Framelet-Based algorithm for segmentation of tubular structures

Authors:
Xiaohao Cai;Raymond H. Chan;Serena Morigi;Fiorella Sgallari
Affiliations:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong;Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong;Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy;Department of Mathematics-CIRAM, University of Bologna, Bologna, Italy
Venue:
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Year:
2011

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Abstract

Framelets have been used successfully in various problems in image processing, including inpainting, impulse noise removal, super-resolution image restoration, etc. Segmentation is the process of identifying object outlines within images. There are quite a few efficient algorithms for segmentation that depend on the partial differential equation modeling. In this paper, we apply the framelet-based approach to identify tube-like structures such as blood vessels in medical images. Our method iteratively refines a region that encloses the possible boundary or surface of the vessels. In each iteration, we apply the framelet-based algorithm to denoise and smooth the possible boundary and sharpen the region. Numerical experiments of real 2D/3D images demonstrate that the proposed method is very efficient and outperforms other existing methods.