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Chapter and Conference Paper
Blind Space-Variant Single-Image Restoration of Defocus Blur
We address the problem of blind piecewise space-variant image deblurring where only part of the image is sharp, assuming a shallow depth of field which imposes significant defocus blur.
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Reference Work Entry In depth
Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration
This chapter presents an overview of the Mumford and Shah model for image segmentation. It discusses its various formulations, some of its properties, the mathematical framework, and several approximations. It...
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Living Reference Work Entry In depth
Mumford and Shah Model and Its Applications to Image Segmentation and Image Restoration
This chapter presents an overview of the Mumford and Shah model for image segmentation. It discusses its various formulations, some of its properties, the mathematical framework, and several approximations. It...
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Chapter and Conference Paper
The Beltrami-Mumford-Shah Functional
We present in this paper a unifying generalization of the Mumford-Shah functional, in the Ambrosio-Totorelli set up, and the Beltrami framework. The generalization of the Ambrosio-Tortorelli is in using a diff...
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Article
A Continuum Mechanical Approach to Geodesics in Shape Space
In this paper concepts from continuum mechanics are used to define geodesic paths in the space of shapes, where shapes are implicitly described as boundary contours of objects. The proposed shape metric is der...
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Reference Work Entry In depth
Mumford and Shah Model and its Applications to Image Segmentation andImage Restoration
We present in this chapter an overview of the Mumford and Shah model for image segmentation. We discuss its various formulations, some of its properties, the mathematical framework, and several approximations....
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Chapter and Conference Paper
Geodesics in Shape Space via Variational Time Discretization
A variational approach to defining geodesics in the space of implicitly described shapes is introduced in this paper. The proposed framework is based on the time discretization of a geodesic path as a sequence...
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Chapter and Conference Paper
Restoration of Images with Piecewise Space-Variant Blur
We address the problem of space-variant image deblurring, where different parts of the image are blurred by different blur kernels. Assuming a region-wise space variant point spread function, we first solve th...
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Article
Image Deblurring in the Presence of Impulsive Noise
Consider the problem of image deblurring in the presence of impulsive noise. Standard image deconvolution methods rely on the Gaussian noise model and do not perform well with impulsive noise. The main challen...
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Chapter and Conference Paper
Image Deblurring in the Presence of Salt-and-Pepper Noise
The problem of image deblurring in the presence of salt and pepper noise is considered. Standard image deconvolution algorithms, that are designed for Gaussian noise, do not perform well in this case. Median t...
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Chapter and Conference Paper
Color Image Deblurring with Impulsive Noise
We propose a variational approach for deblurring and impulsive noise removal in multi-channel images. A robust data fidelity measure and edge preserving regularization are employed. We consider several regular...
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Chapter and Conference Paper
Variational Pairing of Image Segmentation and Blind Restoration
Segmentation and blind restoration are both classical problems, that are known to be difficult and have attracted major research efforts. This paper shows that the two problems are tightly coupled and can be s...
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Article
Left-right asymmetry of visual evoked potentials in brain-damaged patients: A mathematical model and experimental results
The left-right asymmetry in the potential amplitude on the scalp was studied in poststroke patients by using flash visual evoked potential (VEP) and a numerical two-dimensional model of the head. The left-righ...