Modeling 3D fruit tissue microstructure using a novel ellipsoid tessellation algorithm

CMES - Computer Modeling in Engineering and Sciences

Volumn 29, Issue 3, 2008, Pages 137-149

  Mebatsion, H K ^a   Verboven, P ^a   Jancsok P T ^a   Ho, Q T ^a   Verlinden, B E ^b   Nicolai B M ^a,b  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b Flanders Centre of Postharvest Technology   (Belgium)

Author keywords

Gas transport; Microtomography; Multi scale modelling; Virtual tissue; Water transport

Indexed keywords

ALGORITHMS; CURVE FITTING; FINITE ELEMENT METHOD; FISCHER-TROPSCH SYNTHESIS; FLUID DYNAMICS; FRUIT JUICES; IMAGE ENHANCEMENT; MICROSTRUCTURE; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; NUMERICAL METHODS; REAL TIME SYSTEMS; THREE DIMENSIONAL; TISSUE;

GAS TRANSPORT; MICROTOMOGRAPHY; MULTI-SCALE MODELLING; VIRTUAL TISSUE; WATER TRANSPORT;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 55349118472     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (36)

1. Baruchel, J.; Buffiere, J.Y.; Cloetens, P.; Michiel, M.D.; Feme, E.; Ludwig, W.; Maire, E.; Salvo, L. (2006): Advances in synchrotron radiation microtomography. Scripta Mater. 55, pp 41-46.
2. Boyd, S.; Vandenberghe, L. (2004): Convex optimization. Cambridge University Press, UK,
3. Brahme, A.; Alvi, M.H.; Saylor, D.; Fridy, J.; Rollett, A.D. (2006): Three-dimensional reconstruction of microstructure in commercial purity aluminium. Scripta Mater. 55, pp 75-80.
4. Chawla, N.; Chawla, K.K. (2006): Microstructure based modelling of the deformation behaviour of particle reinforced metal matrix composites. J. Mater. Sci. 41, pp 913-925.
5. Cloetens, P.; Mache, R.; Schlenker, M.; Mach, S.L. (2006): Quantitative phase tomography of Arabodopsis seeds reveals intercellular void network. PNAS 103, pp 14626-14630.
6. Fitzgerald, G.; Goldbeck-Wood, G.; Kung, P.; Petersen, M.; Subramanian, L.; Wescott, J. (2008): Materials modeling from quantum mechanics to the mesoscale. CMES: Computer Modeling in Engineering & Sciences 24(3), pp 169-183.
7. Fletcher, L. (1993): Practical methods of optimization. John Wiley & Sons Ltd, Chichester, UK.
8. Gotoh, J.; Kanno, H. (2006): Minimal ellipsoid circumscribing a polytope defined by a system of linear inequalities. J. Global Optim. 34, pp 1-14.
9. Groeber, M.; Uchic, M.D.; Dimiduk, D.M.; Bhandari, Y.; Ghosh, S. (2006): The third multi-scale material modelling international conference: Conference proceeding, pp 438-446, Frieburg, Germany.
10. Groeber, M.A.; Haley, B.K.; Uchic, M.D.; Dimiduk, D.M.; Gosh, S. (2006): Threedimensional reconstruction and characterization of polycrystalline microstructures using a FIBSEM system. Mater. Charact. 57, pp 259-273.
11. Hakenberg, R.H.; Shiflet, G.J. (2007): A serial sectioning technique for evaluating grain and twin boundary precipitate growth kinetics in bulk specimens. Mater. Charact. 58, pp 211-219.
12. Ho, Q.T.; Verlinden, B.E.; Verboven, P.; Nicolaï, B.M. (2006): Gas diffusion properties at different positions in the pear. Postharvest Biol. Technol. 41, pp 113-120.
13. Kouznetsova, V.; Brekelmans, W.A.M.; Baaijens, F.P.T. (2001): An approach to micro-macro modelling of heterogeneous materials. Comput. Mech. 27, pp 37-48.
14. Kral, M.V.; Spanos, G. (1999): Threedimensional analysis of proeutectoid cementite precipitates. Acta Materialia 47, pp 711-724.
15. Kumar, P.; Yildrem, E.A. (2005): Minimum volume circumscribing ellipsoids (MVCE) s and core sets. J. Optimiz. Theory App. 126, pp 1-121.
16. Larson, B.C.; Yang, W.; Ice, G.E.; Budal, J.B.; Tischler, J.Z. (2002): Three-dimensional X-ray structure microscopy with sub-micrometer resolution. Nature 415, pp 887-890.
