Point-augmented Bi-cubic Subdivision Surfaces
| dc.contributor.author | Karciauskas, Kestutis | en_US |
| dc.contributor.author | Peters, Jorg | en_US |
| dc.contributor.editor | Umetani, Nobuyuki | en_US |
| dc.contributor.editor | Wojtan, Chris | en_US |
| dc.contributor.editor | Vouga, Etienne | en_US |
| dc.date.accessioned | 2022-10-04T06:39:26Z | |
| dc.date.available | 2022-10-04T06:39:26Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Point-Augmented Subdivision (PAS) replaces complex geometry-dependent guided subdivision, known to yield high-quality surfaces, by explicit subdivision formulas that yield similarly-good limit surfaces and are easy to implement using any subdivision infrastructure: map the control net d augmented by a fixed central limit point C, to a finer net (˜d;C) = M(d;C), where the subdivision matrix M is assembled from the provided stencil Tables. Point-augmented bi-cubic subdivision improves the state of the art so that bi-cubic subdivision surfaces can be used in high-end geometric design: the highlight line distribution for challenging configurations lacks the shape artifacts usually associated with explicit iterative generalized subdivision operators near extraordinary points. Five explicit formulas define Point-augmented bi-cubic subdivision in addition to uniform B-spline knot insertion. Point-augmented bi-cubic subdivision comes in two flavors, either generating a sequence of C2-joined surface rings (PAS2) or C1-joined rings (PAS1) that have fewer pieces. | en_US |
| dc.description.number | 7 | |
| dc.description.sectionheaders | Curves and Meshes | |
| dc.description.seriesinformation | Computer Graphics Forum | |
| dc.description.volume | 41 | |
| dc.identifier.doi | 10.1111/cgf.14653 | |
| dc.identifier.issn | 1467-8659 | |
| dc.identifier.pages | 13-23 | |
| dc.identifier.pages | 11 pages | |
| dc.identifier.uri | https://doi.org/10.1111/cgf.14653 | |
| dc.identifier.uri | https://diglib.eg.org:443/handle/10.1111/cgf14653 | |
| dc.publisher | The Eurographics Association and John Wiley & Sons Ltd. | en_US |
| dc.title | Point-augmented Bi-cubic Subdivision Surfaces | en_US |
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