Atsushi Kikuchi

Generating freeform surfaces from engineering drawings: Methods for representation and inner shape control.

A method to connect a surface patch to adjacent patches at the four boundaries with the condition of positional and gradient continuity has been developed. This method makes it possible to connect surface patches symmetrically, even if the boundaries of the surface patches are symmetrical along the common boundary. A new surface expression which makes it possible to control the inner shape of a patch, keeping positional and gradient continuity of all local surface patches has been developed. Also, a new method which interpolates the inside of a surface patch when the four boundaries of a surface patch are defined has been developed. Both a normal vector and contour line display of a six-sided patch connection, and a highlighted line display of a spherical surface are shown.