Inverse-problem approach for particle digital holography: accurate location based on local optimization.

We propose a microparticle localization scheme in digital holography. Most conventional digital holography methods are based on Fresnel transform and present several problems such as twin-image noise, border effects, and other effects. To avoid these difficulties, we propose an inverse-problem approach, which yields the optimal particle set that best models the observed hologram image. We resolve this global optimization problem by conventional particle detection followed by a local refinement for each particle. Results for both simulated and real digital holograms show strong improvement in the localization of the particles, particularly along the depth dimension. In our simulations, the position precision is > or =1 microm rms. Our results also show that the localization precision does not deteriorate for particles near the edge of the field of view.

[1]  Chandra S. Vikram,et al.  Particle Field Holography , 1992 .

[2]  Brian J. Thompson,et al.  Fraunhofer Holography Applied to Particle Size Analysis a Reassessment , 1976 .

[3]  Brian J. Thompson.  A New Method of Measuring Particle Size by Diffraction Techniques , 1964 .

[4]  Mokrane Malek,et al.  Digital in-line holography: influence of the shadow density on particle field extraction. , 2004, Optics express.

[5]  Jeffrey A Fessler,et al.  Penalized-likelihood image reconstruction for digital holography. , 2004, Journal of the Optical Society of America. A, Optics, image science, and vision.

[6]  Hui Meng,et al.  Digital holography of particle fields: reconstruction by use of complex amplitude. , 2003, Applied optics.

[7]  Shigeru Murata,et al.  Development of full volume digital holography for particle measurement , 2000 .

[8]  Jorge J. Moré,et al.  Computing a Trust Region Step , 1983 .

[9]  Werner P. O. Jueptner,et al.  Methods of digital holography: a comparison , 1997, Other Conferences.

[10]  Christophe Ducottet,et al.  Digital in-line holography: influence of the reconstruction function on the axial profile of a reconstructed particle image , 2004 .

[11]  Philip J. Santangelo,et al.  Holographic particle diagnostics , 1993 .

[12]  J. Goodman.  Introduction to Fourier optics , 1969 .

[13]  Thierry Blu,et al.  Fresnelets: new multiresolution wavelet bases for digital holography , 2003, IEEE Trans. Image Process..

[14]  Christophe Ducottet,et al.  Direct extraction of the mean particle size from a digital hologram. , 2006, Applied optics.

[15]  Corinne Fournier,et al.  Twin-image noise reduction by phase retrieval in in-line digital holography , 2005, SPIE Optics + Photonics.

[16]  Weidong Yang,et al.  Depth-of-focus reduction for digital in-line holography of particle fields. , 2005, Optics letters.

[17]  Klaus D. Hinsch.  REVIEW ARTICLE: Holographic particle image velocimetry , 2002 .

[18]  Charles Thompson.  The Effects of Ambient on Performance of CdS Thin Film Transistor , 1965 .