Depth from gradient fields and control points: Bias correction in photometric stereo

Image and Vision Computing

Volumn 22, Issue 9, 2004, Pages 681-694

  Horovitz, Itsik ^a   Kiryati, Nahum ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Control points; Depth from gradient field; Full multigrid; Photometric stereo; Thin plate spline interpolation; Weighted least squares

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; ERROR CORRECTION; LASERS; LEAST SQUARES APPROXIMATIONS; LIGHTING; PARAMETER ESTIMATION; PHOTOMETRY; SCANNING;

CONTROL POINTS; DEPTH FROM GRADIENT FIELD; FULL MULTIGRID; PHOTOMETRIC STEREO; THIN PLATE SPLINE INTERPOLATION; WEIGHTED LEAST SQUARES;

COMPUTER VISION;

EID: 2942566087     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2004.01.005     Document Type: Article

References (36)

1. Bookstein F.L. Principal warps: thin plate splines and the decomposition of deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence. 11:1989;567-585.
2. Y. Chen, R. Sara, Integration of photometric stereo and shape from occluding contours by fusing orientation and depth data, Technical report CITR-TR-68, Computer Science Department, University of Auckland, New Zealand, 2000.
3. Cryer J.E., Tsai P.S., Shah M. Integration of shape from shading and stereo. Pattern Recognition. 28:1995;1033-1043.
4. Drew M.S., Funt B.V. Variational approach to interreflection in color images. Journal of Optical Society of America-A. 9:1992;1255-1265.
5. Drbohlav O., Šára R. Unambiguous Determination of Shape from Photometric Stereo with Unknown Light Sources. Proceedings of IEEE International Conference on Computer Vision. vol. 1:2001;Vancouver, Canada. pp. 581-586.
6. Drbohlav O., Šára R. Specularities reduce ambiguity of uncalibrated photometric stereo. Proceedings of European Conference on Computer Vision. vol. 2:2002;. pp. 46-60, Copenhagen, Denmark.
7. Drew M.S. Photometric stereo without multiple images. SPIE. 3016:1997;369-380.
8. Drew M.S., Brill M.H. Color from shape from color: a simple formalism with known light sources. Journal of the Optical Society of America-A. 17:2000;1371-1381.
9. Fan J., Wolff L.B. Surface curvature and shape reconstruction from unknown multiple illumination and integrability. Computer Vision and Image Understanding. 65:1997;347-359.
10. Franke R. Scattered data interpolation: tests of some methods. Mathematics of Computation. 38:1982;181-200.
11. Frankot R.T., Chellappa R. A method for enforcing integrability in shape from shading algorithms. IEEE Transactions on Pattern Analysis and Machine intelligence. 10:1988;439-451.
12. Fua P., Leclerc Y.G. Object-centered surface reconstruction: combining multi-image stereo and shading. International Journal of Computer Vision. 16:1995;35-56.
13. Horn B.K.P. Robot Vision. 1986;MIT Press.
14. Horn B.K.P., Brooks M.J. The variational approach to shape from shading. Computer Vision, Graphics and Image Processing. 33:1986;174-208.
15. Horn B.K.P. Height and gradient from shading. International Journal of Computer Vision. 5:1990;37-75.
16. Ikeuchi K. Reconstructing a depth map from intensity maps. Proceedings of ICPR, Montreal, Canada. 1984;. pp. 736-738.
17. Ikeuchi K., Nishihara H.K., Horn B.K.P., Sobalvarro P., Nagata S. Determining grasp configurations using photometric stereo and the PRISM binocular stereo system. International Journal of Robotics Research. 5:1986;46-65.
18. Klette R., Schluns K., Koschan A. Computer Vision: Three-Dimensional Data from Images. 1998;Springer, Berlin.
19. Leclerc Y.G., Bobick A.F. The Direct Computation of Height from Shading. Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition. 1991;. pp. 552-558, Maui, Hawaii.
20. Lee K.M., Kuo C.-C.J. Shape from photometric ratio and stereo. Journal of Visual Communication and Image Representation. 7:1996;155-162.
21. Onn R., Bruckstein A.M. Integrability disambiguates surface recovery in two-image photometric stereo. International Journal of Computer Vision. 5:1990;105-113.
22. Nayar S.K., Oren M. Generalization of the Lambertian model and implications for machine vision. International Journal of Computer Vision. 14:1995;227-251.
23. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical Recipes in C. second ed :1992;Cambridge University Press.
24. Shah J., Pien H.H., Gauch J.M. Recovery of surfaces with discontinuities by fusing shading and range data within a variational framework. IEEE Transactions on Image Processing. 5:1996;1243-1251.
25. Shao M., Chellappa R., Simchony T. Reconstructing a 3-D depth map from one or more images. Computer Vision, Graphics and Image Processing. 53:1991;219-226.
26. Shimshoni I., Moses Y., Lindenbaum M. Shape reconstruction of 3D bilaterally symmetric surfaces. International Journal of Computer Vision. 39:2000;97-110.
27. Szeliski R. Fast surface interpolation using hierarchical basis functions. IEEE Transactions on Pattern Analysis and Machine Intelligence. 12:1990;513-528.
28. M. Spiegelman, Myths and Methods in Modeling: Section 9, Lamont-Doherty Earth Observatory, Columbia University. http://www.ldeo.columbia.edu/~mspieg/ mmm.
29. Terzopoulos D. The role of constraints and discontinuities in visible-surface reconstruction. Proceedings of IJCAI83. 1983;. pp. 1019-1022.
30. D. Terzopoulos, Multiresolution computation of visible-surface representations, MIT PhD Thesis, 1984.
31. Terzopoulos D. Multilevel computational processes for visual surface reconstruction. CVGIP. 24:1983;52-96.
32. Verwer B.J.H. Local distances for distance transformations in two and three dimensions. Pattern Recognition Letters. 12:1991;671-682.
33. Wei G.Q., Hirzinger G. Parametric shape from shading by radial basis functions. IEEE Transactions on Pattern Analysis and Machine Intelligence. 19:1997;353-365.
34. Wolff L.B., Angelopoulou E. Three dimensional stereo by photometric ratios. Journal of the Optical Society of America A. 11:1994;3069-3078.
35. Woodham R.J. Photometric method for determining surface orientations from multiple images. Optical Engineering. 19:1980;139-144.
36. Wu Z., Li L. A line integration based method for depth recovery from surface normals. Computer Vision, Graphics and Image Processing. 43:1988;53-66.