Multilevel Editing of B-Spline Curves with Robust Orientation of Details
| Autor: | Seung-Hyun Yoon, Hae-Do Hwang, Dong-Geun Park |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Current (mathematics)
Physics and Astronomy (miscellaneous) General Mathematics Frenet–Serret formulas 02 engineering and technology 01 natural sciences hierarchical B-spline curve multiresolution editing displacement function rotation minimizing frames (RMF) Computer graphics (images) Displacement function 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) 0101 mathematics Mathematics Orientation (computer vision) lcsh:Mathematics B-spline 020207 software engineering lcsh:QA1-939 010101 applied mathematics Chemistry (miscellaneous) Rotation (mathematics) Algorithm |
| Zdroj: | Symmetry, Vol 8, Iss 11, p 121 (2016) Symmetry; Volume 8; Issue 11; Pages: 121 |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym8110121 |
| Popis: | We facilitate the editing of hierarchical B-spline curves at multiple resolutions by expressing a displacement function at each level in rotation minimizing frames (RMFs) on the curve at the next lower level. When the curve is edited at a particular level, RMFs at all the higher levels are updated, and the control points of the displacement function at each higher level are obtained from these new RMFs. This transfers details created at the current level to higher levels. Our method presents a hundred-fold faster way to reflect editing results compared to the traditional approach using Frenet frames. We demonstrate the effectiveness of our technique by showing several examples of editing curves with fine details. |
| Databáze: | OpenAIRE |
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