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A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images

Ardon, Roberto; Cohen, Laurent D.; Yezzi, Anthony (2007), A New Implicit Method for Surface Segmentation by Minimal Paths in 3D Images, Applied Mathematics and Optimization, 55, 2, p. 127-144. http://dx.doi.org/10.1007/s00245-006-0885-y

Type
Article accepté pour publication ou publié
Date
2007
Journal name
Applied Mathematics and Optimization
Volume
55
Number
2
Publisher
Springer
Pages
127-144
Publication identifier
http://dx.doi.org/10.1007/s00245-006-0885-y
Metadata
Show full item record
Author(s)
Ardon, Roberto
Cohen, Laurent D.
Yezzi, Anthony
Abstract (EN)
We introduce a novel implicit approach for single-object segmentation in 3D images. The boundary surface of this object is assumed to contain two known curves (the constraining curves), given by an expert. The aim of our method is to find the wanted surface by exploiting as much as possible the information given in the supplied curves and in the image. As for active surfaces, we use a cost potential that penalizes image regions of low interest (most likely areas of low gradient or too far from the surface to be extracted). In order to avoid local minima, we introduce a new partial differential equation and use its solution for segmentation. We show that the zero level set of this solution contains the constraining curves as well as a set of paths joining them. We present a fast implementation that has been successfully applied to 3D medical and synthetic images.
Subjects / Keywords
Image segmentation; Minimal Paths; Active contours,; Level set method; Stationary transport equation.

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