Flattening maps for the visualization of multibranched vessels |
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Authors: | Zhu Lei Haker Steven Tannenbaum Allen |
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Affiliation: | Schools of Biomedical and Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA. gte538w@prism.gatech.edu |
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Abstract: | In this paper, we present two novel algorithms which produce flattened visualizations of branched physiological surfaces, such as vessels. The first approach is a conformal mapping algorithm based on the minimization of two Dirichlet functionals. From a triangulated representation of vessel surfaces, we show how the algorithm can be implemented using a finite element technique. The second method is an algorithm which adjusts the conformal mapping to produce a flattened representation of the original surface while preserving areas. This approach employs the theory of optimal mass transport. Furthermore, a new way of extracting center lines for vessel fly-throughs is provided. |
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