Polynomial C2 Spline Surfaces Guided by Rational Multisided Patches

Kȩstutis Karčciauskas () and Jörg Peters
Additional contact information
Kȩstutis Karčciauskas: Vilnius University

A chapter in Computational Methods for Algebraic Spline Surfaces, 2005, pp 119-134 from Springer

Abstract: Abstract An algorithm is presented for approximating a rational multi-sided M-patch by a C2 spline surface. The motivation is that the multi-sided patch can be assumed to have good shape but is in nonstandard representation or of too high a degree. The algorithm generates a finite approximation of the M-patch, by a sequence of patches of bidegree (5,5) capped off by patches of bidegree (11,11) surrounding the extraordinary point. The philosophy of the approach is (i) that intricate reparametrizations are permissible if they improve the surface parametrization since they can be precomputed and thereby do not reduce the time efficiency at runtime: and (ii) that high patch degree is acceptable if the shape is controlled by a guiding patch.

Keywords: Control Point; Subdivision Scheme; Good Shape; Subdivision Surface; Spline Surface (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27157-4_9

Ordering information: This item can be ordered from
http://www.springer.com/9783540271574

DOI: 10.1007/3-540-27157-0_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().