Nira Dyn, David Levin  Home/Search
Context Related
| kowon.dongseo.ac.kr/~lbg/...dynlevin.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: kowon.dongseo.ac.kr/~...kmmcs0401 (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: this paper we consider mainly the notion of uniform convergent, corresponding to (2.7), which is relevant to geometric modeling. We also mention here the weakest notion of convergence [22], termed "weak convergence" or "distributional convergence". A subdivision scheme S fa g , generating the values = R a f , for k 2 Z; k > 0, converges weakly to an integrable function f , if for any g 2 C 0 (in nitely smooth and of compact support), g(2 )f Z s f(x)g(x)dx : De... (Update)
Context of citations to this paper: More
...scheme converging uniformly zn l to zero for all bounded initial data. Prooff See the proof of Theorem 3.4 in [8] or Section 4. 2 in [10] as it applies to multistep schemes. The key point is that for an iterative interpolation scheme (even a nonstationary one) to be C , it...
Cited by: More
Meshless Geometric Subdivision - Moenning, Memoli, Sapiro, Dyn.. (2004) (Correct)
Non-Interpolatory Hermite Subdivision Schemes - Han, Yu, Xue (2003) (Correct)
Classification and Construction of Bivariate Subdivision Schemes - Han (2002) (Correct)
Active bibliography (related documents): More All
1.2: Filling an N-sided hole using combined subdivision schemes - Levin (1999) (Correct)
1.2: Using Laurent Polynomial Representation for the Analysis of.. - Levin (1998) (Correct)
1.2: A Variational Approach to Subdivision - Kobbelt (1995) (Correct)
Similar documents based on text: More All
0.3: Analysis of Hermite-interpolatory subdivision schemes - Dyn, Levin (1998) (Correct)
0.2: Subdivision for C¹ Surface Interpolation - Dyn, Hed, Levin (Correct)
0.2: The Subdivision Experience - Dyn, Levin (1994) (Correct)
Related documents from co-citation: More All
2: Computing the smoothness exponent of a symmetric multivariate refinable function - Han - 2003
2: A butterfly subdivision scheme for surface interpolation with tension control (context) - Dyn, Gregory et al. - 1990
2: A family of Hermite interpolants by bisection algorithms (context) - Merrien - 1992
BibTeX entry: (Update)
N. Dyn, D. Levin, Subdivision schemes in geometric modelling, Acta Numerica 12 (2002), 1-72. http://citeseer.ist.psu.edu/dyn02subdivision.html More
@misc{ dyn02subdivision,
author = "N. Dyn and D. Levin",
title = "Subdivision schemes in geometric modelling",
text = "N. Dyn, D. Levin, Subdivision schemes in geometric modelling, Acta Numerica
12 (2002), 1-72.",
year = "2002",
url = "citeseer.ist.psu.edu/dyn02subdivision.html" }
Citations (may not include all citations):1526 Ten Lectures on Wavelets (context) - Daubechies - 1992
1064 Theory for multiresolution signal decomposition: the wavelet.. (context) - Mallat - 1989
201 spline surfaces on arbitrary topological meshes (context) - Catmull, Clark et al. - 1978
179 Spline Functions: Basic Theory (context) - Schumaker - 1980
161 Piecewise smooth surface reconstruction - Hoppe, DeRose et al. - 1994
104 Behaviour of recursive division surface near extraordinary p.. (context) - Doo, Sabin - 1978
102 Interpolation through an iterative scheme (context) - Dubuc - 1986
101 Interactive multiresolution mesh editing - Zorin, Schr et al. - 1997
93 Interpolating subdivision for meshes with arbitrary topology - Zorin, Schr et al. - 1996
72 Subdivision surfaces in character animation (context) - DeRose, Kass et al. - 1998
72 Subdivision schemes in computer aided geometric design (context) - Dyn - 1992
56 splines and subdivision techniques in computer-aided geometr.. (context) - Cohen, Lyche et al. - 1980
55 Simple regularity criteria for subdivision schemes - Rioul - 1992
51 Interpolatory convexity preserving subdivision schemes for c.. (context) - Dyn, Levin et al. - 1992
