Aesthetic B-spline Curves and Surfaces (2nd Report)

Generation of Space Curves and Surfaces

Abstract

We propose formulation and application of aesthetic B-spline curves and surfaces as a new paradigm of representation of styling design. In 1st report, we have introduced formulation of aesthetic curves by minimizing the deviation of the curvature graph from a line for the n-th power of the curvature radius, and applied it to generate planer curves from boundary conditions and to fit input data. In this report, we derive formulation for space curves and surfaces, and show their experimental results.