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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.9 No.2
- 발행연도
- 2005.12
- 수록면
- 99 - 106 (8page)
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초록· 키워드
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We present a relation between the orthogonality of the constrained Legendre polynomials over the triangular domain and the BB (Bezier-Bernstein) coefficients of the polynomials using the equivalence of orthogonal complements. Using it we also show that the best constrained degree reduction of polynomials in BB form equals the best approximation of weighted Euclidean norm of coefficients of given polynomial in BB form from the coefficients of polynomials of lower degree in BB form.
목차
ABSTRACT
1. INTRODUCTION
2. CONSTRAINED LEGENDRE POLYNOMIALS OVER TRIANGULAR DOMAIN
3. EQUIVALENCE OF ORTHOGONAL COMPLEMNTS
4. PROPERTIES OF CONSTRAINED LEGENDRE POLYNOMIALS IN BB FORM
ACKNOWLEDGEMENTS
References
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UCI(KEPA) : I410-ECN-0101-2009-410-014810007