Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Alvarez, P.L. Lions, and J.M. Morel. Image selective smoothing and edge detection by nonlinear diffusion. SIAM J. Numer. Anal., 29:845–866, 1992.
E. Angelini, A. Laine, S. Takuma, and S. Homma. Directional representations of 4D echocardiography for temporal quantification of LV volume. In Proc. MICCAI’99, pages 430–440, Cambridge, 1999.
M. Bertram. Fairing scalar fields by variational modeling of contours. In Proc. IEEE Visualiszation 2003, pages 387–392, Seattle, Washington, 2003.
U. Clarenz, U. Diewald, and M. Rumpf. Anisotropic geometric diffusion in surface processing. In Proc. IEEE Visualization 2000, pages 397–405, Salt Lake City, Utah, 2000.
M. Desbrun, M. Meyer, P. Schröder, and A. Barr. Implicit fairing of irregular meshes using diffusion and curvature flow. In Proc. SIGGRAPH 1999, pages 317–324, 1999.
M. Desbrun, M. Meyer, P. Schröder, and A. Barr. Anisotropic feature-preserving denoising of height fields and bivariate data. In Proc. Graphics Interface 2000, pp. 145–152, 2000.
Josiah W. Gibbs. Fourier series. Nature, 59, 1899.
I. Guskov and Z. Wood. Topological noise removal. In Proc. Graphics Interface 2001, pp. 19–26, 2001.
M. Hilton, T. Ogden, D. Hattery, G. F. Eden, and B. Jawerth. Wavelet denoising of functional MRI data. In A. Aldroubi and M. Unser, editors,Wavelets in Biology and Medicine, pp. 93–112. CRC Press, 1996.
D. T. Kuan, A. A. Sawchuk, T. C. Strand, and P. Chavel. Adaptive noise smoothing filter for images with signal-dependent noise. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-7:165–177, 1985.
J. S. Lee. Digital image enhancement and noise filtering by use of local statistics. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-2:165–168, 1980.
Steve Marschner and Richard Lobb. An evaluation of reconstruction filters for volume rendering. In R. D. Bergeron and Arie Kaufman, editors, Proc. IEEE Visualization’ 94, pp. 100–107. IEEE Computer Society Press, October 1994.
Torsten Möller, Raghu Machiraju, Klaus Mueller, and Roni Yagel. A comparison of normal estimation schemes. In Proc. IEEE Visualization’ 97, pp. 19–26, Phoenix, AZ, November 1997.
Torsten Möller, Raghu Machiraju, Klaus Mueller, and Roni Yagel. Evaluation and design of filters using a Taylor series expansion. IEEE Transactions on Visualization and Computer Graphics, 3(2):184–199, April–June 1997. ISSN 1077-2626.
Torsten Möller, Klaus Mueller, Yair Kurzion, Raghu Machiraju, and Roni Yagel. Design of accurate and smooth filters for function and derivative reconstruction. In Proc. IEEE Symposium on Volume Visualization, pp. 143–151, October 1998.
H. P. Moreton and C. H. Sequin. Functional optimization for fair surface design. In Proc. SIGGRAPH’ 92, pp. 167–176, 1992.
L. Neumann, B. Csébfalvi, A. König, and E. Gröller. Gradient estimation in volume data using 4D linear regression. Computer Graphics Forum, 19(3):C351–C357, 2000.
Y. Ohtake, A. G. Belyaev, and I. A. Bogaevski. Polyhedral surface smoothing with simultaneous mesh regularization. In Proc. Geometric Modeling and Processing 2000, pp. 229–237, Hong Kong, 2000.
J. Peng, V. Strela, and D. Zorin. A simple algorithm for surface denoising. In Proc. IEEE Visualiszation 2001, pp. 107–112, San Diego, California, 2001.
Pietro Perona and Jitendra Malik. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7):629–639, July 1990.
M. P. Persoon, I. W. O. Serlie, F. H. Post, and F. M. Vos. Visualization of noisy and biased volume data using first and second order derivative techniques. In Proc. IEEE Visualiszation 2003, pp. 379–385, Seattle, Washington, 2003.
David Rodgman and Min Chen. Refraction in discrete raytracing. In Klaus Mueller and Arie Kaufman, editors, Proc. Volume Graphics 2001, New York, 2001. Springer. ISBN 3-211-83737-X.
C. Rössl, F. Zeilfelder, G. Nürnberger, and H.-P. Seidel. Visualization of volume data with quadratic super splines. In Proc. IEEE Visualiszation 2003, pp. 393–400, Seattle, Washington, 2003.
G. Sapiro. Geometric Partial Differential Equations and Image Analysis. Cambridge University Press, 2001.
T. Tasdizen, R. Whitaker, P. Burchard, and S. Osher. Geometric surface smoothing via anisotropic diffusion of normals. In Proc. IEEE Visualiszation 2002, pp. 125–132, Boston, Massachusetts, 2002.
Thomas Theußl. Sampling and Reconstruction in Volume Visualization. PhD thesis, Vienna University of Technology, 2000.
Joachim Weickert. A review of nonlinear diffusion filtering. In Scale-Space Theories in Computer Vision, pp. 3–28, 1997.
Joachim Weickert. Anisotropic Diffusion in Image Processing. ECMI Series, Teubner, Stuttgart, 1998.
W. Welch and A. Witkin. Free-form shape design using triangulated surfaces. In Proc. SIGGRAPH’ 94, pp. 247–256, 1994.
R. T. Whitaker. Volumetric deformable models: active blobs. In R. A. Robb, editor, Proc. Visualization in Biomedical Computing, SPIE, 1994.
Andrew S. Winter and Min Chen. vlib: A volume graphics API. In Proc. Volume Graphics 2001, pp. 133–147, New York, 2001. Springer.
Roni Yagel, Daniel Cohen, and Arie Kaufman. Normal estimation in 3D discrete space. The Visual Computer, pp. 278–291, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Rodgman, D., Chen, M. (2006). Volume Denoising for Visualizing Refraction. In: Bonneau, GP., Ertl, T., Nielson, G.M. (eds) Scientific Visualization: The Visual Extraction of Knowledge from Data. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30790-7_11
Download citation
DOI: https://doi.org/10.1007/3-540-30790-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26066-0
Online ISBN: 978-3-540-30790-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)