Cart (Loading....) | Create Account
Close category search window
 

C1 continuous rational re-parameterization using monotonic parametric speed partition

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

4 Author(s)
Xiuxia Liang ; Coll. of Comput. Sci. & Technol., Shandong Univ., Jinan, China ; Caiming Zhang ; Li Zhong ; Yi Liu

A new method to obtain explicit re-parameterization using piecewise rational linear functions is presented in this paper. Based on the outstanding performance of Mobius transformation on modifying pieces with monotonic parametric speed, we create a partition of the original curve, in which the parametric speed of each segment is of monotonic variation. The values of new parameters corresponding to the subdivision points are specified a priori as the ratio of its cumulative arc length and its total arc length. C1 continuity conditions are imposed to each segment, thus, with respect to the new parameters, the objective function is linear and admits a closed-form optimization. Analysis of examples shows that, our method brings a curve very close to the arc length parameterization under L2 norm but with fewer segments.

Published in:

Computer Aided Design and Computer Graphics, 2005. Ninth International Conference on

Date of Conference:

7-10 Dec. 2005

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.