A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery

Authors:
Bin Dong;Aichi Chien;Zuowei Shen;Stanley Osher
Affiliations:
bdong@math.ucla.edu and sjo@math.ucla.edu;aichi.seas@gmail.com;matzuows@nus.edu.sg;-
Venue:
SIAM Journal on Scientific Computing
Year:
2010

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Abstract

In this paper, we will first introduce a novel multiscale representation (MSR) for shapes via level set motions and PDEs. Based on the MSR, we will then design a surface inpainting algorithm to recover three-dimensional geometry of blood vessels. Because of the nature of irregular morphology in vessels and organs, both phantom and real inpainting scenarios were tested using our new algorithm. Successful vessel recoveries are demonstrated with numerical estimation of the degree of arteriosclerosis and vessel occlusion.