The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON INFORMATION SCIENCE AND APPLICATIONS
Transactions ID Number: 28-616
Full Name: Tetsuzo Kuragano
Position: Professor
Age: ON
Sex: Male
Address: 2-1-1, Hodokubo, Hino-City, Tokyo, 191-8506
Country: JAPAN
Tel: +81-42-591-6248
Tel prefix:
Fax: +81-42-591-5452
E-mail address: kuragano@ei.meisei-u.ac.jp
Other E-mails: kuragano@ei.meisei-u.ac.jp
Title of the Paper: B-spline Curve Generation and Modification based on Specified Radius of Curvature
Authors as they appear in the Paper: Tetsuzo Kuragano and Kazuhiro Kasono
Email addresses of all the authors: kuragano@ei.meisei-u.ac.jp
Number of paper pages: 11
Abstract: A method to generate a quintic B-spline curve which passes through given points is described. In this case, there are four more equations than there are control point positions. Two methods have been developed to compensate for the difference between the number of unknowns and that of the equations. These are assuming that the curvatures at both ends of the curve are zero, and assigning four gradients to the given points. In addition to this method, another method to generate a quintic B-spline curve which passes close to given points, and which has the first derivative at these given points is described. In this case, a linear system will be underdetermined, determined or overdetermined depending on the number of given points with gradients. A method to modify a quintic B-spline curve shape according to the specified radius of curvature distribution to realize an aesthetically pleasing freeform curve is described. The difference between the B-spline curve radius o!
f curvature and the specified radius of curvature is minimized by introducing the least-squares method. Examples of curve generation are given.
Keywords: B-spline curve generation, Curvature vector, Curve shape modification, Given points, Given points with gradients, Underdetermined system, Overdetermined system
EXTENSION of the file: .pdf
Special (Invited) Session: Curve Generation and Modification based on Radius of Curvature Smoothing
Organizer of the Session: 602-219
How Did you learn about congress:
IP ADDRESS: 160.194.186.85
