Mathematical technique for controlling the gaps in the cubic bezier curves for two dimensional

Abstract EN

Designs are generated in the Bezier curves at most contains gaps in form that is drawn up in curve.

This state is causing misshaping final form that depended on curves generating.

In this research applies of suggested method is making Bezier curve generating don't contains upon gaps and can controlled to eliminate gaps by using added parameters to control it.

The research applies modified equations by using different shapes in different cases and brought shapes (curves) don't contain the gaps and smoothing curves'.