A fourier theory for cast shadows

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 27, Issue 2, 2005, Pages 288-295

  Ramamoorthi, Ravi ^a   Koudelka, Melissa ^b   Belhumeur, Peter ^a  

^a Columbia University ^*  (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

Cast shadows; Convolution; Eigenmodes; Fourier analysis; V grooves

Indexed keywords

ALGORITHMS; COMPUTER VISION; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY DOMAIN ANALYSIS; INTEGRATION; MATRIX ALGEBRA; NUMERICAL ANALYSIS;

CAST SHADOWS; EIGENMODES; FOURIER ANALYSIS; V-GROOVES;

IMAGE ANALYSIS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPARATIVE STUDY; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; EVALUATION; FOURIER ANALYSIS; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; LIGHT; METHODOLOGY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING; THREE DIMENSIONAL IMAGING; VALIDATION STUDY;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER GRAPHICS; FOURIER ANALYSIS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; INFORMATION STORAGE AND RETRIEVAL; LIGHT; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 14544281138     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2005.22     Document Type: Article

References (24)

1. R. Basri and D. Jacobs, "Reflectance and Linear Subspaces," Proc. IEEE Int'l Conf. Computer Vision (ICCV '01), pp. 383-390, 2001.
2. K. Dana and S. Nayar, "Histogram Model for 3D Textures," Proc. IEEE Int'l Conf. Computer Vision and Pattern Recognition (CVPR '98), pp. 618-624, 1998.
3. K. Dana, B. van Ginneken, S. Nayar, and J. Koenderink, "Reflectance and Texture of Real-World Surfaces," ACM Trans. Graphics, vol. 18, no. 1, pp. 1-34, Jan. 1999.
4. R. Epstein, P. Hallinan, and A. Yuille, "5 Plus or Minus 2 Eigenimages Suffice: An Empirical Investigation of Low-Dimensional Lighting Models," Proc. IEEE Workshop Physics-Based Modeling in Computer Vision, pp. 108-116, 1995.
5. P. Gautron, J. Krivanek, S. Pattanaik, and K. Bouatouch, "A Novel Hemispherical Basis for Accurate and Efficient Rendering," Proc. Euro-Graphics Symp. Rendering (EGSR '04), 2004.
6. P. Hallinan, "A Low-Dimensional Representation of Human Faces for Arbitrary Lighting Conditions," Proc. IEEE Int'l Conf. Computer Vision and Pattern Recognition (CVPR '94), pp. 995-999, 1994.
7. J. Koenderink, A. Doorn, K. Dana, and S. Nayar, "Bidirectional Reflection Distribution Function of Thoroughly Pitted Surfaces," Int'l J. Computer Vision, vol. 31, nos. 2/3, pp. 129-144, 1999.
8. J. Koenderink and A. van Doorn, "Phenomenological Description of Bidirectional Surface Reflection," J. Optical Soc. Am. A, vol. 15, no. 11, pp. 2903-2912, 1998.
9. O. Makhotkin, "Analysis of Radiative Transfer between Surfaces by Hemispherical Harmonics," J. Quantitative Spectroscopy, vol. 56, no. 6, pp. 869-879, 1996.
10. S. Mallat, A Wavelet Tour of Signal Processing. Academic Press, 1999.
11. T. Malzbender, D. Gelb, and H. Wolters, "Polynomial Texture Maps," Proc. SIGGRAPH '01, pp. 519-528, 2001.
12. M. Oren and S. Nayar, "Generalization of Lambert's Reflectance Model," Proc. SIGGRAPH '94, pp. 239-246, 1994.
13. R. Ramamoorthi, "Analytic PCA Construction for Theoretical Analysis of Lighting Variability in Images of a Lambertian Object," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 24, no. 10, pp. 1322-1333, Oct. 2002.
14. R. Ramamoorthi and P. Hanrahan, "Analysis of Planar Light Fields from Homogeneous Convex Curved Surfaces under Distant Illumination," SPIE Photonics West: Human Vision and Electronic Imaging VI, pp. 185-198, 2001.
15. R. Ramamoorthi and P. Hanrahan, "On the Relationship between Radiance and Irradiance: Determining the Illumination from Images of a Convex Lambertian Object," J. Optical Soc. Am. A, vol. 18, no. 10, pp. 2448-2459, 2001.
16. R. Ramamoorthi and P. Hanrahan, "A Signal-Processing Framework for Inverse Rendering," Proc. SIGGRAPH '01, pp. 117-128, 2001.
17. R. Ramamoorthi, M. Koudelka, and P. Belhumeur, "A Fourier Theory for Cast Shadows," Proc. European Conf. Computer Vision (ECCV '04), pp. I146-I162, 2004.
18. I. Sato, Y. Sato, and K. Ikeuchi, "Illumination Distribution from Brightness in Shadows: Adaptive Estimation of Illumination Distribution with Unknown Reflectance Properties in Shadow Regions," Proc. IEEE Int'l Conf. Computer Vision (ICCV '99), pp. 875-882, 1999.
19. P. Sloan, J. Kautz, and J. Snyder, "Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environments," ACM Trans. Graphics (SIGGRAPH '02), vol. 21, no. 3, pp. 527-536, 2002.
20. C. Soler and F. Sillion, "Fast Calculation of Soft Shadow Textures Using Convolution," Proc. SIGGRAPH '98, pp. 321-332, 1998.
21. P. Suen and G. Healey, "Analyzing the Bidirectional Texture Function," Proc. IEEE Int'l Conf. Computer Vision and Pattern Recognition (CVPR '98), pp. 753-758, 1998.
22. K. Thomber and D. Jacobs, "Cast Shadows and Linear Subspaces," Technical Report NEC TR #2001-100, NEC, 2001.
23. K. Torrance and E. Sparrow, "Theory for Off-Specular Reflection from Roughened Surfaces," J. Optical Soc. Am., vol. 57, no. 9, pp. 1105-1114, 1967.
24. S. Westin, J. Arvo, and K. Torrance, "Predicting Reflectance Functions from Complex Surfaces," Proc. SIGGRAPH '92, pp. 255-264, 1992.