首页|Construction Method of Shape Adjustable Bézier Triangles

Construction Method of Shape Adjustable Bézier Triangles

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Aiming at the drawback that the shape of Bézier triangles is fixed with respect to the control points, some blending functions with parameter and with similar properties to the bivariate Bernstein polynomials are presented. Few literatures introduce how do the blending functions are derived. This paper aims at providing the general construction method of adjustable Bézier triangles in polynomial space. With the help of degree elevation technique and based on the idea that the adjustable surfaces are defined by the adjustable control points, the shape adjustable Bézier triangles are defined. The construction process of the blending functions is demonstrated in detail.

Bézier triangleShape adjustmentShape parameterConstruction method

YAN Lanlan

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School of Science, East China University of Technology, Nanchang 330013, China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Jiangxi Province,ChinaScience and Technology Project of Jiangxi Provincial Education Department,China

112610031176100820161BAB211028GJJ160558

2019

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN:1022-4653
年,卷(期):2019.28(3)
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