A hitherto unnoticed singularity of scale-space
Koenderink, J.J.
Dept. of Med. & Physiol. Phys., Utrecht Univ. ;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Nov 1989
Volume: 11,
Issue: 11
On page(s): 1222-1224
ISSN: 0162-8828
References Cited: 6
CODEN: ITPIDJ
INSPEC Accession Number: 3572670
Digital Object Identifier: 10.1109/34.42861
Current Version Published: 2002-08-06
Abstract
A hitherto unnoticed singularity of scale space occurs only at
isolated points in scale space. Thus it does not generically occur for
single images, but it can occur occasionally in members of time
sequences (say). It occurs at those critical points of the image at
which the Laplacean of the illuminance vanishes (a nongeneric
condition). The structure of scale space in an infinitesimal
neighborhood of such a singularity is explored. The effect of the
singularity of mappings between copies of an image at different levels
of resolution is evaluated and checked with a numerical
calculation
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