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Geometric Approach to Measure-Based Metric in Image Segmentation
Image segmentation Measure-based metric Geometric functional Gamma-convergence Minimal surfaces
2010/1/8
Abstract The Mumford-Shah functional and related algorithms for image segmentation involve a tradeoff between a two-dimensional image structure and one-dimensional parametric curves (contours) that su...
A Geometric-Functional-Based Image Segmentation and Inpainting
Geometric-Functional-Based Image Segmentation Inpainting
2010/1/8
The Mumford-Shah functional minimization, and related algorithms for image segmentation, involve a tradeoff between a twodimensional image structure and one-dimensional parametric curves (contours) th...
Geometric Sampling of Manifolds for Image Representation and Processing
Geometric Sampling Manifolds Image Representation and Processing
2010/1/8
It is often advantageous in image processing and computer vision to consider images as surfaces imbedded in higher dimensional manifolds. It is therefore important to consider the theoretical and appl...
A Geometric Functional for Derivative Approximation
Geometric Functional Derivative Approximation
2010/1/7
We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability conguration of the derivative field is ...
A Geometric Functional for Derivative Approximation
Geometric Functional Derivative Approximation
2010/1/7
We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability conguration of the derivative field is ...
Stochastic analysis of geometric image processing using B-splines
Stochastic analysis geometric image processing B-splines
2009/12/23
Stochastic analysis of geometric image processing using B-splines.
Brain Structure Segmentation from MRI by Geometric Surface Flow
Brain Structure Segmentation MRI
2009/9/8
We present a method for semiautomatic segmentation of brain structures such as thalamus from MRI images based on the concept of geometric surface flow. Given an MRI image, the user can interactively i...
3D geometric reconstruction of thoracic aortic aneurysms
3D geometric reconstruction thoracic aortic aneurysms
2010/2/26
This paper presents a new approach to the reconstruction of an aneurysm model based on the use of several sets of MR images. This enables more accurate representation of not only the lumen but also th...
In-vivo coronary flow profiling based on biplane angiograms: influence of geometric simplifications on the three-dimensional reconstruction and wall shear stress calculation
In-vivo coronary flow profiling biplane angiograms
2010/2/26
We investigated the influence of two methods of lumen reconstruction, assuming circular versus elliptical cross-sections and using different resolutions for the cross-section reconstructions along the...