Construction of Cubic DP Surface Based on Biharmonic Partial Differentiation Equation

摘要

This paper proposes a method for generating DP surface from prescribed boundaries based on partial differential operator. The focus is on the use of biharmonic partial differentiation equation to construct a bicubic DP surface. Result shows that using biharmonic DP surface enables the overall surface to be generated and controlled based on the boundary curves rather than a set of control points. Graphical examples are used to illustrate the proposed method.