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Shape analysis of generalized cubic DP curve

Zhu Xiu-yun

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Abstract

In this paper,the shape features of generalized cubic DP curves are analyzed by using the method that based on the theory of envelope and topological mapping.The fist,the curve's flexible is discussion in space;the next,Necessary and sufficient conditions are discussed for generalized cubic DP curves of singular points,inflection point,local and globally convexity,and obtained shape diagram of the distribution regions.The influences of shape parameters on the shape diagram are analysis.

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What this paper is about

In this paper,the shape features of generalized cubic DP curves are analyzed by using the method that based on the theory of envelope and topological mapping.The fist,the curve's flexible is discussion in space;the next,Necessary and sufficient conditions are discussed for generalized cubic DP curves of singular points,inflection point,local and globally convexity,and obtained shape diagram of the distribution regions.The influences of shape parameters on the shape diagram are analysis.

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Available abstract

In this paper,the shape features of generalized cubic DP curves are analyzed by using the method that based on the theory of envelope and topological mapping.The fist,the curve's flexible is discussion in space;the next,Necessary and sufficient conditions are discussed for generalized cubic DP curves of singular points,inflection point,local and globally convexity,and obtained shape diagram of the distribution regions.The influences of shape parameters on the shape diagram are analysis.

Key concepts: Inflection point, Fist, Diagram, Shape analysis (program analysis), Convexity, Envelope (radar), Point distribution model, Mathematics

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