Abstract
In this article, we present regularly parametrized G k free-form spline surfaces that extend box and half-box splines over regular triangular grids. The polynomial degree of these splines is max{4 k + 1, ⌈3k/2 + 1⌉r}, where r ∈ ℕ can be chosen arbitrarily and determines the flexibility at extraordinary points. The G k splines presented in this article depend crucially on low-degree (re-)parametrizations of piecewise polynomial hole fillings. The explicit construction of such parametrizations forms the core of this work and we present two classes of singular and regular parametrizations. Also, we show how to build box and half-box spline surfaces of arbitrarily high smoothness with holes bounded by only n patches, in principle.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.