Photos, Objects and Computer Vision

Maurizio Falcone and Alessandra Seghini
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Maurizio Falcone: SAPIENZA - Università di Roma, Dipartimento di Matematica
Alessandra Seghini: SAPIENZA - Università di Roma, Dipartimento di Matematica

A chapter in Imagine Math 3, 2015, pp 271-282 from Springer

Abstract: Abstract The ability to reconstruct the surface of an object starting from one of more images is called 3D reconstruction. Starting from the pioneering work of Horn (Shape from shading: a method for obtaining the shape of a smooth opaque object from one view, Ph.D. thesis, Department of Electrical Engineering, MIT, Cambridge, 1970) who was using a single image and an orthographic projection, the models and the techniques have greatly improved in the last 30 years and now we can manage perspective deformations, various light conditions, more than one image of the same scene under the same light conditions and/or more images from different points of view. Moreover, numerical methods associated to these models have improved allowing for fast and accurate solutions. This tremendous evolution is a good omen for the applications of 3D reconstruction techniques in medicine, security, space investigations, robot vision and cultural heritage preservation.

Keywords: Nonlinear Partial Differential Equation; Optical Center; Eikonal Equation; Point Light Source; Orthographic Projection (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-319-01231-5_20

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