ScholarLens Back to search
2011•Journal of Hunan University of Science & TechnologyRequires access

Shape analysis of cubic DP curve

Fulai Chen

Open publisher page 0 citations

Abstract

The shape features were analyzed,that of the cubic DP curve,based on the theory of envelop and topological mapping.Necessary and sufficient conditions were derived for this curve with one or two inflection points,a loop or a cusp,and be locally or globally convex.Those conditions were completely determined by the vertexes the control polygon.At last,the shape diagrams were given,that of cubic Bezier curve and Ball curve.

About this research paper

What this paper is about

The shape features were analyzed,that of the cubic DP curve,based on the theory of envelop and topological mapping.Necessary and sufficient conditions were derived for this curve with one or two inflection points,a loop or a cusp,and be locally or globally convex.Those conditions were completely determined by the vertexes the control polygon.At last,the shape diagrams were given,that of cubic Bezier curve and Ball curve.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The shape features were analyzed,that of the cubic DP curve,based on the theory of envelop and topological mapping.Necessary and sufficient conditions were derived for this curve with one or two inflection points,a loop or a cusp,and be locally or globally convex.Those conditions were completely determined by the vertexes the control polygon.At last,the shape diagrams were given,that of cubic Bezier curve and Ball curve.

Key concepts: Inflection point, Mathematics, Polygon (computer graphics), Regular polygon, Bézier curve, Cubic function, Ball (mathematics), Cubic form

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Shape analysis of cubic DP curve — Research Paper | ScholarLens