Subdivision schemes in geometric modelling

N Dyn, D Levin - Acta Numerica, 2002 - cambridge.org
Subdivision schemes are efficient computational methods for the design and representation
of 3D surfaces of arbitrary topology. They are also a tool for the generation of refinable …

Recent progress in subdivision: a survey

M Sabin - Advances in Multiresolution for Geometric Modelling, 2005 - Springer
Recent Progress in Subdivision: a Survey Page 1 Recent Progress in Subdivision: a Survey
Malcolm Sabin Computer Laboratory, University of Cambridge, UK and Numerical Geometry …

Analysis of convergence and smoothness by the formalism of Laurent polynomials

N Dyn - Tutorials on Multiresolution in Geometric Modelling …, 2002 - Springer
In order to design “good” subdivision schemes, tools for analyzing the convergence and
smoothness of a scheme, given its mask, are needed. A Laurent polynomial, encompassing …

Interpolatory subdivision schemes

N Dyn - Tutorials on Multiresolution in Geometric Modelling …, 2002 - Springer
Interpolatory subdivision schemes are refinement rules, which refine data by inserting
values corresponding to intermediate points, using linear combinations of neighbouring …

[图书][B] Tutorials on multiresolution in geometric modelling: summer school lecture notes

A Iske, E Quak, MS Floater - 2002 - books.google.com
Multiresolution methods in geometric modelling are concerned with the generation,
representation, and manipulation of geometric objects at several levels of detail …

Recursive subdivision and hypergeometric functions

L Ivrissimtzis, NA Dodgson… - Proceedings SMI. Shape …, 2002 - ieeexplore.ieee.org
We describe a method for efficient calculation of coefficients for subdivision schemes. We
work on the unit sphere and we express the z-coordinate of all the existing points as power …

Refining Oscillatory Signals by Non—Stationary Subdivision Schemes

N Dyn, DLA Luzzatto - Modern Developments in Multivariate …, 2003 - Springer
The paper presents a method for refining real highly oscillatory signals. The method is
based upon interpolation by a finite set of trigonometric basis functions. The set of …

Geometry and computing

This book is about how to use the Cgal 2D Arrangements package to solve problems. It will
teach you the functionality of this package and a few related Cgal packages. Every feature of …