F. Truchetet, “3D translucent object reconstruction from artificial vision,” Machine Vision Applications in Industrial Inspection XIV 6070 (2006).

N. Dey, A. Boucher, and M. Thonnat, “Image formation model a 3-d translucent object observed in light microscopy,” Proc. of IEEE ICIP (2002).

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

M. Asif and T. Choi, “Shape from focus using multilayer feedforward neural networks,” IEEE Trans. on Image Processing 101670–1675 (2001).

[Crossref]

T. S. Choi and J. Yun, “Three-dimensional shape recovery from the focused-image surface,” Opt. Eng. 391321–1326 (2000).

[Crossref]

Y. Y. Schechner, N. Kiryati, and R. Basri, “Separation of transparent layers using focus,” Proc. of IEEE 6th Int. Conf. On Computer Vision1061–1066 (1998).

J. Vitria and J. Llacer, “Reconstructing 3D light microscopic images using the EM algorithm,” Pattern Recognition Letters 171491–1498 (1996).

[Crossref]

M. Noguchi and S. K. Nayar, “Microscopic shape from focus using a projected illumination pattern,” Math. Comput. Modelling 24 5/6 31–48 (1996).

[Crossref]

S. Nayar and Y. Nakagawa, “Shape from focus,” IEEE Trans. Pattern Anal. Machine Intell. 16824–831 (1994).

[Crossref]

J. Ens and P. Lawrence, “An investigation of methods for determining depth from focus,” IEEE Trans. Pattern Anal. Machine Intell. 1597–108 (1993).

[Crossref]

S. Joschi and M. Miller, “Maximum a posteriori estimation with good’s roughness for three-dimensional optical-sectioning microscopy,” J. Opt. Soc. Am. A. 10 5 1078–1085 (1993).

[Crossref]

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

J. Ens and P. Lawrence, “A matrix based method for determining depth from focus,” Proc. CVPR600–606 (1991).

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

A. Pentland, “A new sense for depth of field,” IEEE Trans. Pattern Anal. Mach. Intell. 9522–531 (1987).

[Crossref]

W. Pratt, “Vector formulation of 2d signal processing operations,” Comp. Graph. and Image Proc. 41–24 (1975).

[Crossref]

H. H. Hopkins, “The frequency response of a defocused optical system,” Proc. Royal Soc. London 231 A 91–103 (1955).

[Crossref]

M. Asif and T. Choi, “Shape from focus using multilayer feedforward neural networks,” IEEE Trans. on Image Processing 101670–1675 (2001).

[Crossref]

Y. Y. Schechner, N. Kiryati, and R. Basri, “Separation of transparent layers using focus,” Proc. of IEEE 6th Int. Conf. On Computer Vision1061–1066 (1998).

N. Dey, A. Boucher, and M. Thonnat, “Image formation model a 3-d translucent object observed in light microscopy,” Proc. of IEEE ICIP (2002).

M. Asif and T. Choi, “Shape from focus using multilayer feedforward neural networks,” IEEE Trans. on Image Processing 101670–1675 (2001).

[Crossref]

T. S. Choi and J. Yun, “Three-dimensional shape recovery from the focused-image surface,” Opt. Eng. 391321–1326 (2000).

[Crossref]

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

N. Dey, A. Boucher, and M. Thonnat, “Image formation model a 3-d translucent object observed in light microscopy,” Proc. of IEEE ICIP (2002).

J. Ens and P. Lawrence, “An investigation of methods for determining depth from focus,” IEEE Trans. Pattern Anal. Machine Intell. 1597–108 (1993).

[Crossref]

J. Ens and P. Lawrence, “A matrix based method for determining depth from focus,” Proc. CVPR600–606 (1991).

G. Golub and C. V. Loan, Matrix Computations, Baltimore: John Hopkins University Press third ed. (1996).

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

H. H. Hopkins, “The frequency response of a defocused optical system,” Proc. Royal Soc. London 231 A 91–103 (1955).

[Crossref]

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

S. Joschi and M. Miller, “Maximum a posteriori estimation with good’s roughness for three-dimensional optical-sectioning microscopy,” J. Opt. Soc. Am. A. 10 5 1078–1085 (1993).

[Crossref]

Y. Y. Schechner, N. Kiryati, and R. Basri, “Separation of transparent layers using focus,” Proc. of IEEE 6th Int. Conf. On Computer Vision1061–1066 (1998).

J. Ens and P. Lawrence, “An investigation of methods for determining depth from focus,” IEEE Trans. Pattern Anal. Machine Intell. 1597–108 (1993).

[Crossref]

J. Ens and P. Lawrence, “A matrix based method for determining depth from focus,” Proc. CVPR600–606 (1991).

J. Vitria and J. Llacer, “Reconstructing 3D light microscopic images using the EM algorithm,” Pattern Recognition Letters 171491–1498 (1996).

[Crossref]

G. Golub and C. V. Loan, Matrix Computations, Baltimore: John Hopkins University Press third ed. (1996).

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

S. Joschi and M. Miller, “Maximum a posteriori estimation with good’s roughness for three-dimensional optical-sectioning microscopy,” J. Opt. Soc. Am. A. 10 5 1078–1085 (1993).

