3D tomographic reconstruction of binary images from cone beam projections: a fast level set approach

J.-P. Bruandet1, P. Francoise2,3, J.-M. Dinten, B. Michel4
1Lab d'Electron. et de Technol. de l'Inf., CEA, Centre d'Etudes Nucleaires de Grenoble, France
2CREATIS, INSA-Bit Blaise Pascal, Villeurbanne, France
3CREATIS, INSA Bat Blaise Pascal, France
4I3S, Université de Nice-Sophia Antipolis, Sophia-Antipolis, France

Tóm tắt

This paper addresses 3D tomographic reconstruction of a binary image from a small number of cone-beam projections. Under the binary hypothesis, the object may be conveniently represented by its surfaces, and the reconstruction problem solved using active contour methods. To handle complex topologies, we formalize the problem in the framework of level sets using implicit descriptions of object boundaries. The expression of a velocity including projection data is derived in this context. In addition, regularization is introduced in order to manage both lack of data and noise. A fast implementation of the level set method is described. Results are presented both from realistic simulations and physical data.

Từ khóa

#Tomography #Image reconstruction #Level set #Surface reconstruction #Topology #X-ray imaging #Statistical analysis #Integral equations #Active contours #Biological system modeling

Tài liệu tham khảo

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