Analysis of Elimination Algorithm Based on Curve Self-intersection

In this paper, the algebraic elimination algorithm is used to investigate the self-intersection problem of a class of irregular curves. This paper analyzes the curve equation of self-intersection expression \(C(u) - C(v) = 0\) and structure curve expression in the form of binary Bezier function. By eliminating the common parameter terms, not only is the order of the expression reduced formally, but the self-intersection region is also determined, so as to realize the purpose of self-intersection.