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Recovering local shape of a mirror surface from reflection of a regular grid

Savarese, Silvio and Chen, Min and Perona, Pietro (2004) Recovering local shape of a mirror surface from reflection of a regular grid. In: Computer Vision - ECCV 2004. Lecture Notes in Computer Science. Vol.III. No.3023. Springer , Berlin, pp. 468-481. ISBN 978-3-540-21982-8.

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We present a new technique to recover the shape of an unknown smooth specular surface from a single image. A calibrated camera faces a specular surface reflecting a calibrated scene (for instance a checkerboard or grid pattern). The mapping from the scene pattern to its reflected distorted image in the camera changes the local geometrical structure of the scene pattern. We show that if measurements of both local orientation and scale of the distorted scene in the image plane are available, this mapping can be inverted. Specifically, we prove that surface position and shape up to third order can be derived as a function of such local measurements when two orientations are available at the same point (e.g. a corner). Our results generalize previous work [1, 2] where the mirror surface geometry was recovered only up to first order from at least three intersecting lines. We validate our theoretical results with both numerical simulations and experiments with real surfaces.

Item Type:Book Section
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Perona, Pietro0000-0002-7583-5809
Additional Information:© 2004 Springer.
Subject Keywords:Image Processing and Computer Vision; Pattern Recognition; Computer Graphics; Artificial Intelligence (incl. Robotics)
Series Name:Lecture Notes in Computer Science
Issue or Number:3023
Record Number:CaltechAUTHORS:20140730-101719052
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47612
Deposited By: Caroline Murphy
Deposited On:18 Aug 2014 19:08
Last Modified:10 Nov 2021 17:48

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