Application of degree reduction of polynomial Bézier curves to rational case (2008)
Yunbeom Park, M. Watkins, A. Worsey, D. Lutterkort, J. Peters, U. Reif, ...
• 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...
Degree Elevation of B-spline Curves and Its Matrix Form (2007)
An algorithmic approach to degree elevation of B--spline curves is presented. The new algorithms are based on the blossoming process and its matrix representation. The elevation method is introduced...
The Degree Elevation and L_2 Distance for the Rational Bézier Curves (2007)
Byung-Gook Lee, Kwan-Pyo Ko, Yunbeom Park
An algorithmic approachtodegreeelevation of rational B'ezier curves is presented.
4. Constrained Degree Reduction 3. Equivalence of Orthogonal Complements (2003)
Jaechil Yoo, Dongeui Univ, Yunbeom Park, Seowon Univ, Young Joon Ahn, Chosun Univ
Approximate Conversion of Rational Bézier Curves (1998)
It is frequently importanttoapproximate a rational B'ezier curvebyanintegral, i.e., polynomial one. This need will arise when a rational B'ezier curve is produced in one CAD system...
Distance for Bézier curves and degree reduction (1997)
Abstract. An algorithmic approach to degree reduction of Bezier curves is presented. The algorithm is based on the matrix representations of the degree elevation and degree reduction processes. The...