An Implicit Approach to Closed Surface and Contour Segmentation Based on Geodesic Meshing and Transport Equation
Cohen, Laurent D.; Benmansour, Fethallah; Bonneau, Stéphane (2008), An Implicit Approach to Closed Surface and Contour Segmentation Based on Geodesic Meshing and Transport Equation, RFIA 2008, 2008-01, Amiens, France
Type
Communication / ConférenceDate
2008Conference title
RFIA 2008Conference date
2008-01Conference city
AmiensConference country
FranceMetadata
Show full item recordAbstract (EN)
We present a new method for segmenting closed curves or surfaces from a single point. Our work builds on a variant of the Fast Marching algorithm and an implicit approach which solves a transport equation. The goal is to define the curve as a series of minimal paths linking successive keypoints. First, an initial point on the desired boundary is chosen by the user. Next, new keypoints are detected automatically using a front propagation approach. Since the desired object has a closed boundary, a relevant criterion for stopping the keypoint detection and front propagation is used. The final domain visited by the front will yield a band surrounding the object of interest. Linking pairs of neighboring keypoints with minimal paths allows us to extract a closed curve in 2D or a network of minimal paths from a 3D image called Geodesic Mesh. To obtain a complete 3D surface that contains the mesh, we introduce an implicit approach that, through a linear partial differential equation, generates a function whose zero level set is the final segmentation. The proposed method has been successfully applied to 2D and 3D synthetic and real biological data.Subjects / Keywords
image 3-D; Pattern recognition systems; Computer vision in medicineRelated items
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Mille, Julien; Benmansour, Fethallah; Cohen, Laurent D. (2009) Article accepté pour publication ou publié
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Benmansour, Fethallah; Cohen, Laurent D. (2011) Article accepté pour publication ou publié
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