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        "abstract": "Volume rendering techniques are conventionally classified as either direct or indirect methods. Indirect\r\nmethods require to transform the initial volumetric model into an\r\nintermediate geometrical model in order to efficiently visualize it.\r\nIn contrast, direct volume rendering (DVR) methods can directly\r\nprocess the volumetric data. Modern CT scanners usually provide data as a set of samples on a rectilinear\r\ngrid, which is computed from the measured projections by discrete tomographic reconstruction. Therefore the rectilinear grid can already be considered as an intermediate volume representation. In this paper we introduce direct direct volume rendering (D²VR). D²VR does not require a rectilinear grid, since it is based on an immediate\r\nprocessing of the measured projections. Arbitrary samples for ray\r\ncasting are reconstructed from the projections by using the Filtered\r\nBack-Projection algorithm. Our method removes a lossy resampling step from the classical volume rendering pipeline.\r\nIt provides much higher accuracy than traditional grid-based\r\nresampling techniques do. Furthermore we also present a novel\r\nhigh-quality gradient estimation scheme, which is also based on the\r\nFiltered Back-Projection algorithm.",
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        "title": "MammoExplorer: An Advanced CAD Application for Breast DCE-MRI",
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        "abstract": "Currently X-ray mammography is the most widely used method for early detection of breast cancer. However, the use of Dynamic Contrast Enhanced\r\nMRI (DCE-MRI) has gained wider attention, since it considerably improves tumor detection and classification by analyzing the flow of contrast agent within the breast tissue. In this paper we present MammoExplorer, a CAD application that combines advanced interaction, segmentation and visualization techniques to explore Breast DCE-MRI data. Our application uses Brushing and Linking, Two-level Volume Rendering, Importance-driven Volume Rendering, and False Color Maps. In addition, we present Enhancement\r\nScatterplots, a novel graphical representation of DCE-MRI data, novel segmentation approaches, and a new way to explore time-varying CE-MRI\r\ndata.",
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        "title": "A Refined Data Addressing and Processing Scheme to Accelerate Volume Raycasting",
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        "abstract": "Most CPU-based volume raycasting approaches achieve high performance by advanced memory layouts, space subdivision, and excessive pre-computing. Such approaches typically need an enormous amount of memory. They are limited to sizes which do not satisfy the medical data used in daily clinical routine. We present a new volume raycasting approach based on image-ordered raycasting with object-ordered processing, which is able to perform high-quality rendering of very large medical data in real-time on commodity computers. For large medical data such as computed tomographic (CT) angiography run-offs (512x512x1202) we achieve rendering times up to 2.5 fps on a commodity notebook. We achieve this by introducing a memory efficient acceleration technique for on-the-fly gradient estimation and a memory efficient hybrid removal and skipping technique of transparent regions. We employ quantized binary histograms, granular resolution octrees, and a cell invisibility cache. These acceleration structures require just a small extra storage of approximately 10%. ",
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        "title": "VOTS: VOlume doTS as a Point-Based Representation of Volumetric Data",
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        "abstract": "We present Volume dots (Vots), a new primitive for volumetric data modelling, processing, and rendering. Vots\r\nare a point-based representation of volumetric data. An individual Vot is specified by the coefficients of a Taylor\r\nseries expansion, i.e. the function value and higher order derivatives at a specific point. A Vot does not only\r\nrepresent a single sample point, it represents the underlying function within a region. With the Vots representation\r\nwe have a more intuitive and high-level description of the volume data. This allows direct analytical examination\r\nand manipulation of volumetric datasets. Vots enable the representation of the underlying scalar function with\r\nspecified precision. User-centric importance sampling is also possible, i.e., unimportant volume parts are still\r\npresent but represented with just very few Vots. As proof of concept, we show Maximum Intensity Projection based\r\non Vots.",
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        "title": "Parallel Peeling of Curvilinear Grids",
        "date": "2004-04",
        "abstract": "In this paper we present a novel hybrid CPU-GPU approach for rendering\r\ncurvilinear grids. Visibility sorting is accomplished by parallel\r\npeeling cells off the grid, utilizing an active cell peeling front. In\r\neach step, we compute the ray-cell intersection coordinates on the\r\nGPU, perform accurate volume integration (CPU), and determine\r\nthe set of active cells for the next iteration (GPU). The approach\r\nrequires only standard graphics capabilities and can therefore be\r\nused on any commodity PC, including laptops. Furthermore, the\r\nmain memory requirements are negligible since the required data\r\nstructures are minimal.\r\nThe main advantage of our algorithm is that we exploit hardware\r\nacceleration for the expensive visibility sorting which is bene-\r\nficial over time due to the faster performance increase of GPUs over\r\nCPUs. Due to the simplicity of the algorithm and its low requirements\r\non preprocessing and main memory, it is well suited for thin\r\nclients. Last but not least, the approach could easily be extended to\r\nirregular grids using tetrahedra.",
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