Frequency Domain Volume Rendering Based on Wavelet Transformation

  • Ailing Ding
  • Qinwu Zhou
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4222)


A new Fourier-wavelet volume rendering algorithm (FWVR) in frequency domain is presented and corresponding preprocessing is given in this paper. After the wavelet transforming and obtaining slice plane, FWVR finish the volume rendering image with a wavelet-based X-ray rending method in the frequency domain. FWVR comprises and unifies the advantages of recently introduced Fourier domain volume rendering techniques and wavelet based volume rendering. For the algorithm is based on the CT imaging and wavelet transformation, the time complexity of this method is O(N 2logN) which is reduced apparently. Experiment of medicine volume data shows that this method is efficient. Finally, the potential application of FWVR is introduced in network rendering for saving transmission time.


Frequency Domain Time Complexity Wavelet Transformation Inverse Fourier Transform Wavelet Decomposition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Keppel, E.: Approximating complex surfaces by triangulation of contour lines. IBM Journal of Research Development 1, 2–11 (1975)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Lorensen, W., Cline, H.E.: Marching Cubes: A high resolution 3D surface construction algorithm. Computer Graphics 4, 163–169 (1987)CrossRefGoogle Scholar
  3. 3.
    Levoy, M.: Volume Rendering: Display of surfaces from volume data. IEEE Computer Graphics & Application 5, 29–37 (1998)Google Scholar
  4. 4.
    Zuidwijk, R.A.: The wavelet X-ray transform. Centre Math. Computer. Sci., Amsterdam, The Netherlands, Tech. Rep. PNA-R9703 (March 1997)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ailing Ding
    • 1
    • 2
  • Qinwu Zhou
    • 3
  1. 1.Institute of Intelligence Information ProcessingXidian UniversityXi’anChina
  2. 2.School of Information EngineeringChang’an UniversityXi’anChina
  3. 3.School of Life Science and TechnologyXi’an Jiaotong UniversityXi’anChina

Personalised recommendations