3D Topology Preserving Flows for Viewpoint-Based Cortical Unfolding

We present a variational method for unfolding of the cortex based on a user-chosen point of view as an alternative to more traditional global flattening methods, which incur more distortion around the region of interest. Our approach involves three novel contributions. The first is an energy functio...

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Veröffentlicht in:International journal of computer vision 2009-12, Vol.85 (3), p.223-236
Hauptverfasser: Rocha, Kelvin R., Sundaramoorthi, Ganesh, Yezzi, Anthony J., Prince, Jerry L.
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container_issue 3
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container_title International journal of computer vision
container_volume 85
creator Rocha, Kelvin R.
Sundaramoorthi, Ganesh
Yezzi, Anthony J.
Prince, Jerry L.
description We present a variational method for unfolding of the cortex based on a user-chosen point of view as an alternative to more traditional global flattening methods, which incur more distortion around the region of interest. Our approach involves three novel contributions. The first is an energy function and its corresponding gradient flow to measure the average visibility of a region of interest of a surface with respect to a given viewpoint. The second is an additional energy function and flow designed to preserve the 3D topology of the evolving surface. The third is a method that dramatically improves the computational speed of the 3D topology preservation approach by creating a tree structure of the 3D surface and using a recursion technique. Experiments results show that the proposed approach can successfully unfold highly convoluted surfaces such as the cortex while preserving their topology during the evolution.
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subjects Artificial Intelligence
Computer Imaging
Computer Science
Cortexes
Image Processing and Computer Vision
Mathematical analysis
Mathematical models
Pattern Recognition
Pattern Recognition and Graphics
Preserves
Preserving
Studies
Three dimensional
Topology
Variational methods
Vision
title 3D Topology Preserving Flows for Viewpoint-Based Cortical Unfolding
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