@inproceedings{04357cba5c96423c92b4ae4ba1e3e438,
title = "Improving angular speed uniformity by C1 piecewise reparameterization",
abstract = "We show how to compute a C 1 piecewise-rational reparameterization that closely approximates to the arc-angle parameterization of any plane curve by C 1 piecewise M{\"o}bius transformation. By making use of the information provided by the first derivative of the angular speed function, the unit interval is partitioned such that the obtained reparameterization has high uniformity and continuous angular speed. An iteration process is used to refine the interval partition. Experimental results are presented to show the performance of the proposed method and the geometric behavior of the computed reparameterizations.",
keywords = "Parametric plane curve, angular speed uniformity, monotonic behavior",
author = "Jing Yang and Dongming Wang and Hoon Hong",
year = "2013",
doi = "10.1007/978-3-642-40672-0\_3",
language = "英语",
isbn = "9783642406713",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "33--47",
booktitle = "Automated Deduction in Geometry - 9th International Workshop, ADG 2012, Revised Selected Papers",
address = "德国",
note = "9th International Workshop on Automated Deduction in Geometry, ADG 2012 ; Conference date: 17-09-2012 Through 19-09-2012",
}