By Topic

Characterizing ∇2G filtered images by their zero crossings

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Reimer, J.A. ; University of British Columbia, Vancouver, Canada ; Lawrence, P.

This paper considers the characterization ofnabla^{2}Gfiltered images by their zero crossings. It has been suggested thatnabla^{2}Gfiltered images might be characterized by their zero crossings [1]. It is shown here thatnabla^{2}Gfiltered images, filtered in 1-D or 2-D are not, in general, uniquely given within a scalar by their zero crossing locations. Two theorems in support of such a suggestion are considered. We consider the differences between the requirements of Logan's theorem andnabla^{2}Gfiltering, and show that the zero crossings which result from these two situations differ significantly in number and location. Logan's theorem is therefore not applicable tonabla^{2}Gfiltered images. A recent theorem by Curtis [8] on the adequacy of zero crossings of 2-D functions is also considered. It is shown that the requirements of Curtis' theorem are not satisfied by allnabla^{2}Gfiltered images. An example of two differentnabla^{2}Gfiltered images with the same zero crossings is presented.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '87.  (Volume:12 )

Date of Conference:

Apr 1987