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
  Four-Point 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 Edge-Adapted (ENO-EA) Nonlinear Multiresolution Techniques
  To appear in ACHA



• N. Dyn, E. Farkhi and A. Mokhov
  Approximation of Univariate Set-Valued Functions-an Overview
  Serdica Mathematical Journal 33 (4) , 495-514 (2007)



• N. Dyn, D. Levin and J. Yoon
  Analysis of Univariate Nonstationary Subdivision Schemes with Application to Gaussian-based Interpolatory Schemes
  SIAM J. Math. Anal. 39, 470-488 (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 , 269-282 (2007)



• R. Kazinnik, S. Dekel and N. Dyn
  Low Bit-Rate Image Coding using Adaptive Geometric Piecewise Polynomial Approximation
  Image Processing, IEE Transactions on Image Processing 16 (9), 2225-2233 (2007)



• N. Dyn, E. Farkhi and A. Mokhov
  Approximations of Set-Valued Functions by Metric Linear Operators
  Constructive Approximation 25 , 193-209 (2007)



• N. Dyn and A. Mokhov
  Approximations of Set-Valued Functions Based on the Metric Average
  Rendiconti di Mathematica e delle sue Applicazioni Series 7 (26) , 249-266 (2006)



• N. Dyn and R. Kazinnik
  Two Algorithms for Approximation in Highly Complicated planar Domains
  Algorithms for Approximation, Proceedings of the International Conference, Chester, 19-30 (2006)
  A. Iske and J. Levesley (eds.)
  Springer Berlin Heidelberg



• N. Dyn and A. Mokhov
  Approximations of Set-Valued Functions Based on the Metric Average
  Rendiconti di Mathematica e delle sue Applicazioni Series 7 (26) , 249-266 (2006)



• L. Demaret, N. Dyn and A. Iske
  Image Compression by Linear Splines over Adaptive Triangultions
  Signal Processing 86 (7), 1604-1616 (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, 71-84 (2006)



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



• J. Wallner and N. Dyn
  Convergence and C¹ Analysis of Subdivision Schemes on Manifolds by Proximity
  Computer Aided Geometric Design 22, 593-622 (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, 51-68 (2005)



• N. Dyn, M.S. Floater and K. Hormann
  A C² Four-Point 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, 145-156 (2005)



• F. Arandiga, A. Cohen, R. Donat and N. Dyn
  Interpolation and Approximation of Piecewise Smooth Functions
  SIAM Journal on Numerical Analysis 43 (1), 41-57 (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.)
  Springer-Verlag, ISBN 3-540-21462-3 (2005)



• A. Sheffer, C. Gotsman and N. Dyn
  Robust Spherical Parameterization of Triangular Meshes
  Computing 72, 185-193 (2004)



• N. Dyn and E. Farkhi
  Set-Valued Approximations with Minkowski Averages-Convergence and Convexifcation Rates
  Num. Func.Anal. Optimiz. 25, 363-377 (2004)



• N. Dyn, D. Levin and A. Luzzatto
  Refining Oscillatory Signals by Non-Stationary Subdivision Schemes
  Modern Developments in Multivariate Approximation
  W. Haussmann, K. Jetter, M. Reimer and J. Stockler (eds.)
  Birkhauser Verlag, 125-142 (2003)



• A. Cohen, N. Dyn and B. Matei
  Quasilinear Subdivision Schemes with Applications to ENO Interpolation
  ACHA 15, 89-116 (2003)



• N. Dyn and E. Farkhi
  Spline Subdivision Schemes for Compact Sets. A Survey
  Serdica Math 28 (4) , 349-360 (2002)



• N. Dyn, M.S. Floater and A. Iske
  Adaptive Thining for Bivariate Scattered Data
  Journal of Computational and Applied Mathematics 145 (2) , 505-517 (2002)



• N. Dyn and D. Levin
  Subdivision Schemes in Geometric Modelling
  Acta Numerica, 73-144 (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, 9-22 (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.)
  Springer-Verlag, Heidelberg, 51-68 (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, 93-102 (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, 123-134 (2001)



• N. Dyn and E. Farkhi
  Spline Subdivision Schemes for Convex Compact Sets
  Journal of Computational and Applied Mathematics 119 (12), 133-144 (2000)
  
  
• N. Dyn
  Interpolatory Subdivision Schemes
  Tutorials on Multiresolution in Geometric Modelling
  A. Iske, E. Quak and M.S. Floater (eds.)
  Springer-Verlag, Heidelberg, 25-50 (2000)



• N. Dyn
  A Construction of Bi-orthogonal Functions to B-splines with Multiple Knots
  Applied and Computational Harmonic Analysis 8, 24-31 (2000)



• A. Cohen, N. Dyn and M. Postel
  Multiresolution Schemes on Triangles for Scalar Conservation Laws
  Journal of Computational Physics 161, 264-286 (2000)



• N. Dyn and D. Levin
  Analysis of Hermite-Interpolatory 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, 187-208 (1999)



• A. Cohen and N. Dyn
  Nonstationary Subdivision Schemes and Multiresolution Analysis
  SIAM J. Math. Anal. 26, 1745-1769 (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, 1-13 (1996)



• N. Dyn and A. Ron
  Multiresolution Analysis by Infinitely Differentiable Compactly Supported Functions
  Applied and Computational Harmonic Analysis 2 , 15-20 (1995)



• N. Dyn
  Subdivision Schemes in Computer-Aided Geometric Design
  Advances in Numerical Analysis II Wavelets, Subdivision Algorithms and Radial Basis Functions
  W. Light (ed.)
  Clarendon Press, Oxford, 36-104 (1992)



• N. Dyn, J. Gregory, D. Levin
  A Butterfly Subdivision Scheme for Surface Interpolation with Tension Control
  ACM Trans. on Graphics 9 , 160-169 (1990)

For more information on my publications, go to MathSciNet.

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