CaltechAUTHORS
  A Caltech Library Service

Local Analysis for 3D Reconstruction of Specular Surfaces - Part II

Savarese, Silvio and Perona, Pietro (2002) Local Analysis for 3D Reconstruction of Specular Surfaces - Part II. In: Computer Vision - ECCV 2002. Lecture Notes in Computer Science. Vol.2. No.2351. Springer , Berlin, pp. 759-774. ISBN 978-3-540-43744-4. https://resolver.caltech.edu/CaltechAUTHORS:20140730-101720081

[img]
Preview
PDF - Accepted Version
See Usage Policy.

2834Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20140730-101720081

Abstract

We analyze the problem of recovering the shape of a mirror surface. We generalize the results of [1], where the special case of planar and spherical mirror surfaces was considered, extending that analysis to any smooth surface. A calibrated scene composed of lines passing through a point is assumed. The lines are reflected by the mirror surface onto the image plane of a calibrated camera, where the intersection and orientation of such reflections are measured. The relationship between the local geometry of the surface around the point of reflection and the measurements is analyzed. We give necessary and sufficient conditions, as well as a practical algorithm, for recovering first order local information (positions and normals) when three intersecting lines are visible. A small number of ‘ghost solutions’ may arise. Second order surface geometry may also be obtained up to one unknown parameter. Experimental results with real mirror surfaces are presented.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://link.springer.com/chapter/10.1007%2F3-540-47967-8_51PublisherArticle
http://dx.doi.org/10.1007/3-540-47967-8_51DOIArticle
ORCID:
AuthorORCID
Perona, Pietro0000-0002-7583-5809
Additional Information:© Springer-Verlag Berlin Heidelberg 2002. This work is supported by the NSF Engineering Research Center for Neuromorphic Systems Engineering (CNSE) at Caltech (EEC-9402726). We wish to thank Min Chen, Marzia Polito and Fei Fei Li for helpful feedback and comments.
Funders:
Funding AgencyGrant Number
NSFEEC-9402726
Center for Neuromorphic Systems Engineering, CaltechUNSPECIFIED
Subject Keywords:Shape recovery, geometry, mirror surfaces Shape recovery geometry mirror surfaces Shape recovery geometry mirror surfaces
Series Name:Lecture Notes in Computer Science
Issue or Number:2351
Record Number:CaltechAUTHORS:20140730-101720081
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140730-101720081
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47620
Collection:CaltechAUTHORS
Deposited By: Caroline Murphy
Deposited On:19 Aug 2014 21:24
Last Modified:03 Oct 2019 06:55

Repository Staff Only: item control page