OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 11, Iss. 7 — Jul. 1, 1994
  • pp: 1976–1984

Recovery of an unknown axis of rotation from the profiles of a rotating surface

P. J. Giblin, F. E. Pollick, and J. E. Rycroft  »View Author Affiliations


JOSA A, Vol. 11, Issue 7, pp. 1976-1984 (1994)
http://dx.doi.org/10.1364/JOSAA.11.001976


View Full Text Article

Enhanced HTML    Acrobat PDF (1126 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We consider a surface (semitransparent or opaque) in space, viewed by orthogonal projection to a view plane that is rotating uniformly about an unknown axis (equivalently, a surface rotating about an unknown axis and viewed by orthogonal projection to a fixed view plane). We consider profiles of this surface (also known as apparent contours, occluding contours, and outlines), and we do not track marked points or curves nor assume that a correspondence problem has been solved. We show that, provided the angular speed is known, the location of the axis, and hence the surface, can be recovered from measurements on the profiles over an interval of time. If the angular speed is unknown, then there is a one-parameter family of solutions similar to the bas-relief ambiguity. The results are obtained by use of frontier points on the surface, which can also be viewed as points of epipolar tangency. Results of a numerical experiment showed that the performance was best with larger extents of rotation or when the axis was nearly perpendicular to the view direction.

© 1994 Optical Society of America

History
Original Manuscript: August 16, 1993
Manuscript Accepted: February 3, 1994
Published: July 1, 1994

Citation
P. J. Giblin, F. E. Pollick, and J. E. Rycroft, "Recovery of an unknown axis of rotation from the profiles of a rotating surface," J. Opt. Soc. Am. A 11, 1976-1984 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-7-1976

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited