Noise-resistant fitting for spherical harmonics

IEEE Transactions on Visualization and Computer Graphics

Volumn 12, Issue 2, 2006, Pages 254-265

  Lam, Ping Man ^a,b   Leung, Chi Sing ^a,b   Wong, Tien Tsin ^a,c  

^a IEEE   (Hong Kong)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^c CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

BRDF; Constrained least Square; Image based relighting; Noise resistant fitting; Precomputed radiance transfer; Spherical harmonics; Texture compression

Indexed keywords

BRDF; CONSTRAINED LEAST SQUARE; IMAGE-BASED RELIGHTING; NOISE RESISTANT FITTING; PRECOMPUTED RADIANCE TRANSFER; SPHERICAL HARMONIC (SH); SPHERICAL HARMONICS; TEXTURE COMPRESSION;

ESTIMATION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; NOISE ABATEMENT; PROCESS CONTROL; STATISTICAL METHODS; THEOREM PROVING;

ILLUMINATING ENGINEERING;

ALGORITHM; ARTICLE; ARTIFACT; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER INTERFACE; EVALUATION; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; MATHEMATICAL COMPUTING; METHODOLOGY; SIGNAL PROCESSING; STATISTICS; THREE DIMENSIONAL IMAGING;

ALGORITHMS; ARTIFACTS; COMPUTER GRAPHICS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; SIGNAL PROCESSING, COMPUTER-ASSISTED; STOCHASTIC PROCESSES; USER-COMPUTER INTERFACE;

EID: 31344431863     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2006.34     Document Type: Conference Paper

References (37)

