3D shape reconstruction of medical images using a perspective shape-from-shading method

Measurement Science and Technology

Volumn 19, Issue 6, 2008, Pages

  Yang, Lei ^a   Han, Jiu Qiang ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

3D measurement; Fast sweeping method; Medical images; Perspective projection; Shape from shading; Viscosity solution of static Hamilton Jacobi equation

Indexed keywords

APPROXIMATION ALGORITHMS; HAMILTONIANS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; ITERATIVE METHODS; LIGHT SOURCES; MEDICAL IMAGING; NUMERICAL METHODS; REFLECTION; VISCOSITY;

3-D MEASUREMENT; FAST SWEEPING METHOD; PERSPECTIVE PROJECTIONS; SHAPE FROM SHADING; VISCOSITY SOLUTION OF STATIC HAMILTON-JACOBI EQUATION;

MEDICAL IMAGE PROCESSING;

EID: 46749084299     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/19/6/065502     Document Type: Article

References (35)

1. Horn B K P and Brooks M J 1986 The variational approach to shape from shading Comput. Vis.Graph. Image Process. 33 174-208
2. Horn B K P 1990 Height and gradient from shading Int. J. Comput. Vis. 5 ((1)) 37-75
3. Zhang R, Tsai P S, Cryer J E and Shah M 1999 Shape from shading: a survey IEEE Trans. PAMI 21 690-706
4. Cho S Y and Chow T W S 2002 A new color 3D SFS methodology using neural-based color reflectance models and iterative recursive method Neural Comput. 14 2751-89
5. Li Mei Song, Xing Hua Qu, Xu Ke Xin and Li Na Lv 2005 Novel SFS-NDT in the field of defect detection NDT&E Int. 38 381-6
6. Mohammad A, Rajabi J A and Blais R 2004 Optimization of DTM interpolation using SFS with single satellite imagery J. Supercomput. 28 193-213
7. Bors A G, Hancock E R and Wilson R C 2003 Terrain analysis using radar shape-from-shading IEEE Trans. PAMI 25 974-92
8. Okatani T and Deguchi K 1997 Shape reconstruction from an endoscope image by shape from shading technique for a point light source at the projection centre Comput. Vis. Image Underst. 66 119-31
9. Tankus A, Sochen N and Yeshurun Y 2004 Reconstruction of medical images by perspective shape-from-shading Proc. 17th Int. Conf. on Pattern Recognition (ICPR'04) pp 778-81
10. Tsai P S and Shah M 1994 Shape from shading using linear approximation Image Vis. Comput. J. 12 487-98
11. Jiang T, Liu B, Lu Y L and Evans D J 2003 A neural network approach to shape from shading Int. J. Comput. Math. 80 433-9
12. Crouzil A, Descombes X and Durou J D 2003 A multiresolution approach for shape from shading coupling deterministic and stochastic optimization IEEE Trans. PAMI 25 1416-21
13. Lin C T, Cheng W C and Liang S F 2005 Neural-network-based adaptive hybrid reflectance model for 3-D surface reconstruction IEEE Trans. Neural Netw. 16 1601-15
14. Rouy E and Tourin A 1992 A viscosity solutions approach to shape from shading SIAM J. Numer. Anal. 29 867-84
15. Prados E and Faugeras O 2005 Shape from shading: a well posed problem? Int. Conf. on Computer Vision and Pattern Recognition CVPR05 (San Diego, CA, June 2005)
16. Lions P L, Rouy E and Tourin A 1993 Shape-from-shading, viscosity solutions and edges Numer. Math. 64 323-53
17. Bruckstein A and Kimmel R 1995 Global shape from shading Comput. Vis. Image Underst. 62 360-9
18. Antonio R K and Edwin R H 2007 Shape-from-shading using the heat equation IEEE Trans. Image Process. 16 7-21
19. Tankus A, Sochen N and Yeshurun Y 2005 Shape-from-shading under perspective projection Int. J. Comput. Vis. 63 21-43
20. Abdelrehim H A and Farag A A 2006 A new formulation for shape from shading for Non-Lambertian surfaces Proc. 2006 IEEE Conf. on Computer Vision and Pattern Recognition (CVPR'06)
21. Kimmel R and Bruckstein A M 1995 Tracking level sets by level sets: a method for solving the shape from shading problem Comput. Vis. Image Underst. 62 47-58
22. Yamany S, Farag A, Tazman D and Farman A 1999 A robust 3D reconstruction system for human jaw modeling Proc. SPIE 3640 125-35
23. Forster Q C H and Tozzi C L 2000 Towards 3D reconstruction of endoscope images using shape from shading Computer Graphics and Image Processing, Proc. XIII Brazilian Symp. (17-20 Oct.) pp 90-6
24. Yeung S Y, Tsui H T and Yim A 1999 Global Shape from Shading for an Endoscope Image vol 1679 ed C Taylor and A Colchester MICCAI'99, LNCS pp 318-27
25. Prados E 2004 Application of the theory of the viscosity solutions to the shape from shading problem PhD Thesis University of Nice-Sophia Antipolis
26. Prados E and Faugeras O 2003 A mathematical and algorithmic study of the Lambertian SFS problem for orthographic and pinhole cameras Technical Report RR-5005 INRIA
27. Prados E and Faugeras O 2005 A generic and provably convergent shape-from-shading method for orthographic and pinhole cameras Int. J. Comput. Vis. 65 97-125
28. Bardi M and Capuzzo-Dolcetta I 1997 Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations (Basel: Birkhauser)
29. Kimmel R and James A S 2001 Optical algorithm for shape from shading and path planning J. Math. Imag. Vis. 14 237-44
30. Abdelrehim H A and Farag A A 2007 Shape from shading under various imaging conditions IEEE-CVPR pp 1-8
31. Sethian J 1999 Level Sets Methods and Fast Marching Methods 2nd edn (Cambridge: Cambridge University Press)
32. Zhao H 2004 A fast sweeping method for Eikonal equations Math. Comput. 74 603-27
33. Kao C Y, Osher S and Qian J 2004 Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations J. Comput. Phys. 196 367-91
34. Zhang Y T, Zhao H K and Qian J 2006 High order fast sweeping methods for static Hamilton-Jacobi equations J. Sci. Comput. 29 25-56
35. Jiang G S and Peng D 2000 Weighted ENO schemes for Hamilton-Jacobi equations SIAM J. Sci. Comput. 21 2126-43