Point-augmented Bi-cubic Subdivision Surfaces

Karciauskas, Kestutis; Peters, Jorg

Point-augmented Bi-cubic Subdivision Surfaces

Files

v41i7pp013-023.pdf (10.83 MB)

Date

2022

Authors

Karciauskas, Kestutis
Peters, Jorg

Publisher

The Eurographics Association and John Wiley & Sons Ltd.

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.

        @article{10.1111:cgf.14653
,
journal = {Computer Graphics Forum},
title = {{Point-augmented Bi-cubic Subdivision Surfaces
}},
author = {Karciauskas, Kestutis and 
Peters, Jorg
},
year = {2022
},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.
},
ISSN = {1467-8659
},
DOI = {10.1111/cgf.14653
}
}