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Application of degree reduction of polynomial Bézier curves to rational case (2008)

Abstract
• Polynomial Bézier curve of degree n b n (t) = n� k=0 bkB n k (t) , 0 ≤ t ≤ 1, where B n k (t) are Bernstein polynomials of degree n, and b k(k = 0, · · · , n) are control points of b n (t). • Degree reduction of polynomial Bézier curves is overdetermined problem and it invokes approximation problem. 2 • Many efforts and proposals for dealing with problems for polynomial cases have been made in the last two decades. 1. M. A. Lachance, Chebyshev economization for parametric

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=?doi=10.1.1.100.69
Source http://kowon.dongseo.ac.kr/~lbg/cagd/kmmcs/200601/1106_park.pdf
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Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English
Relation 10.1.1.3.5799, 10.1.1.9.3606