Computational Model of DIC Microscopy for Reconstructing 3-D Specimens
07 February 2018 (online)
Differential Interference Contrast (DIC) microscopy is a powerful visualization tool used to study live biological cells. Its use, however, has been limited to qualitative observations. The inherent non-linear relation between the object properties and the image intensity makes quantitative analysis difficult. As a first step towards measuring optical properties of objects from DIC images, we develop a model for the image formation process using methods consistent with energy conservation laws. We verify our model by comparing real image data of manufactured specimens to simulated images of virtual objects. As the next step, we plan to use this model to reconstruct the three-dimensional properties of unknown specimens.
- 1 Arnold VI. Mathematical Models of Classical Mechanics . (2nd ed.) New York: Springer; 1989
- 2 Born M, Wolf E. Principles of Optics . (6th ed.) Oxford: Pergamon Press; 1980
- 3 Cai W, Wang J. Adaptive multiresolution collocation methods for initial boundary value problems of nonlinear PDEs. SIAM J Num Anal 1996; 33 (Suppl. 03) 937-70.
- 4 Chipman R. Mechanics of polarization ray tracing. Optical Engineering 1995; 34 (Suppl. 06) 1636-45.
- 5 Cogswell C, Sheppard CJR. Confocal DIC Microscopy. J Microscopy 1992; 165 (Suppl. 01) 81-101.
- 6 Feinegle P. Motion Analysis and Visualization of Biological Structures Imaged via Normarski DIC Light Microscopy. PhD Thesis, Carnegie Mellon Univ; 1996
- 7 Galbraith W. The image of a point of light in DIC microscopy. Micr Acta 1982; 85 (Suppl. 03) 233-54.
- 8 Gibson S, Lanni F. Diffraction by a circular aperture as a model for three-dimensional optical microscopy. JOSA-A 1989; 6 (Suppl. 09) 1357-67.
- 9 Holmes TJ, Levy WJ. Signal-processing characteristics of DIC microscopy. Applied Optics 1987; 26 (Suppl. 18) 3929-39.
- 10 Kagalwala F, Kanade T. Computational model of the image formation process in DIC microscopy. Proc of the SPIE 1998; 3261: 193-204.
- 11 Preza C. Phase Estimation Using Rotational Diversity for DIC Microscopy. PhD thesis, Washington Univ; 1998
- 12 Wu Y. Image Registration Using Wavelet-Based Motion Model and its Applications. PhD thesis, Univ Pittsburgh; 1997