Abstract
To extract patterns from observable measurements we need to be able to define and identify stable features in observable measurements that persist in the presence of small artificial features such as noise, measurement errors, etc. The representational theory of measurement is used to define the stability of a measurement procedure. A technique, 'motif analysis', is defined to identify and remove 'insignificant' features while leaving 'significant' features. This technique is formalized and three properties identified that ensure stability. The connection of motif analysis with morphological closing filters is established and used to prove the stability of motif analysis. Finally, a practical metrology example is given of motif analysis in surface texture. Here motif analysis is used to segment a surface into its significant features.
| Original language | English |
|---|---|
| Pages (from-to) | 2845-2864 |
| Number of pages | 20 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 460 |
| Issue number | 2050 |
| Early online date | 29 Jun 2004 |
| DOIs | |
| Publication status | Published - 8 Oct 2004 |
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Pattern analysis and metrology : The extraction of stable features from observable measurements. / Scott, P. J.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 460, No. 2050, 08.10.2004, p. 2845-2864.Research output: Contribution to journal › Article
TY - JOUR
T1 - Pattern analysis and metrology
T2 - The extraction of stable features from observable measurements
AU - Scott, P. J.
PY - 2004/10/8
Y1 - 2004/10/8
N2 - To extract patterns from observable measurements we need to be able to define and identify stable features in observable measurements that persist in the presence of small artificial features such as noise, measurement errors, etc. The representational theory of measurement is used to define the stability of a measurement procedure. A technique, 'motif analysis', is defined to identify and remove 'insignificant' features while leaving 'significant' features. This technique is formalized and three properties identified that ensure stability. The connection of motif analysis with morphological closing filters is established and used to prove the stability of motif analysis. Finally, a practical metrology example is given of motif analysis in surface texture. Here motif analysis is used to segment a surface into its significant features.
AB - To extract patterns from observable measurements we need to be able to define and identify stable features in observable measurements that persist in the presence of small artificial features such as noise, measurement errors, etc. The representational theory of measurement is used to define the stability of a measurement procedure. A technique, 'motif analysis', is defined to identify and remove 'insignificant' features while leaving 'significant' features. This technique is formalized and three properties identified that ensure stability. The connection of motif analysis with morphological closing filters is established and used to prove the stability of motif analysis. Finally, a practical metrology example is given of motif analysis in surface texture. Here motif analysis is used to segment a surface into its significant features.
KW - Measurement theory
KW - Morphological closing filters
KW - Motif analysis
KW - Pattern analysis
UR - http://www.scopus.com/inward/record.url?scp=17144426675&partnerID=8YFLogxK
U2 - 10.1098/rspa.2004.1291
DO - 10.1098/rspa.2004.1291
M3 - Article
AN - SCOPUS:17144426675
VL - 460
SP - 2845
EP - 2864
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 0080-4630
IS - 2050
ER -