Evaluation and design of filters using a taylor series expansion

IEEE Transactions on Visualization and Computer Graphics

Volumn 3, Issue 2, 1997, Pages 184-199

  Möller, Torsten ^a   Machiraj, Raghu ^a   Mueller, Klaus ^a   Yagel, Roni ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Cubic filters; Derivative filters; Filter design; Gradient estimation; Interpolation filters; Normal estimation; Normalization of filters; Taylor series expansion; Volume rendering

Indexed keywords

ALGORITHMS; ESTIMATION; FUNCTIONS; IMAGE QUALITY; NUMERICAL METHODS;

CUBIC FILTERS; DERIVATIVE FILTERS; FILTER DESIGN; GRADIENT ESTIMATION; INTERPOLATION FILTERS; NORMAL ESTIMATION; NORMALIZATION OF FILTERS; TAYLOR SERIES EXPANSION; VOLUME RENDERING;

COMPUTER GRAPHICS;

EID: 0031118495     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/2945.597800     Document Type: Article

References (18)

1. MJ. Bentum, T. Malzbender, and B.B. Lichtenbelt, "Frequency Analysis of Gradient Estimators in Volume Rendering," IEEE Trans. Visualization and Computer Graphics, vol. 2, no. 3, pp. 242-254, Sept. 1996.
2. R.N. Bracewell, Two Dimensional Imaging. Englewoods Cliffs, N.J.: Prentice Hall, 1995.
3. I. Daubechies, "Ten Lectures on Wavelets," Proc. CBMS-NSF Regional Conf., SIAM, Philadelphia, 1992.
4. G. Deslauriers and S. Dubuc, "Symmetric Iterative Interpolation Processes," Constructive Approximation, vol. 5, no. 1, pp. 49-68,1989.
5. R.A. Drebin, L. Carpenter, and P. Hanrahan, "Volume Rendering," Computer Graphics, vol. 22, no. 4, pp. 51-58, Aug.. 1988.
6. S.C. Dutta Roy and B. Kumar, "Digital Differentiators," Handbook of Statistics, N.K. Bise and C.R. Rao, eds., vol. 10, pp. 159-205, 1993.
7. J.D. Foley, A. van Dam, S.K. Feiner, and J.F. Hughes, Computer Graphics, Principles and Practice, second edition. Reading, Mass.: Addison-Wesley, 1990.
8. M.E. GOSS, "An Adjustable Gradient Filter for Volume Visualization Image Enhancement," Proc. Graphics Interface '94, pp. 67-74, Toronto, Ont., 1994.
9. R.G. Keys, "Cubic Convolution Interpolation for Digital Image Processing," IEEE Trans. Acoustics, Speech, and Signal Processing, vol. 29, no. 6, pp. 1,153-1,160, Dec. 1981.
10. M. Levoy, "Display of Surfaces from Volume Data," IEEE Computer Graphics and Applications, vol. 8, no. 5, pp. 29-37, May 1988.
11. R.K. Machiraju and R. Yagel, "Reconstruction Error Characterization and Control: A Sampling Theory Approach," IEEE Trans. Visualization and Computer Graphics, vol. 2, no. 4, pp. 364-376, Dec. 1996.
12. J.L. Mannos and D.J. Sakrison, "The Effects of a Visual Fidelity Criterion on the Encoding of Images," IEEE Trans. Information Theory, vol. 20, no. 3, pp. 525-536, July 1974.
13. S.R. Marschner and R.J. Lobb, "An Evaluation of Reconstruction Filters for Volume Rendering," Proc. Visualization '94, pp. 100107, IEEE CS Press, Oct. 1994.
14. D.P. Mitchell and A.N. Netravali, "Reconstruction Filters in Computer Graphics," Computer Graphics, vol. 22, no. 4, pp. 221228, Aug.. 1988.
15. T. Möller, R.K. Machiraju, K. Mueller, and R. Yagel, "Classification and Local Error Estimation of Interpolation and Derivative Filters for Volume Rendering," Proc. 1996 Symp. Volume Visualization, pp. 71-78, Oct. 1996.
16. S.K. Park and R.A. Schowengerdt, "Image Reconstruction by Parametric Cubic Convolution," Computer Vision, Graphics, and Image Processing, vol. 23, pp. 258-272,1983.
17. J.A. Parker, R.V. Kenyon, and D.E. Troxel, "Comparison of Interpolating Methods for Image Resampling," IEEE Trans. Medical Imaging, vol. 2, no. 1, pp. 31-39, Mar. 1983.
18. A. Savitzky and M.J.E. Golay, "Analytical Chemistry," vol. 36, pp. 1,627-1,639,1964.