Polynomial approximation of images
β Scribed by I. Sadeh
- Book ID
- 103931729
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 955 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
forming the coefficients. The third approach is to iteratively This paper presents a progressive image transmission scheme encode the residue or difference image, either in the spatial in which polynomial approximation coding is effectively apdomain or in the transform domain [9][10][11][12][13]. At
Let R be a real closed ΓΏeld and n ΒΏ 2. We prove that: (1) for every ΓΏnite subset F of R n , the semialgebraic set R n \ F is a polynomial image of R n ; and (2) for any independent linear forms l1; : : : ; lr of R n , the semialgebraic set {l1 ΒΏ 0; : : : ; lr ΒΏ 0} β R n is a polynomial image of R n
Let f ACΒ½Γ1; 1 change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials, and by piecewise polynomials, which are coconvex with it, namely, polynomials and piecewise polynomials that change their convexity exactly at th