DocumentCode :
1000038
Title :
Effective scale: a natural unit for measuring scale-space lifetime
Author :
Lindeberg, Tony
Author_Institution :
Dept. of Numerical Anal. & Comput. Sci., R. Inst. of Technol., Stockholm, Sweden
Volume :
15
Issue :
10
fYear :
1993
fDate :
10/1/1993 12:00:00 AM
Firstpage :
1068
Lastpage :
1074
Abstract :
A manner in which a notion of effective scale can be introduced in a formal way is developed. For continuous signals, a scaling argument directly gives a natural unit for measuring scale-space lifetime in terms of the logarithm of the ordinary scale parameter. That approach is, however, not appropriate for discrete signals since an infinite lifetime would be assigned to structures existing in the original signal. It is shown how such an effective scale parameter can be defined to give consistent results for both discrete and continuous signals. The treatment is based on the assumption that the probability that a local extremum disappears during a short-scale interval should not vary with scale. As a tool for the analysis, estimates are given of how the density of local extrema can be expected to vary with scale in the scale-space representation of different random noise signals both in the continuous and discrete cases
Keywords :
image processing; effective scale; scale-space lifetime measurement unit; Computer vision; Data mining; Digital signal processing; Equations; Measurement units; Numerical analysis; Sampling methods; Signal analysis; Smoothing methods;
fLanguage :
English
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher :
ieee
ISSN :
0162-8828
Type :
jour
DOI :
10.1109/34.254063
Filename :
254063
Link To Document :
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