Title: The Multi-Dimensional Hartley Transform as a Basis for Volume Rendering
Authors: Theußl, Thomas
Tobler, Robert F.
Gröller, Eduard
Citation: WSCG '2000: Conference proceeding: The 8th International Conference in Central Europe on Computers Graphics, Visualization and Interaktive Digital Media '2000 in cooperation with EUROGRAPHICS and IFIP WG 5.10: University of West Bohemia, Plzen, Czech republic, February 7 - 10, 2000, p. 132-139.
Issue Date: 2000
Publisher: University of West Bohemia
Document type: conferenceObject
konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2000/Papers_2000/W11.pdf.gz
http://hdl.handle.net/11025/15447
ISBN: 80-7082-612-6
Keywords: Hartleyova transformace;Fourierova transformace;objemové vykreslování
Keywords in different language: Hartley transform;Fourier transform;volume rendering
Abstract: The Fast Hartley Transform (FHT), a discrete version of the Hartley Transform (HT), has been studied in various papers and shown to be faster and more convenient to implement and handle than the corresponding Fast Fourier Transform (FFT). As the HT is not as nicely separable as the Fourier Transform (FT), a multidimensional version of the HT needs to perform a final correction step to convert the result of separate HTs for each dimension into the final multi-dimensional transform. Although there exist algorithms for two and three dimensions, no generalization to arbitrary dimensions can be found in the literature. We demonstrate an easily comprehensible and efficient implementation of the fast HT and its multi-dimensional extension. By adapting this algorithm to volume rendering by the projection-slice theorem and by the use for filter analysis in frequency domain we further demonstrate the importance of the HT in this application area.
Rights: © University of West Bohemia
Appears in Collections:WSCG '2000: Conference proceeding

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