Phase mask selection in wavefront coding systems: A design approach

Abstract A method for optimizing the strength of a parametric phase mask for a wavefront coding imaging system is presented. The method is based on an optimization process that minimizes a proposed merit function. The goal is to achieve modulation transfer function invariance while quantitatively maintaining final image fidelity. A parametric filter that copes with the noise present in the captured images is used to obtain the final images, and this filter is optimized. The whole process results in optimum phase mask strength and optimal parameters for the restoration filter. The results for a particular optical system are presented and tested experimentally in the laboratory. The experimental results show good agreement with the simulations, indicating that the procedure is useful.

[1]  Edward R. Dowski,et al.  A New Paradigm for Imaging Systems , 2002, PICS.

[2]  Yunlong Sheng,et al.  Polynomial phase masks for extending the depth of field of a microscope. , 2008, Applied optics.

[3]  E. E. Sicre,et al.  Phase pupil functions for focal-depth enhancement derived from a Wigner distribution function. , 1998, Applied optics.

[4]  Jiabi Chen,et al.  Extension ratio of depth of field by wavefront coding method. , 2008, Optics express.

[5]  Rafael C. González,et al.  Local Determination of a Moving Contrast Edge , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  Zeev Zalevsky,et al.  Radial mask for imaging systems that exhibit high resolution and extended depths of field. , 2006, Applied optics.

[7]  Feihong Yu,et al.  Point spread function characteristics analysis of the wavefront coding system. , 2007, Optics express.

[8]  Andrew R Harvey,et al.  Phase pupil functions for reduction of defocus and spherical aberrations. , 2003, Optics letters.

[9]  Hyungsuck Cho,et al.  Flexible depth-of-field imaging system using a spatial light modulator. , 2007, Applied optics.

[10]  Gonzalo Muyo,et al.  Decomposition of the optical transfer function: wavefront coding imaging systems. , 2005, Optics letters.

[11]  W. Cathey,et al.  Extended depth of field through wave-front coding. , 1995, Applied optics.

[12]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[13]  Zalvidea,et al.  Quality parameters analysis of optical imaging systems with enhanced focal depth using the Wigner distribution function , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  G. J. Burton,et al.  Color and spatial structure in natural scenes. , 1987, Applied optics.

[15]  Jianfeng Sun,et al.  Optimized phase pupil masks for extended depth of field , 2007 .

[16]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[17]  Salvador Bosch,et al.  Implementation of a wavefront coded imaging system using a spatial light modulator , 2008, Optical Systems Design.

[18]  Jorge Ojeda-Castañeda,et al.  Asymmetric phase masks for extended depth of field. , 2004, Applied optics.

[19]  Sudhakar Prasad,et al.  High‐resolution imaging using integrated optical systems , 2004, Int. J. Imaging Syst. Technol..

[20]  W. Cathey,et al.  Phase plate to extend the depth of field of incoherent hybrid imaging systems. , 2004, Applied optics.

[21]  D J Field,et al.  Relations between the statistics of natural images and the response properties of cortical cells. , 1987, Journal of the Optical Society of America. A, Optics and image science.

[22]  Sherif S Sherif,et al.  Effect of detector noise in incoherent hybrid imaging systems. , 2005, Optics letters.

[23]  Kenneth Kubala,et al.  Reducing complexity in computational imaging systems. , 2003, Optics express.

[24]  W. Cathey,et al.  Defocus transfer function for circularly symmetric pupils. , 1997, Applied optics.

[25]  Jorge Ojeda-Castañeda,et al.  High focal depth with fractional-power wave fronts. , 2004, Optics letters.