References
- Akaike, H. (1992), “Information Theory and an Extension of the Maximum Likelihood Principle,” in Breakthroughs in Statistics, New York, NY: Springer, pp. 610–624.
- Arnold, T. B., and Emerson, J. W. (2011), “Nonparametric Goodness-of-Fit Tests for Discrete Null Distributions,” The R Journal, 3, 34–39.
- Dryden, I., and Mardia, K. (1998), Statistical Shape Analysis, New York, NY: Wiley.
- Fisher, N. I. (1995), Statistical Analysis of Circular Data, Cambridge, UK: Cambridge University Press.
- Fisher, N. I., and Lee, A. (1983), “A Correlation Coefficient for Circular Data,” Biometrika, 327–332.
- Green, P. J., and Mardia, K. V. (2006), “Bayesian Alignment Using Hierarchical Models, With Applications in Protein Bioinformatics,” Biometrika, 93, 235–254.
- Kendall, D. G. (1984), “Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces,” Bulletin of the London Mathematical Society, 16, 81–121.
- Lele, S. (1993), “Euclidean Distance Matrix Analysis (EDMA): Estimation of Mean Form and Mean Form Difference,” Mathematical Geology, 25, 573–602.
- Li, D., Nielsen, M. H., Lee, J. R., Frandsen, C., Banfield, J. F., and De Yoreo, J. J. (2012), “Direction-Specific Interactions Control Crystal Growth by Oriented Attachment,” Science, 336, 1014–1018.
- Mardia, K. V., Kent, J. T., Zhang, Z., Taylor, C. C., and Hamelryck, T. (2012), “Mixtures of Concentrated Multivariate Sine Distributions With Applications to bioinformatics,” Journal of Applied Statistics, 39, 2475–2492.
- Mémoli, F. (2007), “On the Use of Gromov-Hausdorff Distances for Shape Comparison,” in Eurographics Symposium on Point-based Graphics, Geneve, Switzerland: The Eurographics Association, pp. 81–90.
- Mémoli, F., and Sapiro, G. (2005), “A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data,” Foundations of Computational Mathematics, 5, 313–347.
- Mora, C., and Kwan, A. (2000), “Sphericity, Shape Factor, and Convexity Measurement of Coarse Aggregate for Concrete Using Digital Image Processing,” Cement and Concrete Research, 30, 351–358.
- Park, C., Woehl, T. J., Evans, J. E., and Browning, N. D. (2015), “Minimum Cost Multi-Way Data Association for Optimizing Large-Scale Multitarget Tracking of Interacting Objects,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, 611–624.
- Rangarajan, A., Chui, H., and Bookstein, F. L. (1997), “The Softassign Procrustes Matching Algorithm,” in Information Processing in Medical Imaging, New york, NY: Springer, pp. 29–42.
- Schmidler, S. C. (2007), “Fast Bayesian Shape Matching Using Geometric Algorithms,” Bayesian Statistics, 8, 471–490.
- Srivastava, A., Klassen, E., Joshi, S. H., and Jermyn, I. H. (2011), “Shape Analysis of Elastic Curves in Euclidean Spaces,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 33, 1415–1428.
- Wang, W. (1999), “Image Analysis of Aggregates,” Computers & Geosciences, 25, 71–81.
- Welch, D. A., Woehl, T., Park, C., Faller, R., Evans, J. E., and Browning, N. D. (2016), “Understanding the Role of Solvation Forces on the Preferential Attachment of Nanoparticles in Liquid,” ACS Nano, 10, 181–187.
- Woehl, T., Evans, J., Arslan, I., Ristenpart, W., and Browning, N. (2012), “Direct in situ Determination of the Mechanisms Controlling Nanoparticle Nucleation and Growth,” ACS Nano, 6, 8599–8610.
- Younes, L. (1998), “Computable Elastic Distances Between Shapes,” SIAM Journal on Applied Mathematics, 58, 565–586.
- Zhang, W., Crittenden, J., Li, K., and Chen, Y. (2012), “Attachment Efficiency of Nanoparticle Aggregation in Aqueous Dispersions: Modeling and Experimental Validation,” Environmental Science & Technology, 46, 7054–7062.