On the use of moment invariants for the automated analysis of 3D particle shapes

Modelling and Simulation in Materials Science and Engineering

Volumn 16, Issue 4, 2008, Pages

  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

[No Author keywords available]

Indexed keywords

ASPECT RATIO; DIMENSIONAL STABILITY; DISCRIMINATORS; EVOLUTIONARY ALGORITHMS; LITHOGRAPHY; MATHEMATICAL TRANSFORMATIONS; MICROSTRUCTURAL EVOLUTION; STEEL METALLOGRAPHY; THREE DIMENSIONAL;

3D SHAPES; AUTOMATED ANALYSIS; ISOPERIMETRIC INEQUALITIES; MATHEMATICAL METHODS; MOMENT INVARIANTS; PARTICLE SHAPES; PHASE FIELD SIMULATIONS; SECOND PHASE PRECIPITATES; SECOND-ORDER MOMENTS (SOM); SHAPE EVOLUTION; SIMILARITY TRANSFORMATIONS; TIME EVOLUTIONS; TWO PHASE MICROSTRUCTURE;

METHOD OF MOMENTS;

EID: 44949244850     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/16/4/045008     Document Type: Article

References (17)

1. Hu M K 1962 Visual pattern recognition by moment invariants IEEE Trans. Inform. Theory 8 179-87
2. Maitra S 1979 Moment invariants Proc. IEEE 67 697-9
3. Mostafa Y and Psaltis D 1984 Recognitive aspects of moment invariants IEEE Trans. Pattern Anal. Mach. Intell. PAMI-6 698-706
4. Cyganski D and Orr J A 1985 Application of tensor theory to object recognition and orientation determination IEEE Trans. Pattern Anal. Mach. Intell. PAMI-7 662-73
5. Teh C and Chin R 1988 On image analysis by the methods of moments IEEE Trans. Pattern Anal. Mach. Intell. 10 496-513
6. Flusser J and Suk T 1993 Pattern recognition by affine moment invariants Pattern Recognit. 26 167-74
7. Flusser J 2000 On the independence of rotation moment invariants Pattern Recognit. 33 1405-10
8. Sadjadi F A and Hall E L 1980 Three-dimensional moment invariants IEEE Trans. Pattern Anal. Mach. Intell. 2 127-36
9. Lo C H and Don H 1989 3-d moment forms: their construction and application to object identification and positioning IEEE Trans. Pattern Anal. Mach. Intell. 2 1053-64
10. Mamistvalov A G 1998 n-dimensional moment invariants and conceptual mathematical theory of recognizing n-dimensional solids IEEE Trans. Pattern Anal. Mach. Intell. 20 819-31
11. Novotni M and Klein R 2004 Shape retrieval using 3D Zernike descriptors Comput. Aided Des. 36 1047-62
12. Pólya G and Szegö G 1951 Isoperimetric Inequalities in Mathematical Physics (Princeton, NJ: Princeton University Press)
13. Hadwiger H 1955 Konkave Eikörperfunktionale und höhere Trägheitsmomente Comment. Math. Helv. 30 285-96
14. Li X, Thornton K, Nie Q, Voorhees P W and Lowengrub J S 2004 Two- and three-dimensional equilibrium morphology of a misfitting particle and the Gibbs-Thomson effect Acta Mater. 52 5829-43
15. Chen L-Q 2002 Phase-field models for microstructure evolution Ann. Rev. Mater. Res. 32 113-40
16. Wen Y H, Wang B, Simmons J P and Wang Y 2006 A phase-field model for heat-treatment applications in Ni-based alloys Acta Mater. 54 2087-99
17. MacSleyne J P, Simmons J P and De Graef M 2008 On the use of 2-D moment invariants for the automated classification of particle shapes Acta Mater. 56 427-37