Transfer function design for Fourier volume rendering and implementation using GPU

Chang-Chieh Cheng; Yu-Tai Ching

doi:10.1117/12.768949

17 March 2008 Transfer function design for Fourier volume rendering and implementation using GPU

Chang-Chieh Cheng, Yu-Tai Ching

Proceedings Volume 6918, Medical Imaging 2008: Visualization, Image-Guided Procedures, and Modeling; 691806 (2008) https://doi.org/10.1117/12.768949
Event: Medical Imaging, 2008, San Diego, California, United States

Abstract

Volume rendering is a technique for volume visualization. Given a set of N × N × N volume data, the traditional volume rendering methods generally need O(N³) rendering time. The FVR (Fourier Volume Rendering), that takes advantage of the Fourier slice theorem, takes O(N²log N) rendering time once the Fourier Transform of the volume data is available. Thus the FVR is favor to designing a real-time rendering algorithm with a preprocessing step. But the FVR has a disadvantage that resampling in the frequency domain causes artifacts in the spatial domain. Another problem is that the method for designing a transfer function is not obvious. In this paper, we report that by using the spatial domain zero-padding and tri-linear filtering can reduce the artifacts to an acceptable rendered image quality in spatial domain. To design the transfer function, we present a method that the user can define a transfer function by using a Bezier curve first. Based on the linear combination property of the Fourier transform and Bezier curve equation, the volume rendered result can be obtained by adding the weighted frequency domain signals. That mean, once a transfer function is given, we don't have to recompute the Fourier transform of the volume data after the transfer function applied. This technique makes real-time adjustment of transfer function possible.

Citation Download Citation

Chang-Chieh Cheng and Yu-Tai Ching "Transfer function design for Fourier volume rendering and implementation using GPU", Proc. SPIE 6918, Medical Imaging 2008: Visualization, Image-Guided Procedures, and Modeling, 691806 (17 March 2008); https://doi.org/10.1117/12.768949

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