C-curves And Shape Modifications

Both C-Bézier curve and C-B spline curves collectively referred to as C-curves.They enhance the ability to control the curve by use of parameterα,and these curves have more flexible regulatory. Since C-curves can represent several important curves, such as the free form curves, the conic curves and the transcendental curve, they have a wide range of applications in Geometric Modeling, which have become a hot spot of CAGD. In this dissertation, we mainly show the development of CAGD and C-curves, introduce the definition and poperties of C curves of degreen , and we also introduce the geometric significance of parameters, and summarize some shape modification method of C-curves. By use of the technology of linear singular blending, a new method to construct a new curve is presented, which not only inherites all the advantages of C-B spline curves, but also can adjust the degree of lineary of curve in each of the control vertices.It is a more convenient design tool which can enhance the shape-control capability of the C-B spline and has simple algorithm.