Flattening maps for the visualization of multibranched vessels.
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.
Zhu
Lei
L
Schools of Biomedical and Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA. gte538w@prism.gatech.edu
Haker
Steven
S
Tannenbaum
Allen
A
D000465:Algorithms; D001158:Arteries / Q000033:anatomy & histology*; D001185:Artificial Intelligence; D003196:Computer Graphics; D003198:Computer Simulation; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods; D018810:Magnetic Resonance Angiography / Q000379:methods*; D008955:Models, Cardiovascular; D009716:Numerical Analysis, Computer-Assisted; D010363:Pattern Recognition, Automated / Q000379:methods; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted; D013382:Subtraction Technique; D014584:User-Computer Interface