Telecope: An object-oriented architecture for visualization systems.
The 2nd Conference on Digitization
The complexity of retina operators.
The Coverage Model and Its Use in Image Processing
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition
Consider a graph directed iterated function system (GIFS) on the line which consists of similarities. Assuming neither any separation conditions, nor any restrictions on the contractions, we compute the almost sure dimension of the attractor. Then we apply our result to give a partial answer to an open problem in the field of fractal image recognition concerning some self-affine graph directed attractors in space.
The EuDML Metadata Schema : Version 1.0
After an extensive study of the metadata policy of each of its content partners, the EuDML project evaluated many different strategies and existing schemas that could store every detail faithfully, and yet reserve room for the enhancements foreseen in the project’s work plan. The framework provided by the so-called NLM Journal Archiving and Interchange Tag Suite was selected as best readily available approximation of our needs. Some modifications of it have been endorsed by the project, defining...
The Mumford-Shah conjecture in image processing
The structure-from-motion reconstruction pipeline – a survey with focus on short image sequences
The problem addressed in this paper is the reconstruction of an object in the form of a realistically textured 3D model from images taken with an uncalibrated camera. We especially focus on reconstructions from short image sequences. By means of a description of an easy to use system, which is able to accomplish this in a fast and reliable way, we give a survey of all steps of the reconstruction pipeline. For the purpose of developing a coherent reconstruction system it is necessary to integrate...
The tree of shapes of an image
In [30], Kronrod proves that the connected components of isolevel sets of a continuous function can be endowed with a tree structure. Obviously, the connected components of upper level sets are an inclusion tree, and the same is true for connected components of lower level sets. We prove that in the case of semicontinuous functions, those trees can be merged into a single one, which, following its use in image processing, we call “tree of shapes”. This permits us to solve a classical representation...
The tree of shapes of an image
In [CITE], Kronrod proves that the connected components of isolevel sets of a continuous function can be endowed with a tree structure. Obviously, the connected components of upper level sets are an inclusion tree, and the same is true for connected components of lower level sets. We prove that in the case of semicontinuous functions, those trees can be merged into a single one, which, following its use in image processing, we call “tree of shapes”. This permits us to solve a classical representation problem...
Time Stamping Preprint and Electronic Journal Server Environment
The exchange of preprints and journals plays an important role to communicate new research ideas and results in many academic fields. Distribution of preprints and journal articles by electronic file via the Internet has become a primary method in addition to paper publication. Electronic preprints and articles in the paperless era should be certified in terms of existence proof and tamper resistance because they are easily modified by their site administrator. We developed a secure preprint and...
Time-delay regularization of anisotropic diffusion and image processing
We study a time-delay regularization of the anisotropic diffusion model for image denoising of Perona and Malik [IEEE Trans. Pattern Anal. Mach. Intell 12 (1990) 629–639], which has been proposed by Nitzberg and Shiota [IEEE Trans. Pattern Anal. Mach. Intell 14 (1998) 826–835]. In the two-dimensional case, we show the convergence of a numerical approximation and the existence of a weak solution. Finally, we show some experiments on images.
Time-delay regularization of anisotropic diffusion and image processing
We study a time-delay regularization of the anisotropic diffusion model for image denoising of Perona and Malik [IEEE Trans. Pattern Anal. Mach. Intell12 (1990) 629–639], which has been proposed by Nitzberg and Shiota [IEEE Trans. Pattern Anal. Mach. Intell14 (1998) 826–835]. In the two-dimensional case, we show the convergence of a numerical approximation and the existence of a weak solution. Finally, we show some experiments on images.
Time-delayed Perona-Malik type problems.
Towards a Digital Mathematical Library
The workshop’s objectives were to formulate the strategy and goals of a global mathematical digital library and to summarize the current successes and failures of ongoing technologies and related projects. There is already some experience with building smaller DMLs and/or building big thematical scientific digital libraries. Why there are already big fulltext digital library in some domains like PubMed in biomedical one, but none in others? We try to pose such and other questions, and try to find...
Towards a Digital Mathematics Library. On the Crossroad
The DML workshop’s objectives were to formulate the strategy and goals of a global mathematical digital library and to summarize the current successes and failures of ongoing technologies and related projects. There is already experience with building regional DMLs or building big thematic scientific digital libraries. EuDML project reached it halflife period. While there are already big fulltext digital libraries in some domains like PubMed Central in the biomedical domain, Inspire in high-energy...
Towards a Flexible Author Name Disambiguation Framework
In this paper we propose a flexible, modular framework for author name disambiguation. Our solution consists of the core which orchestrates the disambiguation process, and replaceable modules performing concrete tasks. The approach is suitable for distributed computing, in particular it maps well to the MapReduce framework. We describe each component in detail and discuss possible alternatives. Finally, we propose procedures for calibration and evaluation of the described system.
Towards Reverse Engineering of PDF Documents
We present a progress report on our ongoing project of reverse engineering scientific PDF documents. The aim is to obtain mathematical markup that can be used as source for regenerating a document that resembles the original as closely as possible. This source can then be a basis for further document processing. Our current tool uses specialised PDF extraction together with image analysis to produce near perfect input for parsing mathematical formula. Applying a linear grammar and specific drivers...
Two methods for optical flow estimation
In this paper we describe two methods for optical flow estimation between two images. Both methods are based on the backward tracking of characteristics for advection equation and the difference is on the choice of advection vector field. We present numerical experiments on 2D data of cell nucleus.