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2007•Journal of Gansu Lianhe UniversityRequires access

Smooth Connection between Cubic Bezier Curves and Cubic B-spline Curves

Geng Zi-xing

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Abstract

Using the property that cubic B-spline curve can change into Cubic Bezier Curve,the problem of connection between cubic Bezier curves and cubic B-spline Curves is changed into another problem,connection between cubic Bezier curves,three theorems about,and continuity of connection between cubic Bezier curves and cubic B-spline Curves are given respectively in this paper.

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What this paper is about

Using the property that cubic B-spline curve can change into Cubic Bezier Curve,the problem of connection between cubic Bezier curves and cubic B-spline Curves is changed into another problem,connection between cubic Bezier curves,three theorems about,and continuity of connection between cubic Bezier curves and cubic B-spline Curves are given respectively in this paper.

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Available abstract

Using the property that cubic B-spline curve can change into Cubic Bezier Curve,the problem of connection between cubic Bezier curves and cubic B-spline Curves is changed into another problem,connection between cubic Bezier curves,three theorems about,and continuity of connection between cubic Bezier curves and cubic B-spline Curves are given respectively in this paper.

Key concepts: Cubic form, Bézier curve, Connection (principal bundle), Mathematics, Monotone cubic interpolation, Cubic crystal system, Cubic function, Mathematical analysis

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