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        "title": "Volume Analysis Using Multimodal Surface Similarity",
        "date": "2011-10",
        "abstract": "The combination of volume data acquired by multiple modalities has been recognized as an important but challenging\r\ntask. Modalities often differ in the structures they can delineate and their joint information can be used to extend the classification\r\nspace. However, they frequently exhibit differing types of artifacts which makes the process of exploiting the additional information\r\nnon-trivial. In this paper, we present a framework based on an information-theoretic measure of isosurface similarity between different\r\nmodalities to overcome these problems. The resulting similarity space provides a concise overview of the differences between the\r\ntwo modalities, and also serves as the basis for an improved selection of features. Multimodal classification is expressed in terms of\r\nsimilarities and dissimilarities between the isosurfaces of individual modalities, instead of data value combinations. We demonstrate\r\nthat our approach can be used to robustly extract features in applications such as dual energy computed tomography of parts in\r\nindustrial manufacturing.",
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        "id": "haidacher-2011-phd",
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        "title": "Information-based Feature Enhancement in Scientific Visualization",
        "date": "2011",
        "abstract": "Scientific visualization is a research area which gives insight into volumetric data acquired through measurement or simulation. The visualization allows a faster and more intuitive exploration of the data.\r\n\r\nDue to the rapid development in hardware for the measurement and simulation of scientific data, the size and complexity of data is constantly increasing. This has the benefit that it is possible to get a more accurate insight into the measured or simulated phenomena. A drawback of the increasing data size and complexity is the problem of generating an expressive representation of the data.\r\n\r\nSince only certain parts of the data are necessary to make a decision, it is possible to mask parts of the data along the visualization pipeline to enhance only those parts which are important in the visualization. For the masking various properties are extracted from the data which are used to classify a part as important or not. In general a transfer function is used for this classification process which has to be designed by the user.\r\n\r\nIn this thesis three novel approaches are presented which use methods from information theory and statistics to enhance features from the data in the classification process that are important for a certain task. With the tools of information theory and statistics it is possible to extract properties from the data which are able to classify different materials or tissues in the data better than comparable other approaches.\r\n\r\nOne approach adaptively extracts statistical properties, i.e. the mean value and the standard deviation, of the data values in the local neighborhood of each point in the data set. With these statistical properties it is possible to better distinguish between different materials in a data set even though the data is very noisy.\r\n\r\nThe other two approaches in this thesis employ methods from information theory to extract features from multimodal data sets. Thus it is possible to enhance features of the data which are either very similar or very dissimilar in both modalities. Through information theory the variations in the value ranges of both modalities do not influence the classification of these features.\r\n\r\nAll three approaches define novel transfer-function spaces which simplify the design process of a transfer function for the user. Different features of the data, such as different materials, can be clearly depicted in these spaces. Therefore, it is easier for a user to design a transfer function which enhances the features of importance for a certain task.\r\n\r\nFor each of the new approaches results and comparisons to other existing techniques are shown to highlight the usefulness of the proposed methods. Through the described research it is shown that information theory and statistics are tools which are able to extract expressive properties from the data.\r\n\r\nIn the introduction a broad overview over scientific visualization and the visualization pipeline is given. The classification process is described in more detail. Since information theory and statistics play an important role for all three approaches, a brief introduction to these concepts is given as well.",
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        "date_end": "2011-06",
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        "abstract": "It is a difficult task to design transfer functions for noisy data. In traditional transfer-function spaces, data values of different materials overlap. In this paper we introduce a novel statistical transfer-function space which in the presence of noise, separates different materials in volume data sets. Our method adaptively estimates statistical properties, i.e. the mean value and the standard deviation, of the data values in the neighborhood of each sample point. These properties are used to define a transfer-function space which enables the distinction of different materials. Additionally, we present a novel approach for interacting with our new transfer-function space which enables the design of transfer functions based on statistical properties. Furthermore, we demonstrate that statistical information can be applied to enhance visual appearance in the rendering process. We compare the new method with 1D, 2D, and LH transfer functions to demonstrate its usefulness.",
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        "title": "Moment Curves",
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        "abstract": "We define a transfer function based on the first and second statistical\r\nmoments. We consider the evolution of the mean and variance with\r\nrespect to a growing neighborhood around a voxel. This evolution\r\ndefines a curve in 3D for which we identify important trends and\r\nproject it back to 2D. The resulting 2D projection can be brushed\r\nfor easy and robust classification of materials and material borders.\r\nThe transfer function is applied to both CT and MR data.",
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        "title": "Information-based Transfer Functions for Multimodal Visualization",
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        "abstract": "Transfer functions are an essential part of volume visualization. In multimodal visualization at least two values\r\nexist at every sample point. Additionally, other parameters, such as gradient magnitude, are often retrieved for\r\neach sample point. To find a good transfer function for this high number of parameters is challenging because of\r\nthe complexity of this task. In this paper we present a general information-based approach for transfer function\r\ndesign in multimodal visualization which is independent of the used modality types. Based on information theory,\r\nthe complex multi-dimensional transfer function space is fused to allow utilization of a well-known 2D transfer\r\nfunction with a single value and gradient magnitude as parameters. Additionally, a quantity is introduced which\r\nenables better separation of regions with complementary information. The benefit of the new method in contrast to\r\nother techniques is a transfer function space which is easy to understand and which provides a better separation\r\nof different tissues. The usability of the new approach is shown on examples of different modalities.",
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