9 February 2006 3D translucent object reconstruction from artificial vision
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A model and a method providing a 3D reconstruction of a given translucent object from a series of image acquisitions performed with various focus tunings is proposed. The object is imaged by transmission; refraction, reflection and diffusion effects are neglected. It is modeled as a stack of translucent parallel planes whose positions are denoted by their abscissa. A first degree order discrete expansion of the transmission coefficient is proposed. The optical device is assumed to be linear, its blurring function depends on the focusing distance. All the images acquired with various focusing distances are lexicographically sorted in a vector S and, calling E the images of the absorption coefficients of the object, the acquisition process can be described by a set of linear equations: S = HE. Taking advantage from the peculiar structure of H we propose a very efficient inversion technique with a complexity O(n) allowing practical applications with simple lap top computer in very reasonable time. Examples of results with a simulated 3D translucent object are presented. When no perturbation is assumed, the model is reconstructed with no visible error from the blurred acquisitions.
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Frédéric Truchetet, Frédéric Truchetet, "3D translucent object reconstruction from artificial vision", Proc. SPIE 6070, Machine Vision Applications in Industrial Inspection XIV, 60700B (9 February 2006); doi: 10.1117/12.641658; https://doi.org/10.1117/12.641658

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