1. T. Macrobert, Spherical Harmonics: An Elementary Treatise on Harmonic Functions with Applications. Dover Publications, 1948.
2. R. Courant and D. Hilbert, Methods of Mathematical Physics. New York: Interscience Publisher, Inc., 1953.
3. K.F. Evans, "The Spherical Harmonics Discrete Ordinate Method for Three-Dimensional Atmospheric Radiative Transfer," J. Atmospheric Sciences, vol. 55, pp. 429-446, 1998.
4. B. Cabral, N. Max, and R. Springmeyer, "Bidirectional Reflection Functions from Surface Bump Maps," SIGGRAPH '87 Proc., vol. 21, pp. 273-281, July 1987.
5. F.X. Sillion, J.R. Arvo, S.H. Westin, and D.P. Greenberg, "A Global Illumination Solution for General Reflectance Distributions," SIGGRAPH '91 Proc., vol. 25, pp. 187-196, July 1991.
6. R. Ramamoorthi and P. Hanrahan, "Frequency Space Environment Map Rendering," ACM Trans. Graphics, vol. 21, pp. 517-526, 2002.
7. J. Kautz, P. Sloan, and J. Snyder, "Fast, Arbitrary BRDF Shading for Low-Frequency Lighting Using Spherical Harmonics," Proc. 13th Eurographics Workshop Rendering, pp. 291-297, 2002.
8. T.-T. Wong, P.-A. Heng, S.-H. Or, and W.-Y. Nig, "Image-Based Rendering with Controllable Illumination," Proc. Eighth Eurographics Workshop Rendering (Rendering Techniques'97), pp. 13-22, June 1997.
9. T.-T. Wong, C.W. Fu, P.-A. Heng, and C.-S. Leung, "The Plenoptic Illumination Function," IEEE Trans. Multimedia, vol. 3, pp. 361-371, 2003.
10. P. Sloan, J. Kautz, and J. Snyder, "Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environments," ACM Trans. Graphics, pp. 527-536, 2002.
11. P. Sloan, J. Hall, J. Hart, and J. Snyder, "Clustered Principal Components for Precomputed Radiance Transfer," ACM Trans. Graphics, vol. 22, pp. 382-391, 2003.
12. P. Sloan, X. Liu, H.Y. Shum, and J. Snyder, "Bi-Scale Radiance Transfer," ACM Trans. Graphics, vol. 22, pp. 370-375, 2003.
13. T.-T. Wong and C.-S. Leung, "Compression of Illumination-Adjustable Images," IEEE Trans. Circuits and Systems for Video Technology, vol. 13, pp. 1107-1118, 2003.
14. P.-M. Ho, T.-T. Wong, and C.-S. Leung, "Compressing the Illumination-Adjustable Images with Principal Component Analysis," IEEE Trans. Circuits and Systems for Video Technology, vol. 15, no. 3, pp. 355-364, Mar. 2005.
15. Microsoft DirectX 9.0, http://msdn.microsoft.com/library/default.asp?url= /library/en-us/directx9_c/directx/graphics/programmigguide/advancedtopics/prt/ prt.asp, 2004.
16. S. Westin, J. Arvo, and K. Torrance, "Predicting Reflectance Functions from Complex Surfaces," Computer Graphics (SIGGRAPH '92 Proc.,) pp. 255-264, 1992.
17. P. Gautron, J. Krivanek, S. Pattanaik, and K. Bouatouch, "A Novel Hemispherical Basis for Accurate and Efficient Rendering," Proc. Eurographics Symp. Rendering, 2004.
18. R. Ramamoorthi, "Analytic PCA Construction for Theoretical Analysis of Lighting Variability, Including Attached Shadows, in a Single Image of a Convex Lambertian Object," IEEE Trans. Pattern Analysis and Machine Intelligence, pp. 1322-1333, 2003.
19. K. Gorski, "On Determining the Spectrum of Primordial Inhomogeneity from the Cobe DMR Sky Maps I. Method," Astrophysical J., vol. 430, pp. L85-L88 (ApJ Homepage), 1994.
20. I.T. Jolliffe, Principal Component Analysis. New York: Springer-Verlag, 2002.
21. J.M. Shapiro, "Embedded Image Coding Using Zerotree of Wavelet Coefficients," IEEE Trans. Signal Processing, vol. 41, pp. 3445-3462, 1993.
22. A. Said and W.A. Pealman, "A New Fast and Efficient Image Codec Based on Set Partition in Hierarchical Trees," IEEE Trans. Circuits and Systems for Video Technology, vol. 6, pp. 243-250, 1996.
23. T.-T. Wong, C.W. Fu, and P.-A. Heng, "Interactive Relighting of Panoramas," IEEE Computer Graphics and Applications, vol. 21, pp. 32-41, 2001.
24. J.T. Kajiya, "The Rendering Equation," Computer Graphics (SIGGRAPH '86 Proc.,) pp. 143-150, 1986.
25. J.F. Murray-Coleman and A.M. Smith, "The Automated Measurement of BRDFs and Their Application to Luminaire Modeling," J. Illuminating Eng. Soc., pp. 87-99, 1990.
26. S.R. Marschner, S.H. Westin, E.P.F. Lafortune, K.E. Torrance, and D.P. Greenberg, "Image-Based BRDF Measurement Including Human Skin," Proc. 10th Eurographics Workshop Rendering, pp. 139-152, June 1999.
27. T.A. Moller and E. Haines, Real-Time Rendering. A.K. Peters, 2003.
28. N.S. Jayant and P. Noll, Digital Coding of Waveforms. Englewood Cliffs, N.J.: Prentice-Hall, 1984.
29. P.H. Christensen, E.J. Stollnitz, D.H. Salesin, and T.D. DeRose, "Global Illumination of Glossy Environments Using Wavelets and Importance," ACM Trans. Graphics, vol. 15, no. 1, pp. 37-71, Jan. 1996.
30. A. Certain, J. Popovic, T. DeRose, T. Duchamp, D.H. Salesin, and W. Stuetzle, "Interactive Multiresolution Surface Viewing," Proc. SIGGRAPH '96, Aug. 1996.
31. X. Gu, S. Gortler, and H. Hoppe, "Geometry Images," Proc. ACM SIGGRAPH. pp. 355-361, 2002.
32. B.E. Usevitch, "A Tutorial on Modern Lossy Wavelet Image Compression: Foundations of JPEG 2000," IEEE Signal Processing Magazine, pp. 22-35, Sept. 2001.
33. R.L. Joshi, H. Jafarkhani, J.H. Kasner, T.R. Fischer, N. Farvardin, M.W. Marcellin, and R.H. Bamberger, "Comparison of Different Methods of Classification in Subband Coding of Images," IEEE Trans. Image Processing, vol. 6, no. 11, pp. 1473-1486, Nov. 1997.
34. S. Hayk, Adaptive Filler Theory. Englewood Cliffs, N.J.: Prentice Hall, 1994.
35. C.S. Leung, A.C. Tsoi, and L.W. Chan, "Two Regularizes for Recursive Least Squared Algorithms in Feedforward Multilayered Neural Networks," IEEE Trans. Neural Networks, vol. 12, pp. 1314-1332, 2001.
36. A. Gersho and R.M. Gray, Vector Quantization and Signal Compression. Boston: Kluwer Academic, 1992.
37. G. Golub and C. Van Loan, Matrix Computations, second ed. Johns Hopkins Univ. Press, 1990.