Generation of Surfaces with Smooth Highlight Lines
Abstract
This paper proposes a method which generates smooth surfaces from four boundary curves. A criterion is introduced to represent smoothness of highlight lines which are an approximation of reflection lines and are sensitive to the surface irregularity. The criterion is the square of projected curvature of highlight lines per unit length. To obtain the surfaces which satisfy the criterion, the evolutes of their parametric lines which influence highlight lines are determined to change smoothly. The evolutes are represented with two segments of second-degree rational Bezier curves, whose parameters are determined to minimize the criterion. The method is extended to determine a surface when a highlight line is given by a designer. Some examples of boundary curves with various patterns of curvature variation are shown to generate smooth surfaces.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP012024
Entities
People
- Hiroto Harada
- Masatake Higashi
- Mitsuru Kuroda
Organizations
- Toyota Technological Institute