Polynomial degree reduction in the L2-norm on a symmetric interval for the canonical basis

Results in Applied Mathematics ◽

10.1016/j.rinam.2021.100185 ◽

2021 ◽

Vol 12 ◽

pp. 100185

Author(s):

Habib Ben Abdallah ◽

Christopher J. Henry ◽

Sheela Ramanna

Keyword(s):

Canonical Basis ◽

Degree Reduction ◽

Polynomial Degree ◽

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Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients

Computer Aided Geometric Design ◽

10.1016/j.cagd.2003.10.001 ◽

2004 ◽

Vol 21 (2) ◽

pp. 181-191 ◽

Author(s):

Young Joon Ahn ◽

Byung-Gook Lee ◽

Yunbeom Park ◽

Jaechil Yoo

Keyword(s):

Degree Reduction ◽

Polynomial Degree ◽

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Perturbing Béziercoefficients for best constrained degree reduction in the L2-norm

Graphical Models ◽

10.1016/j.gmod.2003.07.001 ◽

2003 ◽

Vol 65 (6) ◽

pp. 351-368 ◽

Author(s):

Jianmin Zheng ◽

Guozhao Wang

Keyword(s):

Degree Reduction ◽

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Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights

Journal of Approximation Theory ◽

10.1016/j.jat.2016.02.018 ◽

2016 ◽

Vol 207 ◽

pp. 165-176 ◽

Author(s):

Rachid Ait-Haddou

Keyword(s):

Degree Reduction ◽

Polynomial Degree

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Degree Reduction of Classic Disk Rational Bézier Curves in L2 Norm

2015 14th International Conference on Computer-Aided Design and Computer Graphics (CAD/Graphics) ◽

10.1109/cadgraphics.2015.36 ◽

2015 ◽

Author(s):

Mao Shi

Keyword(s):

Degree Reduction ◽

Bezier Curves ◽

Bézier Curves ◽

Rational Bézier Curves ◽

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Polynomial degree reduction in the discrete $$L_2$$ L 2 -norm equals best Euclidean approximation of h-Bézier coefficients

BIT Numerical Mathematics ◽

10.1007/s10543-015-0558-9 ◽

2015 ◽

Vol 56 (1) ◽

pp. 1-14 ◽

Author(s):

Rachid Ait-Haddou

Keyword(s):

Degree Reduction ◽

Polynomial Degree

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Least Squares Approximation of Bézier Coefficients Provides Best Degree Reduction in the L2-Norm

Journal of Approximation Theory ◽

10.1006/jath.1999.3440 ◽

2000 ◽

Vol 104 (1) ◽

pp. 90-97 ◽

Author(s):

J. Peters ◽

U. Reif

Keyword(s):

Least Squares ◽

Least Squares Approximation ◽

Degree Reduction ◽

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Polynomial degree reduction in the -norm equals best Euclidean approximation of Bézier coefficients

Computer Aided Geometric Design ◽

10.1016/s0167-8396(99)00025-4 ◽

1999 ◽

Vol 16 (7) ◽

pp. 607-612 ◽

Author(s):

D. Lutterkort ◽

J. Peters ◽

U. Reif

Keyword(s):

Degree Reduction ◽

Polynomial Degree

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Low-power partial-parallel Chien search architecture with polynomial degree reduction

2016 IEEE International Symposium on Circuits and Systems (ISCAS) ◽

10.1109/iscas.2016.7539090 ◽

2016 ◽

Author(s):

Xinmiao Zhang ◽

Itai Dror ◽

Sanel Alterman

Keyword(s):

Low Power ◽

Degree Reduction ◽

Polynomial Degree

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Circuit-Size Reduction for Parallel Chien Search using Minimal Polynomial Degree Reduction

2019 IEEE International Symposium on Circuits and Systems (ISCAS) ◽

10.1109/iscas.2019.8702075 ◽

2019 ◽

Author(s):

Naoaki Kokubun ◽

Akira Yamaga ◽

Hironori Uchikawa ◽

Daiki Watanabe

Keyword(s):

Minimal Polynomial ◽

Size Reduction ◽

Degree Reduction ◽

Polynomial Degree

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Best polynomial degree reduction on q-lattices with applications to q-orthogonal polynomials

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.068 ◽

2015 ◽

Vol 266 ◽

pp. 267-276 ◽

Author(s):

Rachid Ait-Haddou ◽

Ron Goldman

Keyword(s):

Orthogonal Polynomials ◽

Degree Reduction ◽

Polynomial Degree

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