Refinable Multi-sided Caps for Bi-quadratic Splines
| dc.contributor.author | Karciauskas, Kestutis | en_US |
| dc.contributor.author | Peters, Jörg | en_US |
| dc.contributor.editor | Andres, Bjoern and Campen, Marcel and Sedlmair, Michael | en_US |
| dc.date.accessioned | 2021-09-25T16:36:23Z | |
| dc.date.available | 2021-09-25T16:36:23Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | 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 C1 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. | en_US |
| dc.description.sectionheaders | Smooth Surfaces and Volumes | |
| dc.description.seriesinformation | Vision, Modeling, and Visualization | |
| dc.identifier.doi | 10.2312/vmv.20211371 | |
| dc.identifier.isbn | 978-3-03868-161-8 | |
| dc.identifier.pages | 55-62 | |
| dc.identifier.uri | https://doi.org/10.2312/vmv.20211371 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.2312/vmv20211371 | |
| dc.publisher | The Eurographics Association | en_US |
| dc.title | Refinable Multi-sided Caps for Bi-quadratic Splines | en_US |
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