Spline surfaces with T-junctions
Abstract
This paper develops a new way to create smooth piecewise polynomial free-form spline surfaces from quad- meshes that include T-junctions, where surface strips start or terminate. All mesh nodes can be interpreted as control points of geometrically-smooth, piecewise polynomials that we call GT-splines. GT-splines are B-spline-like and cover T-junctions by two or four patches of degree bi-4. They complement multi-sided surface constructions in generating free-form surfaces with adaptive layout. Since GT-splines do not require a global coordination of knot intervals, GT-constructions are easy to deploy and can provide smooth surfaces with T-junctions where T-splines can not have a smooth parameterization. GT-constructions display a uniform highlight line distribution on input meshes where alternatives, such as Catmull-Clark subdivision, exhibit oscillations.
Keywords
Cite
@article{arxiv.1610.05351,
title = {Spline surfaces with T-junctions},
author = {Kestutis Karciauskas and Daniele Panozzo and Jörg Peters},
journal= {arXiv preprint arXiv:1610.05351},
year = {2017}
}
Comments
Example of Fig 2 explained Oct 11 2016 at USACM Isogeometric and Meshfree Methods