Fine-tuning in vectorization using algebraic curves

Abstract

Vectorization using algebraic curve has shown its potential in applications such as 2D computer assisted animation [Zhang S, Li L, Seah HS. Vectorization using algebraic curve. Computers and Graphics, 1998;22(1); Zhang S, Li L, Seah HS. Recursive curve fitting and rendering using algebraic curves. The Visual Computer: International Journal of Computer Graphics 1998;14(2)69–82; Bajaj C, Xu G. Data fitting with cubic a-splines. In: Kunii T, Gigante M, editors. Proceedings of the Computer: International, CGI'94, editor. Singapore: Melbourne, Australia World Scientific, 1996;338–46.] To support the algorithms proposed in articles [Zhang S, Li L, Seah HS. Vectorization using algebraic curve. Computers and Graphics: 1998;22(1); Zhang S, Li L, Seah HS. Recursive curve fitting and rendering using algebraic curves. The Visual Computer: International Journal of Computer Graphics 1998;14(2)69–82.], a further investigation and study on the fine-tuning subject, especially the mutual influence of adjusting different weights to the curve shape is carried out. This study shows that under certain circumstances, such as tuning only a few selected weights and in certain order, the influence to the curve shape between subsequent tunings can be reduced to minimal. Thus the subsequent fine-tuning of weights can be carried out without significantly affecting the effect of previous tunings so to guarantee a close fit of the algebraic curve to the original digital one.