Frequency domain volume rendering by the wavelet X-ray transform

M.A. Westenberg; J.B.T.M. Roerdink

doi:10.1109/83.847837

Frequency domain volume rendering by the wavelet X-ray transform

M.A. Westenberg
, J.B.T.M. Roerdink

Research output: Contribution to journal › Article › Academic › peer-review

33 Citations (Scopus)

Abstract

We describe a wavelet based X-ray rendering method in the frequency domain with a smaller time complexity than wavelet splatting. Standard Fourier volume rendering is summarized and interpolation and accuracy issues are briefly discussed. We review the implementation of the fast wavelet transform in the frequency domain. The wavelet X-ray transform is derived, and the corresponding Fourier-wavelet volume rendering algorithm (FWVR) is introduced, FWVR uses Haar or B-spline wavelets and linear or cubic spline interpolation. Various combinations are tested and compared with wavelet splatting (WS). We use medical MR and CT scan data, as well as a 3-D analytical phantom to assess the accuracy, time complexity, and memory cost of both FWVR and WS. The differences between both methods are enumerated

Original language	English
Pages (from-to)	1249-1261
Journal	IEEE Transactions on Image Processing
Volume	9
Issue number	7
DOIs	https://doi.org/10.1109/83.847837
Publication status	Published - 2000

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10.1109/83.847837

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Frequency domain volume rendering by the wavelet X-ray transform

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