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Selective surface normal estimation for volume rendering



Three-dimensional volumetric data is discrete by nature. It does not preserve continuous surface. Therefore, to render surfaces realistically, the normal vectors must be predicted before processing the image. During the rendering, if the normals are averaged directly, then the sharp edges are smoothed out as well. In this paper, we show how to avoid over-smoothing problems by analyzing a few neighbor voxels, and selectively averaging the normals to keep details, within a predefined kernel.



Total Pages: 8
Pages: 95-102


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Volume: 23
Issue: 1
Year: 2016

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Bentum M. (1996). Interactive visualization of volume data (Unpublished doctoral dissertation). University of Twente, Netherlands.

Bentum, M.J., B.B.A. Lichtenbelt, and T. Malzbender. "Frequency Analysis of Gradient Estimators in Volume Rendering." IEEE Transactions on Visualization and Computer Graphics 2.3 (1996): 242-254. Crossref. Web.

Bryant, Jack, and Clifford Krumvieda. "Display of Discrete 3D Binary Objects: I—Shading." Computers & Graphics 13.4 (1989): 441-444. Crossref. Web.

Burningham N. Image quality metrics encyclopedia of imaging science and technology

Che, Lih-shyang et al. "Surface Shading in the Cuberille Environment." IEEE Computer Graphics and Applications 5.12 (1985): 33-43. Crossref. Web.

Cohen, Daniel et al. "Real Time Discrete Shading." The Visual Computer 6.1 (1990): 16-27. Crossref. Web.

Çevik, Ulus. "An Automated Perspective-Projected View Module for Pixel-Based CSG Renderers." Intelligent Automation & Soft Computing 14.4 (2008): 417-427. Crossref. Web.

Goldwasser, Samuel M. et al. "Techniques for the Rapid Display and Manipulation of 3-d Biomedical Data." Computerized Medical Imaging and Graphics 12.1 (1988): 1-24. Crossref. Web.

Gordon, Dan, and R. Anthony Reynolds. "Image Space Shading of 3-Dimensional Objects." Computer Vision, Graphics, and Image Processing 29.3 (1985): 361-376. Crossref. Web.

Herman, Gabor T., and Jayaram K. Udupa. "Display Of Three-Dimensional Discrete Surfaces." Ed. Bruce R. Altschuler. Three-Dimensional Machine Perception (1981): n. pag. Crossref. Web.

Hohne, Karl Heinz, and Ralph Bernstein. "Shading 3D-Images from CT Using Gray-Level Gradients." IEEE Transactions on Medical Imaging 5.1 (1986): 45-47. Crossref. Web.

Horn, B.K.P. "Hill Shading and the Reflectance Map." Proceedings of the IEEE 69.1 (1981): 14-47. Crossref. Web.

Jannin, Pierre. "Validation in Medical Image Processing: Methodological Issues for Proper Quantification of Uncertainties." Current Medical Imaging Reviews 8.4 (2012): 322-330. Crossref. Web.

Ježek B. Improved gradient estimation methods for rendering of volume data

Kaufman A. E. Representations of Geometry for Computer Graphics SIGGRAPH’94 Course Notes

Kaufman, Arie E. "Volume Visualization." ACM Computing Surveys 28.1 (1996): 165-167. Crossref. Web.

Kaufman A. E. SIGGRAPH 1997 Course Notes

Kaufman, Arie E. "Volume Visualization in Medicine." Handbook of Medical Imaging (2000): 713-730. Crossref. Web.

Li, Zhilin, and Kazufumi Ito. "The Immersed Interface Method." (2006): n. pag. Crossref. Web.

Li, Bao et al. "Robust Normal Estimation for Point Clouds with Sharp Features." Computers & Graphics 34.2 (2010): 94-106. Crossref. Web.

"Proceedings of the 2000 IEEE Symposium on Volume Visualization - VVS ”00." (2000): n. pag. Crossref. Web.

Möller T. IEEE Visualization Proceedings.

Neumann, László et al. "Gradient Estimation in Volume Data Using 4D Linear Regression." Computer Graphics Forum 19.3 (2000): 351-358. Crossref. Web.

Neumann L. Proceedings of the symposium on Data Visualization

Dohi, Takeyoshi, and Ron Kikinis, eds. "Medical Image Computing and Computer-Assisted Intervention — MICCAI 2002." Lecture Notes in Computer Science (2002): n. pag. Crossref. Web.

Robb, Richard A. "Three-Dimensional Visualization in Medicine and Biology." Handbook of Medical Imaging (2000): 685-712. Crossref. Web.

Schlusselberg D. S. Proceedings of NCGA Conference

Byeong Seok Shin, and Yeong Gil Shin. "Fast Normal Estimation Using Surface Characteristics." Proceedings Visualization ”95 n. pag. Crossref. Web.<91:AID-VIS199>3.0.CO;2-W

Sramek, M., and A.E. Kaufman. "Alias-Free Voxelization of Geometric Objects." IEEE Transactions on Visualization and Computer Graphics 5.3 (1999): 251-267. Crossref. Web.

Vannier, Michael W., Jeffrey L. Marsh, and James O. Warren. "Three Dimensional Computer Graphics for Craniofacial Surgical Planning and Evaluation." Proceedings of the 10th annual conference on Computer graphics and interactive techniques - SIGGRAPH ”83 (1983): n. pag. Crossref. Web.

Wang, G, and M W Vannier. "Stair-Step Artifacts in Three-Dimensional Helical CT: An Experimental Study." Radiology 191.1 (1994): 79-83. Crossref. Web.

Webber, Robert E. "Ray Tracing Voxel Data via Biquadratic Local Surface Interpolation." The Visual Computer 6.1 (1990): 8-15. Crossref. Web.

Winter, A. S. (2002). Volume graphics: Field-based modeling and rendering (Unpublished doctoral dissertation). University of Wales, Swansea.

Yagel, Roni, Daniel Cohen, and Arie Kaufman. "Normal Estimation in 3 D Discrete Space." The Visual Computer 8.5-6 (1992): 278-291. Crossref. Web.

Zhang, Qi, Roy Eagleson, and Terry M. Peters. "Volume Visualization: A Technical Overview with a Focus on Medical Applications." Journal of Digital Imaging 24.4 (2010): 640-664. Crossref. Web.

Zucker, Steven W., and Robert A. Hummel. "A Three-Dimensional Edge Operator." IEEE Transactions on Pattern Analysis and Machine Intelligence PAMI-3.3 (1981): 324-331. Crossref. Web.


ISSN PRINT: 1079-8587
ISSN ONLINE: 2326-005X
DOI PREFIX: 10.31209
10.1080/10798587 with T&F
IMPACT FACTOR: 0.652 (2017/2018)
Journal: 1995-Present


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