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
