Abstract—In this paper, we consider multi-degree reduction of Bézier curves with constraints of endpoints continuity with constraints of endpoints continuity with respect to L_2 norm, using matrix computations. We find an explicit form of the multi-degree reduction matrix for Bézier curve with constraints of endpoints continuity.

Index Terms—Bézier curves, Degree reduction, Degree elevation, Endpoints continuity.

Davood Bakhshesh is with the Department of Computer Science, University of Bojnord, Bojnord, Iran (e-mail: dbakhshesh@gmail.com).
Mohammad Reza Samiee is with Department of Computer Engineering, Payame Noor University (PNU), Khorasan Shomali, Iran (e-mail:samiee.reza@gmail.com).

Cite: Davood Bakhshesh and Mohammad Reza Samiee, "Optimal Multi-Degree Reduction of Bézier Curves with Constraints, Using Matrix Computations," International Journal of Computer and Electrical Engineering vol. 4, no. 5, pp. 693-696, 2012.