Publications

Per refereed journal papers

• • Finite Type Invariants of Links with a Fixed Linking Matrix Journal of Knot Theory and Ramifications, Vol. 11, No. 7 (2002) 1017-1041

• • Image Projection and Representation on S^n, (with E.Saucan, Y. Y. Zeevi),
    Journal of Fourier Analysis and Application, Vol 13, no 6, 2007.

• • Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds, (with E. Saucan and Y. Y. Zeevi),
    Journal of Mathemetical Imaging and Vision, Vol 30, No 1, 2008.

• • Local Vrs. Global in Quasiconformal mapping for Medical Imaging, (with E.Saucan, Efrat Barak-Shimron, Ronen Lev and Y. Y. Zeevi),
    Journal of Mathemetical Imaging and Vision, Vol 32, No 3, 2008.

• • Normal Approximations of Geodesics on Smooth Triangulated Surfaces, (with E.Saucan),
    Sci. Stud. Res., Ser. Math. Inform. Vol. 21, No. 1, 2011.

• • Geometric Approach to Sampling and Communication, (with E.Saucan, Y. Y. Zeevi), STSIP Vol 11, No. 1, 2012.

• • The Scale-Curvature Connection and its Application to Texture Segmentation, (with E. Saucan, Y. Hyams, S. Krakovsky and C. Sagiv, Theory and Applications of Mathematics and Computer Science, Vol. 3, No. 1, 2013.

• • From Normal Surfaces to Normal Curves to Geodesics on Surfaces, Axioms, Vol. 26, No. 6, 2017.

Refereed conference proceedings

• • Curvature Based Clustering of DNA Microarray Data, (with E.Saucan), Springer- Lecture Notes in Computer Science 3523, 2005.

• • Quasi-Conformal Flat Representation of Triangulated Surfaces for Computerized Tomography, (with E.Saucan and Y. Y. Zeevi),
    Springer – LNCS 4241 Proceedings of CVAMIA 2006.

• • Quasi-Isometric and Quasi-Conformal Development of Triangulated Surfaces for Computerized Tomography, (with E.Saucan, Y. Y. Zeevi and O.Zeitoun), Springer – LNCS 4040 Proceedings of IWCIA 2006.

• • Two-Dimensional Sampling and Representation of Folded Surfaces Embedded in Higher Dimensional Manifolds, (with E.Saucan, Y. Y. Zeevi), Proc., EUSIPCO, 2006.

• • Two-Dimensional Representation of Folded Surfaces Embedded in Higher Dimensional Manifolds, (with E.Saucan, Y. Y. Zeevi),
    IEEE ICIP Proc., 2006.

• • Geometric Sampling and Reconstruction of Manifolds for Image Processing, (with E. Saucan and Y. Y. Zeevi),
    Springer – LNCS 4485, Proceedings of SSVM-2007.

• • Combinatorial Ricci Curvature for Image Processing, (with E. Saucan, G. Wolansky and Y. Y. Zeevi), MICCAI Workshop “Manifolds in Medical Imaging: Metrics, Learning and Beyond”, Midas Journal, 2008 .

• • Geometric Sampling of Images, Vector Quantization and Zador’s Theorem, (with E. Saucan, and Y. Y. Zeevi), SampTA 09, 2009.

• • Geometric Wavelets for Image Processing: Metric Curvature of Wavelets, (with E. Saucan and C. Sagiv), SampTA 09, 2009.

• • Geometric Reproducing Kernels for Signal Reconstruction, (with E. Saucan and Y. Y. Zeevi), SampTA 09, 2009.

• • Metric Methods in Surface Triangulation, (with E. Saucan),
    LNCS 5654, Proc. of IMA Conf. Mathematics of Surfaces, 2009.

• • Combinatorial Ricci Curvature and Laplacians for Image Processing, (with E.Saucan, G. Wallansky and Y. Y. Zeevi), IEEE Proc. of CISP’09, Vol. 2, 2009.

• • Ricci Curvature and Flow for Image Denoising and Superresolution, (with E.Saucan and Y. Y. Zeevi), IEEE. Proc. EUSIPCO 2012.
  • Ricci Flow for Image Processing, (with E. Sonn, E. Saucan and Y. Y. Zeevi),  IEEE Eilat Proc., 2014.
  • The Role of the non-local Menger Curvature in Image Processing, (with G. Gilboa, E. Saucan and Y. Y. Zeevi), IEEE ICIP Proc., 2015.
  • Inpainting of Surfaces and Images, (with O. Krengel and Y. Y. Zeevi), IEEE Eilat Proc., 2018.

Technical Reports

• Sampling and Reconstruction of Surfaces and Higher Dimensional Manifolds, (with E. Saucan and Y. Y. Zeevi),
  Technion ccit Report # 591, 2006.
• On the classical and not-so classical Shannon sampling theorem, (with E.Saucan, Dirk A. Lorenz and Y. Y. Zeevi).
  Technion ccit Report # 680, 2008.
• Geometric Approach to Sampling and Communication, (with E.Saucan, Y. Y. Zeevi).
  Technion CCIT Report #707, 2008.
• Combinatorial Ricci Curvature and Laplacians for Image Processing, (with E.Saucan, G. Wolansky and Y. Y. Zeevi).
  Technion CCIT Report #722, 2009.

Submitted

Mathematics

• Quasi Normality of Least Area Incompressible Surfaces in 3-Manifolds
• A Minimal Set of Koopman Eigenfunctions — Analysis and Numerics (with Ido Cohen)

• Functional Dimensionality of Koopman Eigenfunction Space (with Ido Cohen, Gershon Wolansky)

 

Mathematics Education

• Learning Non-Euclidean Geometry Through Every day Problem Solving
• Mathematical Modelling of Everyday Problems and Combined Team-Project Based Learning
• Expanding Teachers Understanding of Shapes: Learning Through Activity Test Case on Topology

Preprints

• • Metric Curvature and Applications. (With E. Saucan)

• • Convergence of Normal surfaces in 3-Manifolds.

• • Segmentation of 3-dimensional CT/MRI Scans Using Normal Surfaces