Bezier Clipping and its Application to Computer Aided Geometry Design

Abstract

P(論文)Recently, computer aided geometry design for industrial products has become popular. Geometry design including free form surface is very significant in CAD/CAM system. In geometry designs there are some problems that need to be solved such as curve-curve intersection, surface-surf ace intersection, and curve-surf ace intersection. A display method of desired shapes is also very important. To display curved surfaces we have to solve a hidden line problem and a hidden surface problem. Shading models including shadowing, reflection, and refraction are required to get photo-realistic images of designed shapes. This paper proposes Bezier clipping method which can solve all of the problems mentioned above. Bezier clipping is a robust iterative method which can solve functions expressed by polynomials of a high degree. This paper describes the basic idea of Bezier clipping and its application to computer aided geometry design and computer graphics.departmental bulletin pape