J. Bernal, Behavior of K-Dimensional Convexity Moduli, Doctor of Philosophy Dissertation, Catholic University of America, Washington, DC, 1980. [PDF version].
J. Bernal, R. E. Chapman, and L. S. Joel, Comments on the Structure of STIFS, in Selected Assessment Strategies Applied to Short-Term Energy Models, P. B. Saunders, Editor, National Bureau of Standards Internal Report 83-2672, 1983. [PDF version].
J. Bernal and F. Sullivan, Multi-dimensional Volumes, Super-reflexivity and Normal Structure in Banach Spaces, Illinois Journal of Mathematics, Vol. 27, No. 3, pp. 501-513, 1983. [PDF version].
J. Bernal and F. Sullivan, Banach Spaces that have Normal Structure and are Isomorphic to a Hilbert Space, Proceedings of the American Mathematical Society, Vol. 90, No. 4, pp. 550-554, 1984. [PDF version].
J. Bernal, B. A. Mandel, and C. Witzgall, Non-linear Contour-to-grid Digital Interpolation, Proceedings of the Conference on Mapping, Charting, and Geodesy, Department of Defense, 1986. [PDF version].
J. Bernal, B. A. Mandel, and C. Witzgall, Contour-to-grid Interpolation with Non-linear Finite Elements: a Feasibility Study, Engineer Topographic Laboratories Technical Report 0472, 1987. [PDF version].
J. Bernal, Expected O(n) and O(n^{4/3}) Algorithms for Constructing Voronoi Diagrams in Two and Three Dimensions, National Bureau of Standards Internal Report 87-3679, 1987. [PDF version].
J. Bernal, On Constructing Delaunay Triangulations for sets Constrained by Line Segments, National Institute of Standards and Technology Technical Note 1252, 1988. [PDF version].
J. Bernal, On the Expected Complexity of the 3-dimensional Voronoi Diagram, National Institute of Standards and Technology Internal Report 4321, 1990. [PDF version].
J. Bernal, An Expected Linear 3-dimensional Voronoi Diagram Algorithm, National Institute of Standards and Technology Internal Report 4340, 1990. [PDF version].
J. Bernal, Computing Delaunay Triangulations for Comet-shaped Polygons, National Institute of Standards and Technology Internal Report 4716, 1991. [PDF version].
J. Bernal, Bibliographic Notes on Voronoi Diagrams, National Institute of Standards and Technology Internal Report 5164, 1993. [PDF version].
J. Bernal, The Growth Surface for the Slopes at the Boundary of a Polygon, National Institute of Standards and Technology Internal Report 5344, 1994. [PDF version].
I. Beichl, J. Bernal, F. Sullivan, and C. Witzgall, Submissions to a Planned Encyclopedia of Operations Research on Computational Geometry and the Voronoi/Delaunay Construct, National Institute of Standards and Technology Internal Report 5349, 1994. [PDF version].
J. Bernal, Inserting line segments into triangulations and tetrahedralizations, National Institute of Standards and Technology Internal Report 5596, 1995. [PDF version].
J. Bernal, Inserting line segments into triangulations and tetrahedralizations, Actas de los VI Encuentros de Geometria Computacional, Universitat Politecnica de Catalunya, Barcelona, Spain, 1995. [PDF version].
F. Y. Hunt, J. F. Douglas, and J. Bernal, Probabilistic computation of Poiseuille flow velocity fields, J. Math. Phys. 36 (5), May 1995. [PDF version].
I. Beichl, J. Bernal, F. Sullivan, and C. Witzgall, Computational Geometry, Encyclopedia of Operations Research and Management Science, edited by S. I. Gass and C. M. Harris, Kluwer Academic Publishers, pp. 98-103, 1996.
I. Beichl, J. Bernal, F. Sullivan, and C. Witzgall, Voronoi Constructs, Encyclopedia of Operations Research and Management Science, edited by S. I. Gass and C. M. Harris, Kluwer Academic Publishers, pp. 726-729, 1996.
