A Method For Degree Reduction Of Bézier Curve Based On Partitioned Matrix Derivation

The approximation of degree reduction to Bezier curve has its practical application value but limited by constrained condition of endpoints.The essay first introduces Bezier curve with definition and properties, also including the definition and purpose of degree reduction of Bezier curve. After thoroughly analysis and experimental compare of three famous methods in degree reduction approximation, it comes up a new method for degree reduction approximation based on partitioned matrix derivation. This new method can produce explicit formulation with multi-degree reduction and satisfies constrained condition of endpoints. Finally combined mid-point segmentation with partitioned matrix’s derivation and put them into numerical experiment show the advantages of this algorithm.