50 existence and global regularity of solutions (context) - Daubechies, Lagarias et al. - 1992
49 Biorthogonal wavelet expansion - Dahmen, Micchelli - 1997
49 An algorithm for high speed curve generation (context) - Chaikin - 1974
48 Interpolatory subdivision on open quadrilateral nets with ar.. - Kobbelt - 1996
48 Interpolatory subdivision on open quadrilateral nets with ar.. - Kobbelt, Hesse et al. - 1996
42 Conditions for tangent plane continuity over recursively gen.. (context) - Ball, Storry - 1988
37 Multidimensional interpolatory subdivision schemes - Riemenschneider, Shen - 1997
35 Subdivision schemes in l p spaces (context) - Jia - 1995
34 Analysis of uniform binary subdivision schemes for curve des.. (context) - Dyn, Gregory et al. - 1991
33 Subdivision for Modeling and Animation (context) - Zorin, Schr et al. - 2000
31 Piecewise smooth subdivision surfaces with normal control - Zorin, Biermann et al. - 2000
31 The simplest subdivision scheme for smoothing polyhedra - Peters, Reif - 1997
27 A variational approach to subdivision - Kobbelt - 1996
24 Using parameters to increase smoothness of curves and surfac.. (context) - Levin, Dyn et al. - 1990
21 A four-point interpolatory subdivision scheme for curve desi.. (context) - Dyn, Gregory et al. - 1987
16 Multivariate re nement equations and convergence of subdivis.. (context) - Han, Jia - 1998
15 Interpolating nets of curves by smooth subdivision surfaces (context) - Levin - 1999
15 subdivision scheme for surface interpolation with tension co.. (context) - Dyn, Gregory et al. - 1990
14 A family of hermite interpolants by bisection algorithms (context) - Merrien - 1992
14 Regularity of irregular subdivision - Daubechies, Guskov et al. - 1999
14 Computer Graphics and Image Processing (context) - Riesenfeld, algorithm - 1975
13 Subdivision schemes for surface interpolation (context) - Dyn, Hed et al. - 1993
13 Improved triangular subdivision schemes - Prautzsch, Umlauf - 1998
13 Symmetric iterative interpolation (context) - Deslauriers, Dubuc - 1989
13 Interpolatory subdivision schemes for the generation of curv.. (context) - Dyn, Levin - 1990
12 Stability and inter-dependence of matrix subdivision schemes (context) - Cohen, Dyn et al. - 1996
11 Combined subdivision schemes for the design of surfaces sati.. - Levin - 1999
11 Convexity preserving interpolatory subdivision schemes (context) - Kuijt, van Damme - 1998
11 Symmetric orthonormal scaling functions and wavelets with di.. - Han - 1998
11 Analysis of hermite-interpolatory subdivision schemes - Dyn, Levin - 1999
10 Subdivision algorithms for the generation of box spline surf.. (context) - Dahmen, Micchelli - 1984
10 Smoothness of subdivision surfaces at extraordinary points (context) - Prautzsch - 1998
10 Characterization of smoothness of multivariate re nable func.. (context) - Jia - 1999
9 Smooth multiwavelet duals of alpert bases by moment-interpol.. - Donoho, Dyn et al. - 2000
9 Wavelet analysis of re nement equations (context) - Villemoes - 1994
9 Multivariate subdivision schemes and divided di erences - Guskov - 1998
8 Binary subdivision schemes for functions over irregular knot.. - Warren - 1995
8 Regularite des bases d'ondelettes et mesures ergodiques (context) - Cohen - 1992
8 Computing the smoothness exponent of a symmetric multivariat.. - Han - 2001
7 Approximation order provided by re nable function vectors (context) - Plonka - 1995
7 Monotonicity preserving interpolatory subdivision schemes (context) - Kuijt, van Damme - 1999
7 Shape preserving interpolatory subdivision schemes for nonun.. - Kuijt, van Damme - 2002
7 The sobolev regularity of re nable functions (context) - Ron, Shen - 2000
7 Smoothness of subdivision on irregular meshes (context) - Zorin - 2000
7 A uni ed approach to subdivision algorithms near extraordina.. (context) - Reif - 1995
7 On vector subdivision - Micchelli, Sauer - 1998