[Crossref]

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

S. Nayar and Y. Nakagawa, “Shape from focus,” IEEE Trans. Pattern Anal. Machine Intell. 16824–831 (1994).

[Crossref]

S. Nayar and Y. Nakagawa, “Shape from focus,” IEEE Trans. Pattern Anal. Machine Intell. 16824–831 (1994).

[Crossref]

M. Noguchi and S. K. Nayar, “Microscopic shape from focus using a projected illumination pattern,” Math. Comput. Modelling 24 5/6 31–48 (1996).

[Crossref]

M. Noguchi and S. K. Nayar, “Microscopic shape from focus using a projected illumination pattern,” Math. Comput. Modelling 24 5/6 31–48 (1996).

[Crossref]

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

A. Pentland, “A new sense for depth of field,” IEEE Trans. Pattern Anal. Mach. Intell. 9522–531 (1987).

[Crossref]

W. Pratt, “Vector formulation of 2d signal processing operations,” Comp. Graph. and Image Proc. 41–24 (1975).

[Crossref]

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

Y. Y. Schechner, N. Kiryati, and R. Basri, “Separation of transparent layers using focus,” Proc. of IEEE 6th Int. Conf. On Computer Vision1061–1066 (1998).

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

N. Dey, A. Boucher, and M. Thonnat, “Image formation model a 3-d translucent object observed in light microscopy,” Proc. of IEEE ICIP (2002).

F. Truchetet, “3D translucent object reconstruction from artificial vision,” Machine Vision Applications in Industrial Inspection XIV 6070 (2006).

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

J. Vitria and J. Llacer, “Reconstructing 3D light microscopic images using the EM algorithm,” Pattern Recognition Letters 171491–1498 (1996).

[Crossref]

T. S. Choi and J. Yun, “Three-dimensional shape recovery from the focused-image surface,” Opt. Eng. 391321–1326 (2000).

[Crossref]

W. Pratt, “Vector formulation of 2d signal processing operations,” Comp. Graph. and Image Proc. 41–24 (1975).

[Crossref]

A. Pentland, T. Darell, M. Turk, and W. Huang, “A simple real-time range camera,” IEEE Comput. Soc. Conf. Comput. Vision Patt. Recogn. 256-261 (1989).

M. Asif and T. Choi, “Shape from focus using multilayer feedforward neural networks,” IEEE Trans. on Image Processing 101670–1675 (2001).

[Crossref]

A. Pentland, “A new sense for depth of field,” IEEE Trans. Pattern Anal. Mach. Intell. 9522–531 (1987).

[Crossref]

S. Nayar and Y. Nakagawa, “Shape from focus,” IEEE Trans. Pattern Anal. Machine Intell. 16824–831 (1994).

[Crossref]

J. Ens and P. Lawrence, “An investigation of methods for determining depth from focus,” IEEE Trans. Pattern Anal. Machine Intell. 1597–108 (1993).

[Crossref]

C. Preza, M. I. Miller, L. J. Thomas, and J. G. McNally, “Regularized linear method for reconstruction of three-dimensional microscopic objects from optical sections,” J. Opt. Soc. Am. A. 9 2 219–228 (1992).

[Crossref]
[PubMed]

S. Joschi and M. Miller, “Maximum a posteriori estimation with good’s roughness for three-dimensional optical-sectioning microscopy,” J. Opt. Soc. Am. A. 10 5 1078–1085 (1993).

[Crossref]

F. Truchetet, “3D translucent object reconstruction from artificial vision,” Machine Vision Applications in Industrial Inspection XIV 6070 (2006).

M. Noguchi and S. K. Nayar, “Microscopic shape from focus using a projected illumination pattern,” Math. Comput. Modelling 24 5/6 31–48 (1996).

[Crossref]

T. S. Choi and J. Yun, “Three-dimensional shape recovery from the focused-image surface,” Opt. Eng. 391321–1326 (2000).

[Crossref]

J. Vitria and J. Llacer, “Reconstructing 3D light microscopic images using the EM algorithm,” Pattern Recognition Letters 171491–1498 (1996).

[Crossref]

J. Ens and P. Lawrence, “A matrix based method for determining depth from focus,” Proc. CVPR600–606 (1991).

Y. Y. Schechner, N. Kiryati, and R. Basri, “Separation of transparent layers using focus,” Proc. of IEEE 6th Int. Conf. On Computer Vision1061–1066 (1998).

N. Dey, A. Boucher, and M. Thonnat, “Image formation model a 3-d translucent object observed in light microscopy,” Proc. of IEEE ICIP (2002).

H. H. Hopkins, “The frequency response of a defocused optical system,” Proc. Royal Soc. London 231 A 91–103 (1955).

[Crossref]

M. R. P. Homem, N. D.A. Mascarenhas, L. F. Costa, and C. Preza, “Biological image restoration in optical-sectioning
microscopy using prototype image constraints,” Real-Time Imaging 8475–490 (2002).

[Crossref]

G. Golub and C. V. Loan, Matrix Computations, Baltimore: John Hopkins University Press third ed. (1996).

The discrete convolution product is denoted as usual as h * s(l,c) =∑i∑jh(i,j)s(l-i,c - j)