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標題: 極座標之傅立葉體積成像
Polar-Coordinate Fourier Volume Rendering
作者: 李懷哲
Li, Huai-Che
關鍵字: Volume Rendering;體積成像;Fourier Volume Rendering;Polar Coordinate;傅立葉體積成像;極坐標
出版社: 電機工程學系所
引用: (1) Books [1] Randy Crane, Shaz Naqvi, “Introduction to Volume Rendering”, ISBN 0-13-861683-3. [2] Dave Shreiner, Mason Woo, Jackie Neider, Tom Davis, “OpenGL Programming Guide”, Fourth Edition, ISBN 0-321-17348-1. [3] Alan V. Oppenheim, Ronald W. Schafer with John R. Buck, “Discrete-Time Signal Processing”, Second Edition, ISBN 0-13-083443-2 (2) Journal Articles [1] Tom Malzbender, “Fourier Volume Rendering”, ACM Transactions on Graphics, Vol. 12, No. 3, July 1993, Pages 233-250, [2] Takashi Totsuka, Marc Levoy, “Frequency Domain Volume Rendering”, ACM-0-89791-601-8/93/008. [3] Alireza Entenzari, et al., “Shading For Fourier Volume Rendering”, IEEE 0-7803-7641-2/02. [4] Mark J. Bentum, “Frequency Analysis of Gradient Estimators in Volume Rendering”, IEEE Transactions on visualization and computer graphics, VOL. 2, NO. 3, September 1996. [5] Ronald N. Bracewell, Oscar Buneman, Hong Hao, and J. Villasenor, “Fast Two-Dimensional Hartley Transform”, Proceedings of the IEEE, 74:1282-1283, 1986. (3) Electronic Resources [1] Thomas Theuβl, Robert F. Tobler and Eduard Gröller, “The Multi-Dimensional Hartley Transform as a Basis for Volume Rendering”, see (4) Others Volumetric Data sources: CT Head: Stanford Volume Data Archive, Head MRT Angiography:, CT Engine:, Hydrogen Atom:,
高解析度體積成像的需求隨著現代電腦科技的進步而日益增加,要如何有效處理巨大的體積資料在體積成像的技術中成為一個重要的議題。傅立葉體積成像(Fourier Volume Rendering)相對於直接體積成像,如Ray-Casting… 有著優越的運算優勢,適合用來快速產生體積資料的投影影像。本篇論文提出了一種新的傅立葉體積成像演算法,這個方法建立於極坐標上,並且能夠快速產生高品質的體積影像。
我們的演算法將傅立葉體積成像中處理空間資料的座標由卡氏座標(Cartesian Coordinate)轉為極坐標(Polar Coordinate)格式,利用這個方式,繁複的體積成像運算可以部份的被分攤到前置處理中,體積的頻譜資料也可以利用與頻譜能量分佈相近的極坐標格式來儲存。
在本篇論文中,我們實做了傳統FVR演算法以及我們的Polar FVR演算法來進行比較。在實驗的結果中我們可以看出,Polar FVR演算法可以以較佳的成像速度提供高品質的體積投影。

The requirement of high resolution volume visualization is rapidly increasing with the development of modern computer technology. How to handle large volumetric dataset effectively becomes a major problem in volume rendering techniques. Fourier volume rendering (FVR) shows great computational advantages then Ray-casting volume rendering algorithm that suitable for generating projection image of volume dataset interactively.
In this work, we present a novel FVR algorithm based on polar coordinate for rendering volume dataset with both high speed and high image quality. Our method processes volumetric spectrum in polar coordinate instead the Cartesian coordinate in traditional FVR algorithm. By this way, the heavy computation can be leaved into pre-processing step and spectrum data can be stored into spectrum-liked data structure.
In this paper, we implement both traditional FVR method and our Polar approach for comparison. In our experiment, polar approach can produce high-quality images with high rendering speed.
其他識別: U0005-1207200623043200
Appears in Collections:電機工程學系所

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