17. Lee, S.G.; Gokhale, A.M.; Sreeranganathan, A. (2006): Reconstruction and visualization of complex three-dimensional pore morphologies in a high-pressure die-cast magnesium alloy. Mat. Sci. Eng. A-Struct. 427, pp 92-98.
18. Luo, Z.Q.; Yu, W. (2006): An introduction to convex optimization for communications and signal processing, IEEE journal on selected areas in communications 24(8), pp 1426-1438.
19. Ma, J.; Lui, Y.; Lu, H.; Komanduri, R. (2006): Multiscale simulation of Nanoindentation using the generalized interpretation material point (GIMP) method, dislocation dynamics (DD) and molecular dynamics (MD). CMES: Computer Modeling in Engineering & Sciences 16(1), pp 41-55.
20. Mebatsion, H.K.; Verboven, P.; Ho, Q.T.; Mendoza, F.; Verlinden, B.; Nguyen, A.T.; Nicolai, B.M. (2006a): Modeling fruit microstructure using novel ellipse tessellation algorithm. CMES: Computer Modeling in Engineering & Sciences 14(1), pp 1-14.
21. Mebatsion, H.K.; Verboven, P.; Verlinden, B.; Ho, Q.T.; Nguyen, A.T.; Nicolaï, B.M. (2006b): Microscale modelling of fruit tissue using Voronoi tessellations. Comput. Electron. Agric. 52, pp 36-48.
22. Mendoza, F.; Verboven, P.; Mebatsion, H.K.; Kerckhofs, G.; Wevers, M.; Nicolaï, B.M. (2007): Three-dimensional pore space quantification of apple tissue using x-ray computed microtomography. Planta 226(3), pp 559-570.
23. Mishnaevsky, Jr.L.L. (2005): Automatic voxel based generation of three-dimensional microstructural FE models and its application to the damage analysis of composites. Mat. Sci. Eng. A -Struct 407, pp 11-23.
24. Rajapakse, N.C.; Banks, N.H.; Hewett, E.W.; Cleland, D.J. (1990): Development of oxygen concentration gradients in flesh tissues of bulky plant organs. J. Amer. Soc. Hortic. Sci. 115, pp 793-797.
25. Saldanha, R.R.; Coulomb, J.L.; Sabonnadiere (1992): An ellipsoid algorithm for the optimum design of magnetostatic problem. IEEE transactions on magnetics 28(2), pp 1573-1576.
26. Salvo, L.; Cloetens, P.; Maire, E.; Zabler, S.; Blandin, J.J.; Buffière, J.Y.; Ludwig, W.; Boiler, E.; Bellet, D.; Josserond, C. (2003): X-ray microtomography an attractive characterization technique in materials science. Nuc. Instrum. Meth. B, 200, pp 273-286.
27. Shoemake, K. (1985): Animating rotation with quaternion curves. Proc. SIG-GRAPH, 19, pp 245-254.
28. Spowart, J.E. (2006): Automated serial sectioning for three-dimensional analysis of microstructures. Scripta Mater. 55, pp 5-10.
29. Sun, P.; Freund, R.M. (2004): Computation of minimum volume covering ellipsoids. Operational research 52(5), pp 690-706.
30. Titterington, D.M. (1978): Estimation of correlation coefficients by ellipsoid trimming. Applied statistics 27, pp 227-234.
31. Todd, M. J.; Yildirim, E. A. (2007): On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids. Discrete Appl. Math. 155, pp 1731-1744.
32. Uchic, M.D.; Groeber, M.A.; Dimiduk, D.M.; Simmons, J.P. (2006): Three-dimensional microstructural characterization of nickel super alloys via serial-sectioning using a dual beam FIBSEM. Scripta Mater. 55, pp 23-28.
33. Verboven, P.; Kerckhofs, G.; Mebatsion, H.K.; Ho, Q.T.; Temst, K.; Wevers, M.; Cloetens, P.; Nicolaï, B.M. (2008): 3-D gas exchange pathways in pome fruit characterised by synchrotron X-ray computed tomography. Plant Physiol. (accepted).
34. Volz, R.K.; Harker, F.R.; Hallet, I.C.; Lang, A. (2004): Development of texture in apple fruit - a biophysical perspective. Acta Hort. 636, pp 473-479.
35. Yearsley, C.W.; Banks, N.H.; Ganesh, S. (1997a): Temperature effects on the internal lower oxygen limits of apple fruit. Postharvest Biol. Technol. 11, pp 73-83.
36. Yearsley, C.W.; Banks, N.H.; Ganesh, S. (1997b): Effects of carbon dioxide on the internal lower oxygen limits of apple fruit. Postharvest Biol. Technol. 12, pp 1-13.