Interpretation of clay modeling using differential geometry and its application to surface reconstruction

This paper presents a novel surface reconstruction method based on scanned data from a car clay model. The method simulates the sweeping motion of a curve ruler during clay modeling through computational techniques. Building on the principle that clay modeling involves the sweeping of curve rulers, the proposed method interprets the operation of these rulers from a differential geometry perspective. Furthermore, by integrating reverse engineering techniques for generating CAD models from scanned data, the method reconstructs high-quality surfaces. The effectiveness of the proposed method is validated through a comparison with surfaces created by industrial CAD experts.