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9. References

[1] E.J. Garboczi, Three-dimensional mathematical analysis of particle shape using x-ray tomography and spherical harmonics: Application to aggregates used in concrete, Cem. Conc. Res. 32, 1621-1638 (2002).

[2] J.F. Douglas and E.J. Garboczi, Intrinsic viscosity and polarizability of particles having a wide range of shapes, Adv. Chem. Phys. 91, 85-153 (1995).

[3] E.J. Garboczi, K.A. Snyder, J.F. Douglas, and M.F. Thorpe, Geometrical percolation threshold of overlapping ellipsoids, Phys. Rev. E 52, 819-828 (1995).

[4] E.J. Garboczi and J.F. Douglas, Intrinsic conductivity of objects having arbitrary shape and conductivity, Phys. Rev. E 53, 6169-6180 (1996).

[5] M.L. Mansfield, J.F. Douglas, and E.J. Garboczi, Intrinsic viscosity and the electrical polarizability of arbitrarily shaped objects, Phys. Rev. E 64, 61401-61416 (2001).

[6] A.C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging (SIAM, Philadelphia, 2001).

[7] E.J. Garboczi, N.S. Martys, H.B. Saleh, and R. A. Livingston, Acquiring, analyzing, and using complete three-dimensional aggregate shape information, Proceedings of International Center for Aggregate Research 2001 Annual Symposium (2001, on CD).

[8] www.povray.org POVRAY is a free software package for creating three-dimensional graphics. The main reference is this web site, and any documentation exists here, not in a printed book form.

[9] D.W. Luerkens, Theory and Application of Morphological Analysis: Fine Particles and Surfaces (CRC Press, Boca Raton, Florida, 1991).

[10] D.W. Ritchie and G.J.L. Kemp, Fast computation, rotation, and comparison of low resolution spherical harmonic molecular surfaces, J. Comp. Chem. 20, 383-395 (1999).

[11] M.A. Taylor, E.J. Garboczi, S.T. Erdogan, and D.W. Fowler, Some properties of irregular particles in 3-D, submitted to Powder Tech. (2005).

[12] J.C. Russ, The Image Processing Handbook, Fourth Edition (CRC Press, Boca Raton, Florida, 2002).

[13] www.web3d.org/resources/vrml_ref_manual/Book.html This web site also gives a reference to a hard bound book with the same text. To learn VRML from scratch, just search the web for a VRML tutorial − there are many good ones.

[14] ASTM Annual Book of Standards, Vol. 04.03 Concrete and Concrete-Making Materials (American Society for Testing and Materials, West Conshohocken, PA) 1999.

[15] P. Quiroga. The Effect of the Aggregate Characteristics on the Performance of Portland Cement Concrete, Ph.D. Dissertation, University of Texas at Austin. December 2003.

[16] S.T. Erdogan. The Effect of Aggregates on the Properties of Concrete and Proportioning Methods, M.S. Thesis, The University of Texas at Austin. August 2003.

[17] E. Masad, S. Saadeh, T. Al-Rousan, E.J. Garboczi, D. Little, Computations of particle surface characteristics using optical and x-ray computed tomography images, submitted to J. of Comp. Mater. Sci. (2005), in press.

[18] J.C. Davis, Statistics and Data Analysis in Geology, 3rd edition (Wiley, 2002).

[19] G. Calafiore, Approximation of n-dimensional data using spherical and ellipsoidal primitives, IEEE Trans. System Part A 32, 269 (2002).

[20] S. Leicester, J. Finney, and R. Bywater, A quantitative representation of molecular surface shape. I.: Theory and development of the method, J. Math. Chem. 16, 315-341 (1994).

[21] M.A. Taylor, Quantitative measures for shape and size of particles, Powder Tech. 124, 94-100 (2002).

[22] M. Grigoriu, E.J. Garboczi, and C. Kafali, Spherical harmonic-based random fields for aggregates used in concrete, submitted to Powder Tech. (2005).

[23] http://ciks.cbt.nist.gov/monograph, see button for VCCTL.


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