Smooth connection between cubic Bézier curves and quadratic B-spline curves
HE Zhen-xue
Abstract
HE Zhen-xue
Abstract
Using Bezier constructive method of B-spline curves,the connection problem between cubic Bezier curves and quadratic B-spline curves is changed into the connection problem between cubic Bezier curves and quadratic Bezier curves.The G0,G1 and G2 continuity conditions between the cubic Bezier curves and quadratic B-spline curves are discussed in the paper.
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Using Bezier constructive method of B-spline curves,the connection problem between cubic Bezier curves and quadratic B-spline curves is changed into the connection problem between cubic Bezier curves and quadratic Bezier curves.The G0,G1 and G2 continuity conditions between the cubic Bezier curves and quadratic B-spline curves are discussed in the paper.
Key concepts: Bézier curve, Quadratic equation, Mathematics, Connection (principal bundle), B-spline, Family of curves, Mathematical analysis, Pure mathematics