A biarc based subdivision scheme for space curve interpolation

Chongyang Deng; Weiyin Ma

doi:10.1016/j.cagd.2014.07.003

A biarc based subdivision scheme for space curve interpolation

Computer Aided Geometric Design ◽

10.1016/j.cagd.2014.07.003 ◽

2014 ◽

Vol 31 (9) ◽

pp. 656-673 ◽

Cited By ~ 2

Author(s):

Chongyang Deng ◽

Weiyin Ma

Keyword(s):

Space Curve ◽

Subdivision Scheme ◽

Curve Interpolation

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Function and Space Curve Interpolation

Interpolating Cubic Splines ◽

10.1007/978-1-4612-1320-8_4 ◽

2000 ◽

pp. 59-61

Author(s):

Gary D. Knott

Keyword(s):

Space Curve ◽

Curve Interpolation

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An Improved Four Point Interpolatory Subdivision Scheme

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.380-384.1555 ◽

2013 ◽

Vol 380-384 ◽

pp. 1555-1557

Author(s):

Xin Fen Zhang ◽

Yu Zhen Liu

Keyword(s):

Chord Length ◽

Subdivision Scheme ◽

Shape Preserving ◽

Curve Interpolation ◽

Interpolatory Polynomial ◽

Interpolatory Subdivision

In this paper we propose a new kind of geometry driven subdivision scheme for curve interpolation. We use cubic Lagrange interpolatory polynomial to construct a new point, selecting parameters by accumulated chord length method. The new scheme is shape preserving. It can overcome the shortcoming of the initial four point subdivision scheme proposed.

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A Generalized Four Point Interpolatory Subdivision Scheme for Curve Design

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.586.378 ◽

2012 ◽

Vol 586 ◽

pp. 378-383

Author(s):

Xin Fen Zhang

Keyword(s):

Subdivision Scheme ◽

Curve Design ◽

Curve Interpolation ◽

Interpolatory Subdivision

ßIn this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. We introduce serval parameters in the new scheme.When the parameter ß is taken as 0, the new scheme presented in this paper regresses to the initial four point subdivision scheme, and when ß→∞ , the new scheme is convexity preserving. With proper choices of the subdßivision parameters,it can overcome the shortcoming of the initial four point subdivision scheme proposed.

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