Using a bi-cubic Coons surface, a method for G1-continuous interpolation of an arbitrary sequence of points on an implicitly or parametrically defined surface with a specified tangent direction at every point was pres...Using a bi-cubic Coons surface, a method for G1-continuous interpolation of an arbitrary sequence of points on an implicitly or parametrically defined surface with a specified tangent direction at every point was presented. Firstly construct a G1-continuous composite Coons surface patch, and then compute the intersection of the surface patch and the given surface. The desired interpolation curve is the intersection curve. Unlike some existing methods, several free parameters were introduced into the method that can be used in subsequent interactive modification so that the last curve's shape meets the demand. Experiments demonstrate the method is simple, feasible and applicable to computer aided design and computer graphics, etc.展开更多
文摘Using a bi-cubic Coons surface, a method for G1-continuous interpolation of an arbitrary sequence of points on an implicitly or parametrically defined surface with a specified tangent direction at every point was presented. Firstly construct a G1-continuous composite Coons surface patch, and then compute the intersection of the surface patch and the given surface. The desired interpolation curve is the intersection curve. Unlike some existing methods, several free parameters were introduced into the method that can be used in subsequent interactive modification so that the last curve's shape meets the demand. Experiments demonstrate the method is simple, feasible and applicable to computer aided design and computer graphics, etc.
