other Authors: Jung-Hong Chuang
• Format: Others
• Language: en_US
• Published: 1993
• Online Access: http://ndltd.ncl.edu.tw/handle/72473790524609543009

碩士 === 國立交通大學 === 資訊工程研究所 === 81 === A blending surface in geometric and solid modeling is the surface that smoothly connect two or more surfaces along some arbitrary curves, called linkage curves or contact curves. The surfaces to be blended are called the base surfaces. The spherical blending is defined by moving a sphere or circular arc along a spine curve. When the radius of the sphere is constant, the blending is called constant-radius blending. In the other hand, if the radius is variable, the blending is called variable-radius blending, and the function by which the radius variates is called the radius function. In some cases, the radius function is hard to define. In the thesis, we discuss some new methods that generate the radius function automatically by adding some criteria to control the shape of the blending surface. We implement them for both algebraic and parametric surfaces. For algebraic surfaces we use the higher- dimensional approach and for parametric surfaces we use a marching method to generate the spine curve and linkage curves. We also propose a method that constructs the blending surface based on generated spine curve and linkage curves, and represent the resulting surface as NURBS surface patches.