Nondistorting Flattening Maps and the 3-D Visualization of Colon CT Images

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Title: Nondistorting Flattening Maps and the 3-D Visualization of Colon CT Images
Author: Haker, Steven ; Angenent, Sigurd ; Tannenbaum, Allen R. ; Kikinis, Ron
Abstract: Considers a novel three-dimensional (3-D) visualization technique based on surface flattening for virtual colonoscopy. Such visualization methods could be important in virtual colonoscopy because they have the potential for noninvasively determining the presence of polyps and other pathologies. Further, the authors demonstrate a method that presents a surface scan of the entire colon as a cine, and affords the viewer the opportunity to examine each point on the surface without distortion. The authors use certain angle-preserving mappings from differential geometry to derive an explicit method for flattening surfaces obtained from 3-D colon computed tomography (CT) imagery. Indeed, the authors describe a general method based on a discretization of the Laplace-Beltrami operator for flattening a surface into the plane in a conformal manner. From a triangulated surface representation of the colon, the authors indicate how the procedure may be implemented using a finite element technique, which takes into account special boundary conditions. They also provide simple formulas that may be used in a real-time cine to correct for distortion.
Description: ©2000 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. DOI: 10.1109/42.875181
Type: Article
ISSN: 0278-0062
Citation: Steven Haker, Sigurd Angenent, Allen Tannenbaum, and Ron Kikinis, "Nondistorting Flattening Maps and the 3-D Visualization of Colon CT Images," IEEE Transactions on Medical Imaging, Vol. 19, No. 7, July 2000, 665-670.
Date: 2000-07
Contributor: Yale University. Dept. of Diagnostic Radiology
Yale University. Dept. of Computer Science
University of Wisconsin--Madison. Dept. of Mathematics
Georgia Institute of Technology. School of Electrical and Computer Engineering
Georgia Institute of Technology. Dept. of Biomedical Engineering
Emory University. Dept. of Biomedical Engineering
Georgia Institute of Technology. School of Electrical and Computer Engineering
Brigham and Women’s Hospital. Dept. of Radiology. Surgical Planning Laboratory
Publisher: Georgia Institute of Technology
Institute of Electrical and Electronics Engineers
Subject: Biological organs
Computerised tomography
Finite element analysis
Medical image processing
Virtual reality

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