Cyber work: Summary of Work with Students/Collaborators.

Identification of Nerves in Ultrasound Scans (With P. Biegelison et al).

Point Ranges for Ultrasound Maxilla Results Report (Version 07 in progress, P. Biegelison et al)

Identification of Nerves in Ultrasound Scans Report (Version 07 in progress, P. Biegelison et al)

Identification of nerves in ultrasound scans using modified Mumford-Shah models and prior information (with J. An, P. Biegelison)

A fast method for active 3D shape reconstruction (Hero, et al)

Image registration in high dimensional space (Hero, et al)

Compression of Hyperspectral Image Data in Terrestrial Systems (with Anglo-American, South Africa et al.)

Compression of Hyperspectral Image Data in Terrestrial Systems (Damelin, Sears et al)

Bayesian linear unmixing of hyperspectral images corrupted by coloured Gaussian noise with unknown covariance matrix (Hero et al)

De-biasing for intrinsic dimension estimation (Hero et al)

AFRL Summer 2007 Report (Version 07 in progress, Damelin at al)

Further High data problems-via dimension reduction (supervised learning)

  • [1] Classification constraint dimensionality reduction, (with J. Costa, A. Hero, R. Raich), in preparation.
  • [2] Ccdr and dimension estimation of mstar data (with Sung Jin Wang (joint PhD student with Al Hero) and Al Hero: Power point with results, in preparation.
  • [3] Classification using diffusion bases, SSP-Madison (Joint with Yossi Keller): Power point with results, in preparation.
  • [4] D. Greenblatt and S.B. Damelin, Laminar boundary layers subject to high frequency travelling--wave fluctuations, AJAA Journal., Vol. 31, {\bf 5} (1993), pp 957--959.
  • [5] L. H. Damelin, S. Volles, J. M. Whitcutt, S. B. Damelin, J. J. Alexander, Hormesis: A stress response in cells exposed to low levels of heavy metals, Human and Experimental Toxicology, Volume 19 (2000), pp 420-430.
  • [6] Y. Ma, S. B. Damelin, O. Masoud and N. Papanikolopoulos, Activity Recognition via Classification Constrained Diffusion Maps, ISCV (International Symposium on Computer Vision), 2006, pp 1-8.
  • [7] S. B. Damelin and A. J. Devaney, Local Paley Wiener theorems for analytic functions on the unit sphere, Inverse Problems, (23)(2007), pp 1-12.
  • [8] S. B. Damelin, On Bounds for Diffusion, Discrepancy and Fill Distance Metrics, Principal Manfolds, Springer Verlag 2007, Editor, A. Gorban
  • [9] S. B. Damelin and A. J Devaney, Local Paley Wiener theorems, to appear in Proceedings of Inverse Problems Symposium, East Lansing, Michigan, 11-12 June 2007.
  • [10] Rui Xu, Steven Damelin, and Donald C. Wunsch II, "Applications of diffusion maps in gene expression data-based cancer diagnosis analysis," In Proceedings of the 29th Annual International Conference of IEEE Engineering in Medicine and Biology Society, Lyon, France, pp. 4613-4616, August, 2007.
  • [11] Rui Xu, Steven Damelin, B. Nadler, and Donald C. Wunsch II, Clustering of high-dimensional gene expression data with feature filtering methods and diffusion maps, Proceedings of the International Conference on Biomedical Engineering and Informatics, Sanya, China, May, 2008.
  • [12] R. Xu, S. B. Damelin and D. Wunsch, Clustering of Cancer Tissues using Diffusion Maps and Fuzzy ART with Gene Expression Data, submitted.
  • [13] Y. Keller, S. B. Damelin, Classification via Diffusion Maps, IEEE, SSP, Madison, submitted. (Poster format of forthcoming paper).
  • [14] Medical Imaging of the Bracial Plexus, (with Yossi Keller and graduate student Andrew Haase)
  • [15] S Hwang, M. Kliger, A. Hero and S. B. Damelin, Prim PDES and Prim Traingle inequalities, in preparation.

    Further High data problems-via clustering (unsupervised learning, non dimension reduction, graph-clustering methods)

  • [15] Entropic graph dimension estimator of mstar data (with Sung Jin Wang (joint PhD student with Al Hero) and Al Hero: Power point with results, in preparation
  • [16] Triangle Prim Inequalities (joint with Mark Kliger, P. Olvier and A. Hero), in preparation
  • [17] Directed study-part 1 (Sung Jin Wang)[with Al Hero], in preparation
  • [18] Directed study-part 2 (Sung Jin Wang)[with Al Hero], in preparation

    Active contour problems

  • [19] J. H Ann, P. Bigeleisen and S. B. Damelin, Image segmentation of nerves by ultrasound using modified Mumford-Shah and prior information methods, submitted.
  • [20] G. Sundaramoorthi, A. Yezzi, Francisco Fedele, Steven Damelin, Anuradha Godavarty, BEM based Fluorescense optical tomography via Sobolev active contours for Breast Cancer Diagnostic Imaging, in preparation

    Radar and Start presentations

  • [19] X band radar data for 6 points of a rotating octahedron-Poster at CMMSE, IIT, June 2007 (joint with M. Ferrara and undergradute students B. Beevan, T. Brooks and W. Tripplet
  • [20] AFRL Start Workshop Presentation, July 2007
  • Brandon Beevan--MAA 07 filtering poster.

    Compressive Sampling

  • [21] Outcomes of IMA workshop on Compressive Sampling, Organisers, E. Candese and R. Devore, 4-15 June 2007.
  • [22] This is a part of several chapters on compressive sampling written jointly with Willard Miller for our forthcoming book on Signal Processing--the link will be active once the book is published

    Program of Research with the Department of Applied and Computational Mathematics, University of the Witwatersrand.

    This complementory program of research concerns work on data analysis, hyperspectral imaging, sensor networks with faculty (Michael Sears and Colin Wright) and Students (Michael Mitchely and Louis du Plessis) at the University of the Witwatersrand, Anglo-American South Africa, NRF and Maroca (South Africa).

  • Mathematics in Industry, Group
  • Compression of Hyperspectral Mining Image data
  • Joint Students with Michael Sears: Michael Mitchely and Louis du Plessis
  • MISG2008 report (with M. Sears, Michael Mitchely, Louis du Plessis, Kerry Cawse and Richard McIntyve).
  • CAM webpage of Louis
  • CS webpage of Louis
  • Wepage of Michael Mitchely
  • Michael's CS 2008 proposal
  • Andrew Haas webpage