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        "title": "Enhancing Visualization with Real-Time Frequency-based Transfer Functions",
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        "abstract": "Transfer functions have a crucial role in the understanding and visualization of 3D data. While research has\r\nscrutinized the possible uses of one and multi-dimensional transfer functions in the spatial domain, to our\r\nknowledge, no attempt has been done to explore transfer functions in the frequency domain. In this work we\r\npropose transfer functions for the purpose of frequency analysis and visualization of 3D data. Frequency-based\r\ntransfer functions offer the possibility to discriminate signals, composed from different frequencies, to analyze\r\nproblems related to signal processing, and to help understanding the link between the modulation of specific\r\nfrequencies and their impact on the spatial domain. We demonstrate the strength of frequency-based transfer\r\nfunctions by applying them to medical CT, ultrasound and MRI data, physics data as well as synthetic seismic\r\ndata. The interactive design of complex filters for feature enhancement can be a useful addition to conventional\r\nclassification techniques.",
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        "title": "On Visualization and Reconstruction from Non-uniform Point Sets",
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        "abstract": "Technological and research advances in both acquisition and simulation devices provide continuously increasing high-resolution volumetric data that by far exceed today's graphical and display capabilities. Non-uniform representations offer a way of balancing this deluge of data by adaptively measuring (sampling) according to the importance (variance) of the data. Also, in many real-life situations the data are known only on a non-uniform representation. \r\n\r\nProcessing of non-uniform data is a non-trivial task and hence more difficult when compared to processing of regular data. Transforming from non-uniform to uniform representations is a well-accepted paradigm in the signal processing community. In this thesis we advocate such a concept. The main motivation for adopting this paradigm is that most of the techniques and methods related to signal processing, data mining and data exploration are well-defined and stable for Cartesian data, but generally are non-trivial to apply to non-uniform data. Among other things, \r\nthis will allow us to better exploit the capabilities of modern GPUs.\r\n\r\nIn non-uniform representations sampling rates can vary drastically even by several orders of magnitude, making the decision on a target resolution a non-trivial trade-off between accuracy and efficiency. In several cases the points are spread non-uniformly with similar density across the volume, while in other cases the points have an enormous variance in distribution. In this thesis we present solutions to both cases. For the first case we suggest computing reconstructions of the same volume in different resolutions based on the level of detail we are interested in. The second case scenario is the main motivation for proposing a multi-resolution scheme, where the scale of reconstruction is decided adaptively based on the number of points in each subregion of the whole volume.\r\n\r\nWe introduce a novel framework for 3D reconstruction and visualization from non-uniform scalar and vector data. We adopt a variational reconstruction approach. In this method non-uniform point sets are transformed to a uniform representation consisting of B-spline coefficients that are attached to the grid. With these coefficients we can define a C2 continuous function across the whole volume. Several testings were performed in order to analyze and fine-tune our framework. All the testings and the results of this thesis offer a view from a new and different perspective to the visualization and reconstruction from non-uniform point sets.",
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        "title": "On Visualization and Reconstruction from Non-Uniform Point Sets using B-splines",
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        "event": "Eurographics/IEEE Symposium on Visualization",
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        "title": "Efficient Reconstruction from Non-uniform Point Sets",
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        "abstract": "We propose a method for non-uniform reconstruction of 3D scalar data. Typically, radial basis functions, trigonometric polynomials or shift-invariant functions are used in the functional approximation of 3D data. We adopt a variational approach for the reconstruction and rendering of 3D data. The principle idea is based on data fitting via thin-plate splines. An approximation by B-splines offers more compact support for fast reconstruction. We adopt this method for large datasets by introducing a block-based reconstruction approach. This makes the method practical for large data sets. Our reconstruction will be smooth across blocks. We give reconstruction measurements as error estimations based on different parameter settings and also an insight on the computational effort. We show that the block size used in reconstruction has a negligible effect on the reconstruction error. Finally we show rendering results to emphasize the quality of this 3D reconstruction technique.",
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        "title": "Face Recognition under Varying Illumination",
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