@inproceedings{c3d40f5ea80d48baa3d5030ae8ee516c,

title = "Construction of rational curves with rational rotation-minimizing frames via M{\"o}bius transformations",

abstract = "We show that M{\"o}bius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on these observations we derive an algorithm for G 1 Hermite interpolation by rational Pythagorean-hodograph curves with rational rotation-minimizing frames.",

keywords = "M{\"o}bius transformations, Pythagorean-hodograph curve, Rational rotation-minimizing frame",

author = "Michael Barton and Bert J{\"u}ttler and Wenping Wang",

year = "2010",

month = apr,

day = "1",

doi = "10.1007/978-3-642-11620-9_2",

language = "English (US)",

isbn = "3642116191",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "15--25",

booktitle = "Mathematical Methods for Curves and Surfaces - 7th International Conference, MMCS 2008, Revised Selected Papers",

note = "7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008 ; Conference date: 26-06-2008 Through 01-07-2008",

}