J. Bernal, Lexicographical manipulations for correctly computing regular tetrahedralizations with incremental topological flipping, National Institute of Standards and Technology Internal Report 6335, 1999. [PDF version].
J. Bernal and C. Witzgall, Triangulation-based L1-fitting of terrain surfaces, National Institute of Standards and Technology Internal Report 6346, 1999. [PDF version].
G. S. Cheok, R. R. Lipman, C. Witzgall, J. Bernal, W. C. Stone, NIST construction automation program report no. 4: Non-intrusive scanning technology for construction status determination, National Institute of Standards and Technology Internal Report 6457, 2000. [PDF version].
G. S. Cheok, R. R. Lipman, C. Witzgall, J. Bernal, W. C. Stone, Field demonstration of Laser scanning for excavation measurement, Proceedings of the 17th IAARC/CIB/IEEE/IFAC/IFR International symposium on automation and robotics in construction, Taipei, Taiwan, September 18-20, 2000, pp. 683-688. [PDF version].
A. M. Casas, A. L. Cortes, A. Maestro, M. A. Soriano, A. Riaguas, J. Bernal, LINDENS: A program for lineament length and density analysis, Computers & Geosciences 26 (2000) 1011-1022. [PDF version].
G. S. Cheok, W. C. Stone, R. R. Lipman, C. Witzgall, J. Bernal, Laser scanning for construction metrology, Proceedings of the American Nuclear Society 9th International Topical Meeting on Robotics and Remote Systems, Seattle, WA, March, 2001. [PDF version].
J. Bernal, REGTET: A Program for Computing Regular Tetrahedralizations, Proceedings of the International Conference on Computational Science (ICCS 2001), San Francisco, California, USA, May 28-30, 2001, LNCS 2073, pp. 629-632. [PDF version].
J. Bernal, REGTET: A Program for Computing Regular Tetrahedralizations (long version), National Institute of Standards and Technology Internal Report 6786, 2001. [PDF version].
W. E. Wallace, C. M. Guttman, A. J. Kearsley, J. Bernal, Advanced numerical methods for polymer mass spectral data analysis, Proceedings of the 50th ASMS Conference on Mass Spectrometry and Allied Topics, Orlando, FL, June 2-6, 2002. [PDF version].
A. J. Kearsley, W. E. Wallace, J. Bernal, C. M. Guttman, Automated peak picking and integration algorithm for mass spectral data, Proceedings of the 51th ASMS Conference on Mass Spectrometry and Allied Topics, Montreal, Quebec, Canada, June 8-12, 2003. [PDF version].
C. Witzgall, J. Bernal, G. S. Cheok, TIN Techniques for Data Analysis and Surface Construction, National Institute of Standards and Technology Internal Report 7078, 2004. [PDF version].
J. Bernal, C. Witzgall, Integer Representation of Decimal Numbers for Exact Computations, National Institute of Standards and Technology Internal Report 7144, 2004. [PDF version].
A. J. Kearsley, W. E. Wallace, J. Bernal, C. M. Guttman, A numerical method for mass spectral data analysis, Applied Mathematics Letters 18 (2005) 1412-1417. [PDF version].
J. Bernal, C. Witzgall, Integer Representation of Decimal Numbers for Exact Computations, Journal of Research of the National Institute of Standards and Technology, Vol. 111, No. 2, 79-88, March-April 2006. [PDF version].
J. Bernal, AGGRES: A Program for Computing Power Crusts of Aggregates, National Institute of Standards and Technology Internal Report 7306, 2006. [PDF version].
A. Peskin, K. Kafadar, A. Dima, J. Bernal, D. Gilsinn, Synthetic lung tumor data sets for comparison of volumetric algorithms, Proceedings of the International Conference on Image Processing, Computer Vision, and Pattern Recognition, Las Vegas, Nevada, July 13-14, 2009. [PDF version].
