Conformal 3D visualization for virtual colonoscopy

Steven Haker; Sigurd Angenent; Allen R. Tannenbaum; Ron Kikinis

doi:10.1117/12.383394

20 April 2000 Conformal 3D visualization for virtual colonoscopy

Steven Haker, Sigurd Angenent, Allen R. Tannenbaum, Ron Kikinis

Proceedings Volume 3978, Medical Imaging 2000: Physiology and Function from Multidimensional Images; (2000) https://doi.org/10.1117/12.383394
Event: Medical Imaging 2000, 2000, San Diego, CA, United States

Abstract

In this paper, we propose a new 3D visualization technique for virtual colonoscopy. Such visualization methods could have a major impact since they have the potential for non-invasively determining the presence of polyps and other pathologies. We moreover demonstrate a method which 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. We use the theory of conformal mappings from differential geometry in order to derive an explicit method for flattening surfaces obtained from 3D colon computerized tomography (CT) imagery. Indeed, we describe a general finite element method based on a discretization of the Laplace- Beltrami operator for flattening a surface onto the plane in an angle preserving manner. We also provide simple formulas which may be used in a real time cine to correct for distortion. We apply our method to 3D colon CT data provided to us by the Surgical Planning Laboratory of Brigham and Women's Hospital. We show how the conformal nature of the flattening function provides a flattened representation of the colon which is similar in appearance to the original. Finally, we indicate a few frames of a distortion correcting cine which can be used to examine the entire colon surface.

Citation Download Citation

Steven Haker, Sigurd Angenent, Allen R. Tannenbaum, and Ron Kikinis "Conformal 3D visualization for virtual colonoscopy", Proc. SPIE 3978, Medical Imaging 2000: Physiology and Function from Multidimensional Images, (20 April 2000); https://doi.org/10.1117/12.383394

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