-
Article
Open AccessREPIMPACT - a prospective longitudinal multisite study on the effects of repetitive head impacts in youth soccer
Repetitive head impacts (RHI) are common in youth athletes participating in contact sports. RHI differ from concussions; they are considered hits to the head that usually do not result in acute symptoms and ar...
-
Article
Computational end-to-end and super-resolution methods to improve thermal infrared remote sensing for agriculture
Increasing global water deficit and demand for yield improvement call for high-resolution monitoring of irrigation, crop water stress, and crops' general condition. To provide high spatial resolution with high...
-
Chapter
On Geometric Invariants, Learning, and Recognition of Shapes and Forms
Extracting meaningful representations from geometric data has prime importance in the areas of computer vision, computer graphics, and image processing. Classical approaches use tools from differential geometr...
-
Article
Open AccessSpectral Analysis of a Non-Equilibrium Stochastic Dynamics on a General Network
Unravelling underlying complex structures from limited resolution measurements is a known problem arising in many scientific disciplines. We study a stochastic dynamical model with a multiplicative noise. It c...
-
Chapter and Conference Paper
Sparse Representation for White Matter Fiber Compression and Calculation of Inter-Fiber Similarity
Recent years have brought about impressive reconstructions of white matter architecture, due to the advance of increasingly sophisticated MRI based acquisition methods and modeling techniques. These result in...
-
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.
-
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...
-
Article
Equi-affine Invariant Geometry for Shape Analysis
Traditional models of bendable surfaces are based on the exact or approximate invariance to deformations that do not tear or stretch the shape, leaving intact an intrinsic geometry associated with it. These ge...
-
Article
A Class of Generalized Laplacians on Vector Bundles Devoted to Multi-Channel Image Processing
In the context of fibre bundles theory, there exist some differential operators of order 2, called generalized Laplacians, acting on sections of vector bundles over Riemannian manifolds, and generalizing the L...
-
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...
-
Article
Learning Big (Image) Data via Coresets for Dictionaries
Signal and image processing have seen an explosion of interest in the last few years in a new form of signal/image characterization via the concept of sparsity with respect to a dictionary. An active field of ...
-
Chapter
Incremental Level Set Tracking
We consider the problem of contour tracking in the level set framework. Level set methods rely on low level image features, and very mild assumptions on the shape of the object to be tracked. To improve their ...
-
Chapter and Conference Paper
Equi-affine Invariant Geometries of Articulated Objects
We introduce an (equi-)affine invariant geometric structure by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enab...
-
Chapter and Conference Paper
Metric Selection and Diffusion Tensor Swelling
The measurement of the distance between diffusion tensors is the foundation on which any subsequent analysis or processing of these quantities, such as registration, regularization, interpolation, or statistic...
-
Chapter and Conference Paper
Polyakov Action on (ρ,G)-Equivariant Functions Application to Color Image Regularization
We propose a new mathematical model for color images taking into account that color pixels change under transformation of the light source. For this, we deal with (ρ,G)-equivariant functions on principal bundles,...
-
Chapter and Conference Paper
Deblurring Space-Variant Blur by Adding Noisy Image
Imaging restoration is an essential step in hybrid optical and image processing system which relays on poor optics. The poor optics makes the blur ill-conditioned and turns the deblurring process difficult and...
-
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...
-
Chapter
SPD Tensors Regularization via Iwasawa Decomposition
In this chapter we propose a novel framework for regularization of symmetric positive-definite (SPD) tensors (e.g., diffusion tensors). This framework is based on a local differential geometric approach where ...
-
Chapter and Conference Paper
From High Definition Image to Low Space Optimization
Signal and image processing have seen in the last few years an explosion of interest in a new form of signal/image characterization via the concept of sparsity with respect to a dictionary. An active field of ...
-
Article
Square Integrable Group Representations and the Uncertainty Principle
Let U be a square integrable representation of a Lie group G of transformations in a Hilbert space \(\mathcal{H}\) , and...
