Some Publications

N. Dyn
Linear and Nonlinear Subdivision Schemes in
Geometric Modeling
to appear in the proceedings of FoCM2008.

N. Dyn, K. Hormann, M.A. Sabin and Z. Shen
Polynomial Reproduction by Symmetric
Subdivision Schemes
Submitted for publication

N. Dyn, P. Grohs and J. Wallner
Approximation Order of Interpolatory Nonlinear
Subdivision Schemes
Submitted for publication

N. Dyn, M.S. Floater and K. Hormann
FourPoint Curve Subdivision
Based on Itetated Chordal and Centripetal Parameterizations
Submitted for publication

F. Arandiga, A. Cohen, R. Donat, N. Dyn and B. Matei
Approximation of Piecewise Smooth Functions and
Images by EdgeAdapted (ENOEA) Nonlinear Multiresolution Techniques
To appear in ACHA

N. Dyn, E. Farkhi and A. Mokhov
Approximation of
Univariate SetValued Functionsan Overview
Serdica Mathematical Journal 33 (4) , 495514 (2007)

N. Dyn, D. Levin and J. Yoon
Analysis of Univariate Nonstationary Subdivision
Schemes with Application to Gaussianbased Interpolatory Schemes
SIAM J. Math. Anal. 39, 470488 (2007)

N. Dyn and E. Lipovetski
An Efficient Algorithm for the Computation of
the Metric Average of Two Intersecting
Convex Polygons with Application to Morphing
Advances in Computational Math. 26 , 269282 (2007)

R. Kazinnik, S. Dekel and N. Dyn
Low BitRate Image Coding using Adaptive
Geometric Piecewise Polynomial Approximation
Image Processing, IEE Transactions on Image Processing 16 (9),
22252233 (2007)

N. Dyn, E. Farkhi and A. Mokhov
Approximations of SetValued Functions
by Metric Linear Operators
Constructive Approximation 25 , 193209 (2007)

N. Dyn and A. Mokhov
Approximations of SetValued
Functions Based on the Metric Average
Rendiconti di Mathematica e delle sue Applicazioni Series 7 (26) ,
249266 (2006)

N. Dyn and R. Kazinnik
Two Algorithms for Approximation in Highly
Complicated planar Domains
Algorithms for Approximation, Proceedings of the International Conference,
Chester, 1930 (2006)
A. Iske and J. Levesley (eds.)
Springer Berlin Heidelberg

N. Dyn and A. Mokhov
Approximations of SetValued
Functions Based on the Metric Average
Rendiconti di Mathematica e delle sue Applicazioni Series 7 (26) ,
249266 (2006)

L. Demaret, N. Dyn and A. Iske
Image Compression by Linear Splines over
Adaptive Triangultions
Signal Processing 86 (7), 16041616 (2006)

N. Dyn and E. Farkhi
Approximation of Set Valued Functions with
Compact Images An Overview
Approximation and Probability
T. Figiel and A. Kamont (eds.)
Banach Center Publications 72, 7184 (2006)

N. Dyn
Linear Subdivision Schemes for the Refinement of Geometric
Objects
Proceedings of the International Congress of Mathematicians, Madrid (2006)
M. SanzSole, J. Soria, J.L. Varona and J. Verdera (eds.)

J. Wallner and N. Dyn
Convergence and C^{1} Analysis of Subdivision
Schemes on Manifolds by Proximity
Computer Aided Geometric Design 22, 593622 (2005)

C. Conti and N.Dyn
Blending Based Chaikin Type Subdivision
Schemes for Nets of Curves
Mathematical Methods for Curves and Surfasces: Toronto 2004
M. Dahlen, K. Morken and L. Schumaker (eds.)
Nashboro Press, 5168 (2005)

N. Dyn, M.S. Floater and K. Hormann
A C^{2} FourPoint Subdivision Scheme
with Fourth Order Accuracy and its Extensions
Mathematical Methods for Curves and Surfaces: Toronto 2004
M. Dahlen, K. Morken and L. Schumaker (eds.)
Nashboro Press, 145156 (2005)

F. Arandiga, A. Cohen, R. Donat and N. Dyn
Interpolation and
Approximation of Piecewise Smooth Functions
SIAM Journal on Numerical Analysis 43 (1), 4157 (2005)

L. Demaret, N. Dyn, M. Floater and A. Iske
Adaptive Thining for
Terrain Modelling and Image Compression
Advances in Multiresoltion for Geometric Modelling
N. A. Dodgson, M. S. Floater and M. A. Sabin (eds.)
SpringerVerlag, ISBN 3540214623 (2005)

