Efficient position estimation of 3D fluorescent spherical beads in confocal microscopy
Résumé
Particle estimation is a classical problem arising in many science fields, such as biophysics, fluid mechanics,
bio-medical imaging. Many interesting applications in these areas involve 3D data: this work presents
a technique to estimate the 3D coordinates of the center of spherical particles. This procedure provides
an estimation of both the center and the profile of the 2D intersections of the particles with the frames,
by coupling the usage of Total Variation functional and of a regularized weighted Least Square fit. The
2D information is used to retrieve the 3D coordinates using geometrical properties. The performance of
this procedure strongly depends on the quality of the acquisition, hence a particularly tailored denoising
technique is applied for Poisson noise: this leads to a better estimation of the particle positions.
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