A perspective shape-from-shading method using fast sweeping numerical scheme

Optica Applicata

Volumn 38, Issue 2, 2008, Pages 387-398

  Lei, Yang ^a   Jiu Qiang, Han ^b  

^a TONGJI UNIVERSITY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Hamilton jacobi equation; Perspective projection; Reflectance map; Shape from shading; Viscosity solution

Indexed keywords

HYDRODYNAMICS; MAPS; MEATS; MECHANICS; REFLECTION; VISCOSITY;

HAMILTON-JACOBI EQUATION; PERSPECTIVE PROJECTION; REFLECTANCE MAP; SHAPE-FROM-SHADING; VISCOSITY SOLUTION;

THREE DIMENSIONAL;

EID: 56749186114     PISSN: 00785466     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (17)

1. HORN B.K.P., Height and gradient from shading, International Journal of Computer Vision 5(1), 1990, pp. 37-75.
2. ZHANG R., TSAI P.S., CRYER J.E., SHAH M., Shape from shading: a survey, IEEE Transactions on Pattern Analysis and Machine Intelligence 21(8), 1999, pp. 690-706.
3. CHO S.Y., CHOW T.W.S., A new color 3D SFS methodology using neural-based color reflectance models and iterative recursive method, Neural Computation 14(11), 2002, pp. 2751-89.
4. DU Q.Y., BEN S.C., LIN T., An application of shape from shading, 8th International Conference on Control, Automation, Robotics and Vision, Vol. 1, 2004, pp. 184-9.
5. RAJABI M.A., BLAIS J.A.R., Optimization of DTM interpolation using SFS with single satellite imagery, The Journal of Supercomputing 28(2), 2004, pp. 193-213.
6. BORS A.G., HANCOCK E.R., WILSON R.C., Terrain analysis using radar shape-from-shading, IEEE Transactions on Pattern Analysis and Machine Intelligence 25(8), 2003, pp. 974-92.
7. JIANG T., LIU B., L Y.L., EVANS D.J., A neural network approach to shape from shading, International Journal of Computer Mathematics 80(4), 2003, pp. 433-9.
8. CROUZIL A., DESCOMBES X., DUROU J.D., A multiresolution approach for shape from shading coupling deterministic and stochastic optimization, IEEE Transactions on Pattern Analysis and Machine Intelligence 25(11), 2003, pp. 1416-21.
9. LIN C.T., CHENG W.C., LIANG S.F., Neural-network-bused aduptive hybrid-réflectance model for 3-D surfuce reconstruction, IEEE Transactions on Neural Networks 16(6), 2005, pp. 1601-15.
10. ROUY E., TOURIN A., A viscosity solutions approach to shape-from-shading, SIAM Journal on Numerical Analysis 29(3), 1992, pp. 867-84.
11. PRADOS E., Application of the theory of the viscosity solutions to the shape from shading problem, PhD Thesis, University of Nice-Sophia Antipolis, France 2004.
12. LIONS P.L., ROUY E., TOURIN A., Shape-from-shading, viscosity solutions and edges, Numerische Mathematik 64(3), 1993, pp. 323-53.
13. KIMMEL R., BRUCKSTEIN A., Global shape from shading, Computer Vision and Image Understanding 62(3), 1995, pp. 360-9.
14. ROBLES KELLY A., HANCOCK E.R., Shape-from-shading using the heut equation, IEEE Transactions on Image Processing 16(1), 2007, pp. 7-21.
15. TANKUS A., SOCHEN N., YESHURUN Y., Shape-from-shading under perspective projection, International Journal of Computer Vision 63(1), 2005, pp. 21-43.
16. KIMMEL R., BRUCKSTEIN A.M., Tracking level sets by level sets: A method for solving the shape from shading problem, Computer Vision and Image Understanding 62(1), 1995, pp. 47-58.
17. KAO C.Y., OSHER S., QIAN J., Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations, Journal of Computational Physics 196(1), 2004, pp. 367-91.