Self-overlapping curves: Analysis and applications

نویسنده

  • Uddipan Mukherjee
چکیده

When a disk in 2D is stretched arbitrarily with possible self-overlaps, without twisting it, its boundary forms a complex curve knownas a self-overlapping curve. Themapping between thedisk and its deformed self, also called an immersion of the disk, is useful in many applications like shape morphing and curve interpretation. Given a self-overlapping curve, an algorithm for computing its immersion is presented, which has an average time complexity quadratic in the number of points on the curve. © 2013 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Computer-Aided Design

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2014