J. Bernal, Linking Canny Edge Pixels with Pseudo-watershed Lines, National Institute of Standards and Technology Internal Report 7673, 2010. [PDF version].
A. A. Dima, J. T. Elliot, J. J. Filliben, M. Halter, A. Peskin, J. Bernal, M. Kociolek, H. C. Tang, A. L. Plant, Comparison of segmentation algorithms for fluorescence microscopy images of cells, Cytometry Part A, 79A: 545-559, 2011. [PDF version].
C. Hagwood, J. Bernal, M. Halter, J. Elliot, Evaluation of segmentation algorithms on cell populations using CDF curves, IEEE Transactions on Medical Imaging, Vol. 31, No. 2, 380-390, February 2012. [PDF version].
C. Hagwood, J. Bernal, M. Halter, J. Elliot, T. Brennan, Testing Equality of Cell Populations Based on Shape and Geodesic Distance, IEEE Transactions on Medical Imaging, Vol. 32, No. 12, 2230-2237, December 2013. [PDF version].
J. Bernal, NEURBT: A Program for Computing Neural Networks for Classification using Batch Learning, National Institute of Standards and Technology Internal Report 8037, 2015. [PDF version].
J. Torres-Jimenez, I. Izquierdo-Marquez, A. Garcia-Robledo, A. Gonzalez-Gomez, J. Bernal, R. N. Kacker, A dual representation simulated annealing algorithm for the bandwidth minimization problem on graphs, Information Sciences, 303, 33-49, 2015. [PDF version].
G. Dogan, J. Bernal, C. Hagwood, A Fast Algorithm for Elastic Shape Distances between Closed Planar Curves, Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Boston, Massachusetts, 4222-4230, June 7-12, 2015. [PDF version].
J. Bernal, J. Torres-Jimenez, SAGRAD: A Program for Neural Network Training with Simulated Annealing and the Conjugate Gradient Method, Journal of Research of the National Institute of Standards and Technology, Vol. 120, 113-128, June 17, 2015. [PDF version].
G. Dogan, J. Bernal, C. Hagwood, FFT-based Alignment of 2d Closed Curves with Application to Elastic Shape Analysis, Proceedings of the 1st International Workshop on DIFFerential Geometry in Computer Vision for Analysis of Shapes, Images and Trajectories (DIFF-CV) 2015 in conjunction with British Machine Vision Conference (BMVC), H. Drira, S. Kurtek, an P. Turaga, editors, pages 12.1-12.10. BMVA Press, Swansea, Wales, UK, September 2015. [PDF version].
J. Bernal, G. Dogan, C. Hagwood, Fast Dynamic Programming for Elastic Registration of Curves, Proceedings of the 2nd International Workshop on Differential Geometry in Computer Vision and Machine Learning (DIFF-CVML'16) in conjunction with Computer Vision Pattern Recognition Conference (CVPR) 2016, pages 1066-73, Las Vegas, Nevada, June 26-July 1, 2016. [PDF version].
J. Bernal, Shape Analysis, Lebesgue Integration and Absolute Continuity Connections, National Institute of Standards and Technology Internal Report 8217, 2018. [PDF version].
J. Lawrence, J. Bernal, C. Witzgall, A Purely Algebraic Justification of the Kabsch-Umeyama Algorithm, Journal of Research of the National Institute of Standards and Technology, Vol. 124, October 9, 2019. [PDF version].
J. Bernal, J. Lawrence, Characterization and Computation of Matrices of Maximal Trace over Rotations, Journal of Geometry and Symmetry in Physics, Vol. 53, October 25, 2019. [PDF version].
J. Bernal, J. Lawrence, G. Dogan, C. Hagwood, On Computing Elastic Shape Distances between Curves in d−dimensional Space , National Institute of Standards and Technology Technical Note 2164, 2021. [PDF version].
J. Bernal, J. Lawrence, Partial Elastic Shape Registration of 3D Surfaces using Dynamic Programming , National Institute of Standards and Technology Technical Note 2274, 2023. [PDF version].