首页|Construction of Bézier-like Curves with Energy Constraints
Construction of Bézier-like Curves with Energy Constraints
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In this paper,we present a class of novel Bernstein-like basis functions,which is an extension of classical Bernstein basis functions.The properties of this group of bases are analyzed and the Bézier-like curve with two shape parameters h1,h2 is defined.The basis functions and Bézier-like curves have properties similar to cubic Bernstein basis functions and cubic Bézier curves,respectively.Furthermore,we construct Bézier-like curves with energy constraints and consider the C1 and G1 Hermite interpolation with minimal energy.Finally,some representative examples show the applicability and effectiveness of the proposed method.
Bézier-like curveHermite interpolationInternal energy
Yongxia HAO、Hongyang LUO
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School of Mathematical Sciences,Jiangsu University,Jiangsu 212000,P.R.China
National Natural Science Foundation of ChinaUniversity Science Research Project of Jiangsu Province
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