| Title |
Refinable multi-sided caps for bi-quadratic splines / |
| Authors |
Karčiauskas, Kęstutis ; Peters, Jorg |
| DOI |
10.2312/vmv.20211371 |
| Full Text |
|
| Is Part of |
Vision, modeling, and visualization: 26th international symposium on vision, modeling, and visualization virtual-only event September 27-28, 2021 at the Faculty of Computer Science of the Technische Universität Dresden, German / B. Andres, M. Campen, and M. Sedlmair (eds.).. Dresden : Technische Universität Dresden. 2021, p. [1-8] |
| Keywords [eng] |
multi-sided surfaces ; refinability ; Catmull-Clark subdivision ; bi-quadratic splines |
| Abstract [eng] |
Subdivision surfaces based on bi-quadratic splines have a control net, the DS-net, whose irregularities are n-sided facets. To date their limit shape is poor due to a small footprint of the refinement rules and the difficulty of controlling shape at the center irregularity. By contrast, a control net where vertices are surrounded by n quadrilateral faces, a CC-net, admits higher-quality subdivision and finite polynomial constructions. It would therefore be convenient to leverage these constructions to fill holes in a C 1 bi-quadratic spline complex. In principle the switch in layout from a control net with central n-sided facet to one with a central irregular point is easy: just apply one step of Catmull-Clark refinement. The challenge, however, is to define the transition between the bi-quadratic bulk and the n-sided cap construction to be of sufficiently good shape to not destroy the advantage of higher-quality algorithms. This challenge is addressed here by explicit formulas for conversion from a DS-net to a CC-net. |
| Published |
Dresden : Technische Universität Dresden |
| Type |
Conference paper |
| Language |
English |
| Publication date |
2021 |
