Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1069.65557
Jena, M.K.; Shunmugaraj, P.; Das, P.C.
A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes. (English)
[J] Comput. Aided Geom. Des. 20, No. 2, 61-77 (2003). ISSN 0167-8396

Summary: We present a non-stationary subdivision scheme for generating surfaces from meshes of arbitrary topology. Surfaces generated by this scheme are tensor product bi-quadratic trigonometric spline surfaces except at the extraordinary points. The scheme can be considered as a adaptation of the Doo-Sabin scheme to the non-stationary case. Convergence of the scheme is based on the convergence of a sequence of subdivision matrices to a variant of Doo-Sabin subdivision matrix.

MSC 2000:: *65D18 Computer graphics and computational geometry
68U05 Computational geometry, etc.

Keywords: subdivision scheme; trigonometric spline; arbitrary mesh

Cited in: Zbl pre06156116

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]