Balázs Domonkos

Learn More
In this paper, a pass-band optimal reconstruction technique is adapted to the Body-Centered Cubic (BCC) lattice. In order to perform the frequencydomain 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 FaceCentered Cubic (FCC)(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 realtime 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 positron emission tomography (PET), photon scattering inside the body causes significant blurring and quantification 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 into(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)
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)
The efficient and high quality rendering of complex road networks—given as vector data—and high-resolution digital elevation models (DEMs) poses a significant problem in 3D geographic information systems. As in paper maps, a cartographic representation of roads with rounded caps and accentuated clearly distinguishable colors is desirable. On the other hand,(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)
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)