Matrix representation for multi-degree reduction of Bézier curves

In this paper, we consider multi-degree reduction of Bézier curves with constraints of endpoints continuity with respect to L2 norm. The control points of the degree reduced Bézier curve can be obtained as a product of the degree reduction matrix and the vector of original control points. We find an explicit form of the multi-degree reduction matrix for Bézier curve with constraints of endpoints continuity.