Construction and Manipulation of Variable Radius Offset Curves

• Main Authors: Guo ,Bor Horng, 郭柏宏
• Other Authors: Jong, Bin Shyan
• Format: Others
• Language: zh-TW
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/19109110768933394953

碩士 === 中原大學 === 資訊工程研究所 === 83 === Offsetting is a geometric operation which expands outline of a given object, it is one important method for applications of computer graphics, computer aided design (CAD), and image processing. In this paper, we firstly describe mathematic and differential properties of variable radius offset curve,and we also state the difficulty of constructing offset radius function for the design of variable radius offset curves in computer graphic applications. In order to design variable offset curve effectively and friendly, we present one method to slove the problem, via moving the control points of cubic Bzier curve to generate the radius offset funtion. The algorithm will be discussed for further analysis. Furthermore, we provide a method to directly manipulate the interior points of variable radius offset curves. By point to point,we can manipulate shape of variable radius offset curves freely. The advantages of conventional interpolation mathods are also kept in the method.