A. Sheffer, C. Gotsman and N. Dyn
Robust Spherical
Parameterization of Triangular Meshes
Computing 72, 185193 (2004)

N. Dyn and E. Farkhi
SetValued Approximations with Minkowski
AveragesConvergence and Convexifcation Rates
Num. Func.Anal. Optimiz. 25, 363377 (2004)

N. Dyn, D. Levin and A. Luzzatto
Refining Oscillatory
Signals by NonStationary Subdivision Schemes
Modern Developments in Multivariate Approximation
W. Haussmann, K. Jetter, M. Reimer and J. Stockler (eds.)
Birkhauser Verlag, 125142 (2003)

A. Cohen, N. Dyn and B. Matei
Quasilinear Subdivision Schemes
with Applications to ENO Interpolation
ACHA 15, 89116 (2003)

N. Dyn and E. Farkhi
Spline Subdivision Schemes for Compact Sets. A Survey
Serdica Math 28 (4) , 349360 (2002)

N. Dyn, M.S. Floater and A. Iske
Adaptive Thining for
Bivariate Scattered Data
Journal of Computational and Applied Mathematics 145 (2) ,
505517 (2002)

N. Dyn and D. Levin
Subdivision Schemes in Geometric Modelling
Acta Numerica, 73144 (2002)

R. Baier, N. Dyn and E. Farkhi
The Metric Average
of 1D Compact Sets
Approximation Theory X
C. K. Chui, L. L. Schumaker and J. Stockler (ed.)
Vanderbilt University Press, Nashville, TN, 922 (2002)

N. Dyn
Analysis of Convergence and Smoothness by the Formalism of Laurent Polynomials
Tutorials on Multiresolution in Geometric Modelling
A. Iske, E. Quak and M.S. Floater (eds.)
SpringerVerlag, Heidelberg, 5168 (2002)

N. Dyn and E. Farkhi
Spline Subdivision Schemes for Compact Sets with Metric Averages
Trends in Approximation Theory
K. Kopotun, T. Lyche and M. Neamtu (eds.)
Vanderbilt University Press, Nashville, TN, 93102 (2001)

N. Dyn, M.S. Floater and A. Iske
Univariate Adaptive Thining
Mathematical Methods for Curves and Surfaces: Oslo 2000
T. Lyche and L. Schumaker (eds.)
Vanderbilt University Press, Nashville, TN, 123134 (2001)

N. Dyn and E. Farkhi
Spline Subdivision Schemes for Convex Compact Sets
Journal of Computational and Applied Mathematics 119 (12), 133144 (2000)

N. Dyn
Interpolatory Subdivision Schemes
Tutorials on Multiresolution in Geometric Modelling
A. Iske, E. Quak and M.S. Floater (eds.)
SpringerVerlag, Heidelberg, 2550 (2000)

N. Dyn
A Construction of Biorthogonal Functions
to Bsplines with Multiple Knots
Applied and Computational Harmonic Analysis 8, 2431 (2000)

A. Cohen, N. Dyn and M. Postel
Multiresolution Schemes
on Triangles for Scalar Conservation Laws
Journal of Computational Physics 161, 264286 (2000)

N. Dyn and D. Levin
Analysis of HermiteInterpolatory
Subdivision Schemes
Spline Functions and the Theory of Waveletes
S. Dubuc (ed.)
Centre de Recherches Mathematiques, CRM Proceedings and Lecture Notes 18 , (1999)

N. Dyn
Approximation by
Translates of a Radial Function
Sampling Theory in Fourier Analysis; Advanced Topics
J.R. Higgins and R.L. Stens (eds.)
Oxford University Press, 187208 (1999)

A. Cohen and N. Dyn
Nonstationary Subdivision
Schemes and Multiresolution Analysis
SIAM J. Math. Anal. 26, 17451769 (1996)

A. Cohen, N. Dyn and D. Levin
Stability and Rank Properties
of Matrix Subdivision Schemes
Advanced Topics in Multivariate Approximation
F. Fontanella, K. Jetter and L.L. Schumaker (eds.)
World Scientific Publications, 113 (1996)

N. Dyn and A. Ron
Multiresolution Analysis by
Infinitely Differentiable Compactly Supported Functions
Applied and Computational Harmonic Analysis 2 , 1520 (1995)

N. Dyn
Subdivision Schemes in ComputerAided
Geometric Design
Advances in Numerical Analysis II
Wavelets, Subdivision Algorithms and Radial Basis Functions
W. Light (ed.)
Clarendon Press, Oxford, 36104 (1992)

N. Dyn, J. Gregory, D. Levin
A Butterfly Subdivision Scheme for Surface Interpolation
with Tension Control
ACM Trans. on Graphics 9 , 160169 (1990)
For more information on my publications, go to MathSciNet.
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