In this paper, a fast algorithm for Euler’s elastica functional is proposed, in which the Euler’s elastica functional is reformulated as a constrained minimization problem. Combining the augmented Lagrangian method and operator splitting techniques, the resulting saddle-point problem is solved by a serial of subproblems. To tackle the nonlinear constraints arising in the model, a novel fixed-po...

In this paper, a fast algorithm for Euler’s elastica functional is proposed, in which the Euler’s elastica functional is reformulated as a constrained minimization problem. Combining the augmented Lagrangian method and operator splitting techniques, the resulting saddle-point problem is solved by a serial of subproblems. To tackle the nonlinear constraints arising in the model, a novel fixed-po...

Diffusion tensor MRI (DT-MRI) is an image modality that is gaining clinical importance. After some preliminaries that describe the fundamentals of this imaging modality, we present a new technique to interpolate the diffusion tensor field, preserving boundaries and the constraint of positive-semidefiniteness. Our approach is based on the use of the inverse of the local structure tensor as a met...

Enabling the e cient storage, access and retrieval of large volumes of multi-dimensional data is one of the important emerging problems in databases. We present a framework for adaptively storing, accessing, and retrieving large images. The framework uses a space and frequency graph to generate and select image view elements for storing in the database. By adapting to user access patterns, the ...

We propose a new interpretation platform dedicated to video communication. Basically, a video communication system takes an image flow from a camera and broadcasts it in a computer network. The goal of interpretation is to enable the video communication system to adapt automatically the broadcasted image flow, using image filtering, blurring and zooming. For that we need to detect and track ind...

Sparse coding---that is, modeling data vectors as sparse linear combinations of dictionary elements---is widely used in machine learning, neuroscience, signal processing, and statistics. This talk addresses the problem of learning the dictionary, adapting it to specific data and image understanding tasks. In particular, I will present a fast on-line approach to unsupervised dictionary learning ...

ion in Reasoning about Higraph-Based Systems John Power and Konstantinos Tourlas Division of Informatics, The University of Edinburgh, King’s Buildings, EH9 3JZ, United Kingdom {ajp,kxt}@inf.ed.ac.uk Abstract. Higraphs, a kind of hierarchical graph, underlie a number of sophisticated diagrammatic formalisms, including Statecharts. Naturally arising from hierarchy in higraphs is an abstraction o...

This thesis examines the concept of image self-similarity and provides solutions to various associated inverse problems such as resolution enhancement and missing fractal codes. In general, many real-world inverse problems are ill-posed, mainly because of the lack of existence of a unique solution. The procedure of providing acceptable unique solutions to such problems is known as regularizatio...

This paper describes the “Multi Platform Image Processing tool”, using the multi platform language: java. The application is implemented using java’s graphic and Advanced Imaging libraries (“JAI”).The main features are, MDI (Multiple Document Interface) style application, which allow the user the view and edit multiple images simultaneously, Support of the standard image file formats. Saving im...