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.
© 2001 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(080.2740) Geometric optics : Geometric optical design
(110.2990) Imaging systems : Image formation theory
(110.4850) Imaging systems : Optical transfer functions
(120.4820) Instrumentation, measurement, and metrology : Optical systems
Silvia Manolache, Amar Aggoun, Malcolm McCormick, Neil Davies, and S. Y. Kung, "Analytical model of a three-dimensional integral image recording system that uses circular- and hexagonal-based spherical surface microlenses," J. Opt. Soc. Am. A 18, 1814-1821 (2001)