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Updated: Jul 10, 2026

Lensfree On-chip Tomographic Microscopy Employing Multi-angle Illumination and Pixel Super-resolution
Published on: August 16, 2012
Analytical model of a three-dimensional integral image recording system that uses circular- and hexagonal-based
S Manolache1, A Aggoun, M McCormick
1Department of Electrical and Electronic Engineering, De Montfort University, The Gateway, Leicester, UK. silvia@dmu.ac.uk
Abstract:
A mathematical model for a three-dimensional omnidirectional integral recording camera system that uses either circular- or hexagonal-based spherical surface microlens arrays is derived. The geometry of the image formation and recording process is fully described. Matlab is then used to establish the number of recorded micro-intensity distributions representing a single object point and their dependence on spatial position. The point-spread function for the entire optical process for both close and remote imaging is obtained, and the influence of depth on the point-spread dimensions for each type of microlens and imaging condition is discussed. Comparisons of the two arrangements are made, based on the illustrative numerical results presented.
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