Multi-degree reduction of NURBS curves based on their explicit matrix representation and polynomial approximation theory

Min CHENG

doi:10.1360/02yf0229

Multi-degree reduction of NURBS curves based on their explicit matrix representation and polynomial approximation theory

Science in China Series F Information Sciences ◽

10.1360/02yf0229 ◽

2004 ◽

Vol 47 (1) ◽

pp. 44 ◽

Cited By ~ 3

Author(s):

Min CHENG

Keyword(s):

Polynomial Approximation ◽

Approximation Theory ◽

Matrix Representation ◽

Degree Reduction ◽

Nurbs Curves

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Matrix Representation for Optimal Multi-degree Reduction of Bézier Curves with G1 Constraints

Journal of Computer-Aided Design & Computer Graphics ◽

10.3724/sp.j.1089.2010.10628 ◽

2010 ◽

Vol 22 (4) ◽

pp. 735-740 ◽

Cited By ~ 3

Author(s):

Lian Zhou ◽

Guojin Wang

Keyword(s):

Matrix Representation ◽

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves

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Explicit matrix representation for NURBS curves and surfaces

Computer Aided Geometric Design ◽

10.1016/s0167-8396(02)00124-3 ◽

2002 ◽

Vol 19 (6) ◽

pp. 409-419 ◽

Cited By ~ 6

Author(s):

Ligang Liu ◽

Guojin Wang

Keyword(s):

Matrix Representation ◽

Curves And Surfaces ◽

Nurbs Curves

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General matrix representation for NURBS curves and surfaces for interfaces

Freeform Tools in CAD Systems ◽

10.1007/978-3-322-86773-5_13 ◽

1991 ◽

pp. 219-231

Author(s):

Hans Grabowski ◽

Xiaohe Li

Keyword(s):

Matrix Representation ◽

General Matrix ◽

Curves And Surfaces ◽

Nurbs Curves

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Polynomial Approximation Theory

Spectral Methods - Scientific Computation ◽

10.1007/978-3-540-30726-6_5 ◽

2007 ◽

pp. 267-326

Keyword(s):

Polynomial Approximation ◽

Approximation Theory

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Polynomial Approximation Theory in Sobolev Spaces

Texts in Applied Mathematics - The Mathematical Theory of Finite Element Methods ◽

10.1007/978-1-4757-3658-8_5 ◽

2002 ◽

pp. 93-127

Author(s):

Susanne C. Brenner ◽

L. Ridgway Scott

Keyword(s):

Polynomial Approximation ◽

Approximation Theory ◽

Sobolev Spaces

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Matrix representation for multi-degree reduction of Bézier curves

Computer Aided Geometric Design ◽

10.1016/j.cagd.2004.12.002 ◽

2005 ◽

Vol 22 (3) ◽

pp. 261-273 ◽

Cited By ~ 25

Author(s):

Hasik Sunwoo

Keyword(s):

Matrix Representation ◽

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves

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On an approximation measure founded on the links between optimization and polynomial approximation theory

Theoretical Computer Science ◽

10.1016/0304-3975(95)00060-7 ◽

1996 ◽

Vol 158 (1-2) ◽

pp. 117-141 ◽

Cited By ~ 54

Author(s):

Marc Demange ◽

Vangelis Th. Paschos

Keyword(s):

Polynomial Approximation ◽

Approximation Theory

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Polynomial Approximation Theory in Sobolev Spaces

Texts in Applied Mathematics - The Mathematical Theory of Finite Element Methods ◽

10.1007/978-0-387-75934-0_5 ◽

2008 ◽

pp. 93-127

Keyword(s):

Polynomial Approximation ◽

Approximation Theory ◽

Sobolev Spaces

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Some Highlights of Polynomial Approximation Theory

Practical Extrapolation Methods ◽

10.1017/cbo9780511546815.033 ◽

2003 ◽

pp. 480-482

Keyword(s):

Polynomial Approximation ◽

Approximation Theory

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A unified matrix representation for degree reduction of Bézier curves

Computer Aided Geometric Design ◽

10.1016/j.cagd.2003.07.007 ◽

2004 ◽

Vol 21 (2) ◽

pp. 151-164 ◽

Cited By ~ 12

Author(s):

Hasik Sunwoo ◽

Namyong Lee

Keyword(s):

Matrix Representation ◽

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves

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