Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 2004 | Accepted Version
Book Section - Chapter Open

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

Abstract

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.

Additional Information

© 2004 Springer.

Attached Files

Accepted Version - sav_eccv04.pdf

Files

sav_eccv04.pdf
Files (456.3 kB)
Name Size Download all
md5:e924e812cd784a60e26ae3ec2bc7a3ee
456.3 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
January 13, 2024