CONTINUOUS-RESOLUTION-LEVEL CONSTRAINTS IN VARIATIONAL DESIGN OF MULTIRESOLUTION SHAPES

This paper introduces continuous-resolution-level constraints to hiera rchical editing of curves and surfaces based on B-spline wavelets. The constraints specify the shape at a continuous-resolution level by int erpolating those at integer-resolution levels. Energy functions subjec t to the shape deformations are used to control the smoothness of the curves and surfaces. This paper proposes two interpolation schemes for the continuous-level shapes: linear interpolation and cardinal-spline interpolation. The continuous-level shape is obtained as a transforma tion of that at an integer-resolution level, and the continuous-level constraints are reduced to those at integer-resolution levels. Experim ental results are presented to show that the continuous-level constrai nts effectively control the multiresolution curves and surfaces.