A relational-tubular (ReTu) deformable model for vasculature quantification of zebrafish embryo from microangiography image series

Embryonic cardiovascular system plays a vital role in embryonic development of human and animal. In this work, we introduce a novel deformable model, which we called Relational-tubular (ReTu) deformable model for segmenting and quantifying the embryonic vasculature of zebrafish embryo from microangiography image series. Particularly, to incorporate additional constraints on the spatial relationships among vessel branches, we introduce a new energy term called relation energy into the model energy function. This energy item acts as a repulsion force between neighboring vessels during the deformation to encourage them to move towards their respective volume data. Using the ReTu deformable model, the deformation process is an iterative two-stage procedure: vascular axis deformation and vascular surface deformation. The efficiency and robustness of this approach are demonstrated by experiments which show that satisfactory quantifications of the vasculature can be obtained after 3-4 iterations. © 2004 Elsevier Ltd. All rights reserved.