Mathematics Clinic Medical Image Processing and Radiation Therapy Mathematics Department of the University of Colorado at Denver   Fall 2002 sponsored by University of Colorado Health Sciences Center Department of Radiation Oncology directed by Dr. Weldon A. Lodwick

- Latest Update - US/Mountain Thursday, January 30, 2007 Webmaster  K. A. Bachman Objectives Image Processing ~ Images ~ Resource Locator ~ Software Case Studies ~ Talks ~ Papers ~ Data

CLINIC OBJECTIVES The clinic is primarily a pedagogical tool where one learns applied mathematics by being a part of an applied mathematics effort. Working in research teams to develop results associated with a project (solving a set of problems and presenting the results) is an integral part of every clinic. Thus, we will try to solve problems that are of current concern. In particular, for this semester, our objectives will be: Develop an attenuation matrix generator that can be downloaded from the web for researchers to use to test their algorithms. Develop a problem set of cat scans containing both easy and complicated tumor locations at a variety of solutions for researchers to test their algorithms. Test a variety of methods for radiation therapy to determine which are the best in obtaining solutions – simulated annealing, tabu search, linear programming, nonlinear programming, quadratic programming, multi-objective programming, variety of objective functions, penalty methods, surprise functions, and optimization under uncertainty methods. Develop a segmentation identifier that has better results than any of those that has previously been developed. Test various algorithms including interior point methods for the radiosurgery problem. Develop materials for a workshop on radiation therapy problems. Develop real time methods for registration of a patient with her/his cat scan. Top

LINKS - IMAGE PROCESSING - Hierarchical Image Segmentation (NASA) Real-Time Image Segmentation for Image-Guided Surgery Segmentation of the Visible Human Data Sets Voronoi Diagram National Library of Medicine Insight Segmentation and Registration Toolkit (ITK) - IMAGES - Center for Human Visualization - University of Colorado GE Medical Systems To save the following images, right-click and choose "Save Target As..." head_1.tif head_2.tif lower.tif prostate.tif - RADIOLOGY RESOURCE LOCATOR - Martindale's Health Science Guide - SOFTWARE - 3DVIEWNIX - University of Pennsylvania Image Analysis Software by NASA Global Optimization - CASE STUDIES - GE Medical Systems - CLINIC TALKS - Steve Billups - Radiotherapy PlanningPowerPoint slides ~ Bill Briggs - Tumor Growth Models & Computed Tomography tumors.ps chemo.m chemo_func.m ~ Weldon Lodwick - Introduction to Fuzzy Set Theory mcbasics.pdf mcbasics.ps mcintrofuzzy.pdf mcintrofuzzy.ps mcmethods.pdf mcmethods.ps A Comparison of Fuzzy, Stochastic and Deterministic Methods in Linear Programming (PowerPoint) The Use of Fuzzy Optimization Methods for Radiation Therapy of Tumors (PowerPoint) Surprise Functions and Optimization Under Uncertainty: Methods and Applications in Radiation Therapy (PowerPoint) Fuzzy Topics - Downloadable Notes Linear Optimization Under Uncertainty: Comparisons (PowerPoint) ~ Adolfo Perez-Duran - Fuzzy Clustering and Image Segmentation fctalk.pdf ~ Nathan A. Acks - Introduction to Prosper prosper_howto.tar.gz prosper_howto.tex prosper_howto.pdf mklatex ~ Steve Humphries - Medical Image Registration PowerPoint slides (associated files follow) To save the following movie files, right-click and choose "Save Target As..." ap15.mpg dragrun.mpg ICPex1f2.mpg ICPex1n.mpg MRcheck.mpg MRjet.mpg ~ Farzin Imani Center for Human Visualization Visible Human Project (PowerPoint) 1120_Center_labeled.jpg 1120_Labeled.jpg 1445ok.jpg Simulation of Medical Ultrasound Images Utilizing Visible Human Datasets Neoplasia ~ Tom McTavish Segmentation Approaches in the Visible Human Visible Human Research - PAPERS - Determination and use of radiobiological response parameters in radiation therapy optimization Hierarchical Image Segmentation (NASA) - DATA - Attenuation Data Sets for Radiation Treatment Planning Problems Top