High-quality quadratic curve fitting for scanned data of styling design. (February 2016)

• Record Type: Journal Article
• Authors: Tsuchie, Shoichi; Okamoto, Kunio
• Is Part Of: Computer aided design. Volume 71(2016)
• Page Start: 39
• Page End: 50
• Publication Date: 2016-02
• Subjects: Quadratic B-spline curve -- Non-uniform knot vector -- G2 continuity; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2015.09.004
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: We propose a new method for fitting a high-quality planar curve to styling design data by using a curvature continuous ( G 2 ) quadratic B-spline curve. In order to attain G 2 continuity of the B-spline curve, we use a non-uniform knot vector, which also enables the curve to be composed of fewer segments as compared to a uniform curve. In our method, control points and the knot vector of the B-spline curve are calculated separately; therefore, we can avoid solving a complicated nonlinear optimization problem. By conducting experiments, we demonstrate that high-quality curves can be generated from both artificial noisy data and real-world scanned data. Highlights: We propose a method for fitting a G 2 quadratic B-spline curve to planar styling design data. G 2 continuity is attained by using a non-uniform knot vector of the B-spline curve. High-quality curves have been obtained from noisy styling design data.