7 Spectral properties of the transition operator associated to.. (context) - Jia, Zhang - 1999
6 Two-scale di erence equations (context) - Daubechies, Lagarias - 1992
6 Curvature integrability of subdivision surfaces - Reif, Schr - 2000
5 Smooth spline surfaces based on triangles (context) - Loop - 1987
5 volume 98 of Applied Mathematical Sciences (context) - de Boor, ollig et al. - 1993
5 Computer aided geometric design (context) - Gregory, Qu et al. - 1996
5 Convexity preservation of the four-point interpolatory subdi.. - Dyn, Kuijt et al. - 1999
4 The subdivision and transition operators associated with a r.. (context) - Jia - 1996
4 Analysis of asymptotically equivalent binary subdivision sch.. (context) - Dyn, Levin - 1995
4 Curve interpolation in recursively generated b-spline surfac.. - Nasri - 1997
4 Piecewise uniform subdivision schemes - Dyn, Gregory et al. - 1995
4 Piecewise uniform subdivision schemes - Dyn, Gregory et al. - 1995
3 Compactly supported solutions of functional-di erential equa.. (context) - Rvachev - 1990
3 Regularity of re nable function vectors (context) - Cohen, Daubechies et al. - 1997
3 American Mathematical Society (context) - Cavaretta, Dahmen et al. - 1991
3 Analysis of subdivision schemes for surfaces (context) - Hed - 1990
3 Computer Aided Geometric Design (context) - Ball, Storry et al. - 1989
3 Face value subdivision schemes on triangulations by repeated.. (context) - Dyn, Levin et al. - 2001
3 Generalized re nement equations and subdivision processes (context) - Derfel, Dyn et al. - 1995
2 Triangle mesh subdivision with bounded curvature and the con.. (context) - Loop - 2001
2 Quasilinear subdivision schemes with applications to eno int.. - Cohen, Dyn et al. - 2001
2 fair interpolation using catmull-clark sutfaces (context) - Halstead, Kass et al. - 1993
2 Using Laurent polynomial representation for the analysis of .. - Levin - 1999
2 Nonstationary subdivision schemes and multiresolution analys.. (context) - Cohen, Dyn - 1996
2 Sur une courbe plane (context) - de Rahm - 1956
1 subdivision based algorithm surfacesurface intersection (context) - based, surface et al. - 1990
1 Convexi cation rates in minkowski averaging processes (context) - Dyn, Farhi - 2001
1 Interpolation of open curves by recursive subdivision surfac.. (context) - Nasri - 1997
1 Computer Aided Geometric Design (context) - de Boor, always - 1987
1 An introduction to bivariate uniform subdivision (context) - Gregory - 1991
1 Multiresolution analysis by in nitely di erentiable compactl.. (context) - Dyn, Ron - 1995
1 Computing normals and o sets of curves and surfaces generate.. (context) - Shenkman - 1996
1 Non-stationary interpolatory subdivision schemes reproducing.. (context) - Dyn, Levin et al. - 2001
1 interpolatory subdivision scheme for the generation of C sur.. (context) - Labkovsky, butter - 1996
1 Analysis of quazi-uniform subdivision schemes (context) - Levin - 1999
1 Factorization of matrix subdivision symbols (context) - Dyn, Levin - 2001
1 Spline subdivision schemes for compact sets with metric aver.. (context) - Dyn, Farhi - 2001
1 A subdivision scheme for surfaces of revolotion (context) - Morin, Warren et al. - 2001
1 Polyscale subdivision schemes and re nability (context) - Dekel, Dyn - 2001
1 Multiplicative multiresolution analysis for lie-group valued.. (context) - Donoho, Stodden - 2001
1 Analysis of algorithms generating b-spline subdivision (context) - Peters, Reif - 1998
1 Combined Subdivision Schemes with Applications to Surface De.. (context) - Levin - 1999
1 Spline subdivision schemes for convex compact sets - Dyn, Farhi - 2000
Documents on the same site (http://kowon.dongseo.ac.kr/~lbg/cagd/kmmcs/kmmcs0401.html):
Nonuniform Web-Splines - Höllig, Reif (2003) (Correct)
B-Spline Approximation Of Neumann - Problems Klaus Ollig (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC