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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.30 No.4
- 발행연도
- 2020.1
- 수록면
- 471 - 478 (8page)
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This paper considers Chebyshev weighted G3-multi-degree reduction of B´ezier curves. Exact degree reduction is not possible, based on this fact, approximative process to reduce a given B´ezier curve of higher degree n to a B´ezier curve of lower degree m, m<n is required. The weight function w[t]=2t(1 − t), t ∈ [0, 1] is used with the L2 -norm in multi degree reduction with G3- continuity at the end points of the curve. Explicit results and comparisons are verified by examples. The numerical result obtained from the new method yields minimum approximation error, improves the approximation in the middle of the curve, and shows up helpful applications to many scientists and engineers on how to design and reconstruct complex systems.
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참고문헌 (15)
참고문헌 신청
Ahn Y / 2004 / Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approx. of Bezier coefficients / Comput. Aided Geom. Design 21:181~191
Ait-Haddou R. / 2016 / Polynomial degree reduction in the discrete L2-norm equals best Euclidean approximation of h-Bezier coefficients / BIT Numer Math
Arun Vijayaragavan / 2014 / Cubic Bezier Curve Approach for Automated O ine Signature Verification with Intrusion Identification / Mathematical Problems in Engineering 2014:1~8
Hollig K / 2013 / Approximation and Modeling with B-Splines / Titles in Appl. Maths 132
Hong-Seng Gan / 2014 / Medical Image Visual Appearance Improvement Using Bihistogram Bezier Curve Contrast Enhancement, Data from the Osteoarthritis Initiative / The Scientific World Journal
Ait-Haddou R. / 2016 / Polynomial degree reduction in the discrete L2-norm equals best Euclidean approximation of h-Bezier coefficients / BIT Numer Math
Arun Vijayaragavan / 2014 / Cubic Bezier Curve Approach for Automated O ine Signature Verification with Intrusion Identification / Mathematical Problems in Engineering 2014:1~8
Hollig K / 2013 / Approximation and Modeling with B-Splines / Titles in Appl. Maths 132
Hong-Seng Gan / 2014 / Medical Image Visual Appearance Improvement Using Bihistogram Bezier Curve Contrast Enhancement, Data from the Osteoarthritis Initiative / The Scientific World Journal
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