Balázs Domonkos

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In this paper, a pass-band optimal reconstruction technique is adapted to the Body-Centered Cubic (BCC) lattice. In order to perform the frequency-domain preprocessing, we derive a practical Discrete Fourier Transform (DFT) for BCC-sampled data. In the discrete frequency domain our DFT provides a natural isotropic periodicity on a Face-Centered Cubic (FCC)(More)
—In positron emission tomography (PET), photon scattering inside the body causes significant blurring and quan-tification error in the reconstructed images. To solve this problem we have developed Monte Carlo (MC) based 3D PET reconstruction algorithms implemented on the Graphics Processing Unit (GPU). Our implementation takes multiple Compton scattering(More)
The quality of images generated by volume rendering strongly depends on the applied continuous reconstruction method. Recently, it has been shown that the reconstruction of the underlying function can be improved by a discrete prefiltering. In volume rendering, however, an accurate gradient reconstruction also plays an important role as it provides the(More)
In volume-rendering applications, an appropriate resampling filter can be chosen by making a compromise between quality and efficiency. For real-time volume visualization, usually the trilinear filter is used, since its evaluation is directly supported by the recent GPUs. Although higher-order filters (e.g. quadratic or cubic filters) ensure much higher(More)
—In this paper, we present different approaches to the efficient handling of gamma interaction within the detector crystal matrix for ML-EM-based 3D reconstruction algorithms for positron emission tomography (PET). Geometric calculations as well as approximation of inter-crystal scattering in the forward and in the back-projection are calculated on-the-fly(More)
In this paper the GPU implementation of a real-time isosurface volume-rendering system is described in detail, which aims at autostereoscopic displays. Since autostereoscopic displays provide images for many views, and thus require different camera settings in each pixel, and even in the three color channels of a pixel, naive rendering approaches would slow(More)
In this paper, we thoroughly study a trilinear interpolation scheme previously proposed for the Body-Centered Cubic (BCC) lattice. We think that, up to now, this technique has not received the attention that it deserves. By a frequency-domain analysis we show that it can isotropically suppress those aliasing spectra that contribute most to the postaliasing(More)
Recently, it has been demonstrated that the optimality of the Body-Centered Cubic (BCC) lattice can be utilized also in practice by using either non-separable box-spline filters or tensor-product B-spline filters for reconstructing an originally continuous signal from its discrete BCC-sampled representation. In order to study the frequency-domain behavior(More)
An international journal of algorithms, data structures and techniques for computer graphics and visualization, surface meshing and modeling, global illumination, computer vision, image processing and pattern recognition, computational geometry, visual human interaction and virtual reality, animation, multimedia systems and applications in parallel,(More)