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Stationary Subdivision and Multiresolution Surface Representations (1998)  (Make Corrections)  (12 citations)
Denis N. Zorin



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Abstract: Stationary subdivision is an important tool for generating smooth free-form surfaces used in CAGD and computer graphics. One of the challenges in the construction of subdivision schemes for arbitrary meshes is to guarantee that the surfaces produced by the algorithm are C¹-continuous. First results in this direction were obtained only recently. In this thesis we derive necessary and sufficient criteria for C^k-continuity that generalize and extend most known conditions. We present a new... (Update)

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11:   Smooth subdivision surfaces based on triangles (context) - Loop - 1987
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BibTeX entry:   (Update)

D. Zorin. Stationary Subdivision and Multiresolution Surface Representation. PhD thesis, California Institute of Technology, 1997. 36 http://citeseer.ist.psu.edu/zorin98stationary.html   More

@techreport{ zorin97stationary,
    author = "Denis N. Zorin",
    title = "Stationary Subdivision and Multiresolution Surface Representations",
    number = "1997.cs-tr-97-32",
    month = "23,",
    pages = "279",
    year = "1997",
    url = "citeseer.ist.psu.edu/zorin98stationary.html" }
Citations (may not include all citations):
439   An Introduction to the Theory of Numbers (context) - Hardy, Wright - 1938
437   Laplacian pyramid as a compact image code - Burt, Adelson - 1983
430   Progressive meshes - Hoppe - 1996
307   Multiresolution analysis of arbitrary meshes - Eck, DeRose et al. - 1995
237   Mesh optimization - Hoppe, DeRose et al. - 1993
205   Stationary subdivision (context) - Cavaretta, Dahmen et al. - 1991
204   Methods and Applications Of Interval Analysis (context) - Moore - 1979
201   spline surfaces on arbitrary topological meshes (context) - Catmull, Clark et al. - 1978
190   Smooth subdivision surfaces based on triangles (context) - Loop - 1987
168   Multiresolution analysis for surfaces of arbitrary topologic.. - Lounsbery, DeRose et al. - 1997
156   A signal processing approach to fair surface design - Taubin - 1995
145   A butterfly subdivision scheme for surface interpolation wit.. (context) - Dyn, Levin et al. - 1990
135   Symmetric iterative interpolation processes (context) - Deslauriers, Dubuc - 1989
102   Interpolation through an iterative scheme (context) - Dubuc - 1986
93   Interpolating subdivision for meshes with arbitrary topology - Zorin, Schroder et al. - 1996
84   fair interpolation using Catmull-Clark surfaces (context) - Halstead, Kass et al. - 1993
84   Fitting smooth surfaces to dense polygon meshes - Krishnamurthy, Levoy - 1996
77   Variational surface modeling - Welch, Witkin - 1992
76   Multiresolution curves - Finkelstein, Salesin - 1994
75   spline refinement (context) - Forsey, Bartels - 1988
74   Interactive multiresolution surface viewing - Certain, Popovic et al. - 1996
70   Interpolating wavelet transforms - Donoho - 1992
61   A unified approach to subdivision algorithms near extraordin.. (context) - Reif - 1995
60   The exact computation paradigm - Yap, Dube - 1995
48   Interpolating subdivision schemes for the generation of curv.. (context) - Dyn, Levin - 1989
48   Interpolatory subdivision on open quadrilateral nets with ar.. - Kobbelt - 1996
48   Interpolatory subdivision on open quadrilateral nets with ar.. - Kobbelt - 1996
47   Interpolation dyadique (context) - Deslauriers, Dubuc - 1987
42   Conditions for tangent plane continuity over recursively gen.. (context) - Ball, Storry - 1988
33   Analysis and Application of Subdivision Surfaces - Schweitzer - 1996
31   Smooth spline surfaces over irregular meshes (context) - Loop - 1994
30   A subdivision algorithm for smoothing down irregularly shape.. (context) - Doo - 1978
29   Hierarchical and variational geometric modeling with wavelet.. - Gortler, Cohen - 1995
27   Subdivision methods for geometric design - Warren - 1995
24   Using parameters to increase smoothness of curves and surfac.. (context) - Dyn, Levin et al. - 1990
24   splines bases built better by B-patches (context) - Dahmen, Micchelli et al. - 1992
22   Chapman and Hall (context) - Giblin, Surfaces - 1981
22   Analysis of the behaviour of recursive division surfaces nea.. (context) - Doo, Sabin - 1978
21   A four-point interpolatory subdivision scheme for curve desi.. (context) - Dyn, Gregory et al. - 1987
20   Generative Modeling for Computer Graphics and CAD (context) - Snyder - 1992
18   Hierarchical computation of PL harmonic embeddings - Duchamp, Certain et al. - 1997
17   The Use of Piecewise Forms for the Numerical Representation .. (context) - Sabin - 1976
16   ciently representing functions on the sphere (context) - Schroder, Sweldens - 1995
13   Subdivision schemes for surface interpolation (context) - Dyn, Hed et al. - 1993
11   Surface interpolation on irregular networks with normal cond.. (context) - Nasri - 1991
9   Profil -- programmer's runtime optimized fast interval libra.. (context) - Knuppel - 1993
9   Hierarchical editing and rendering of subdivision surfaces - Pulli, Lounsbery - 1997
9   Multiresolution surface reconstruction for hierarchical Bspl.. - Forsey, Wong - 1995
8   Piecewise smooth surface reconsruction (context) - Hoppe, DeRose et al. - 1994
8   Curvature continuous spline surfaces over irregular meshes - Peters
7   Necessary conditions for subdivision surfaces - Prautzsch, Reif - 1996
6   Expr: Implementation of an exact computation package (context) - Ouchi - 1997
6   Edge and vertex insertion for a class of subdivision surface.. (context) - Habib, Warren - 1996
6   A degree estimate for polynomial subdivision surface of high.. - Reif - 1995
6   A degree estimate for polynomial subdivision surfaces of hig.. - Reif - 1996
6   Some new results on subdivision algorithms for meshes of arb.. - Reif - 1995
5   Computer Graphics and Geometric Modeling Using Beta-splines (context) - Barsky - 1988
5   surface splines (context) - Peters - 1995
4   Interactive surface design using recursive subdivision (context) - Kurihara - 1993
4   SIAM Jornal of Numerical Analysis (context) - Peters, Reif et al. - 1997
3   subdivision surfaces at extraordianry points (context) - Prautzsch - 1995
3   Singularities of di#erentiable maps (context) - Arnold, Gusein-Zade et al. - 1985
2   The subdivision experience - Dyn, Levin - 1994
1   A criterion for the existence of a nondegenerate quasihomoge.. (context) - Kusnirenko - 1977
1   Interval arithmetic and automated error analysis in digital .. (context) - Moore - 1962



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