On the use of 2-D moment invariants for the automated classification of particle shapes

Acta Materialia

Volumn 56, Issue 3, 2008, Pages 427-437

  MacSleyne, J P ^a   Simmons, J P ^b   De Graef, M ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Microstructure; Modelling; Nickel alloys; Phase field models; Theory

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MICROSTRUCTURE; NICKEL ALLOYS; PRECIPITATES;

2-D MOMENT INVARIANTS; PARTICLE SHAPES; PHASE FIELD MODELS;

PARTICLE SIZE ANALYSIS;

EID: 37849041265     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2007.09.039     Document Type: Article

References (15)

1. Theodoridis S., and Koutroumbas K. Pattern recognition. 3rd ed. (2006), Academic Press, New York
2. Alkemper J., and Voorhees P.W. J Micros 201 (2001) 388-394
3. Poulsen H.F., Nielsen S.F., Lauridsen E.M., Schmidt S., Suter R.M., Lienert U., et al. J Appl Cryst 34 (2001) 751-756
4. Torquato S. Random heterogeneous materials: microstructure and macroscopic properties (2002), Springer Verlag, New York
5. Bracewell R.N. The Fourier transform and its applications. 2nd ed. (1986), McGraw-Hill International Editions, New York
6. Hu M.K. IEEE Trans Inform Th 8 (1962) 179-187
7. Mamistvalov A.G. IEEE Trans Pattern Anal Mach Intell 20 (1998) 819-831
8. Flusser J. Pattern Recogn 33 (2000) 1405-1410
9. Maitra S. Proc IEEE 67 (1979) 697-699
10. Herman VL. The Academy of Sciences Reports, USSR, 48:95-98; 1945.
11. Hermann C. Z Krist 89 (1934) 32-48
12. Pólya G., and Szegö G. Isoperimetric inequalities in mathematical physics (1951), Princeton University Press, Princeton, NJ
13. Wen Y.H., Simmons J.P., Shen C., Woodward C., and Wang Y. Acta Mater 51 (2003) 1123-1132
14. Ohser J., and Müecklich F. Statistical analysis of microstructures in materials science (2000), J. Wiley & Sons, Chichester
15. Novotni M., and Klein R. Comput Aid Des 36 (2004) 1047-1062