Publications


J. Bernal, Behavior of K-Dimensional Convexity Moduli, Doctor of Philosophy Dissertation, Catholic University of America, Washington, DC, 1980. [scanned 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.

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.

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.

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.

J. Bernal, On Constructing Delaunay Triangulations for sets Constrained by Line Segments, National Institute of Standards and Technology Technical Note 1252, 1988. [scanned PDF version].

J. Bernal, On the Expected Complexity of the 3-dimensional Voronoi Diagram, National Institute of Standards and Technology Internal Report 4321, 1990. [PostScript version].

J. Bernal, An Expected Linear 3-dimensional Voronoi Diagram Algorithm, National Institute of Standards and Technology Internal Report 4340, 1990. [PostScript version].

J. Bernal, Computing Delaunay Triangulations for Comet-shaped Polygons, National Institute of Standards and Technology Internal Report 4716, 1991. [scanned PDF version].

J. Bernal, Bibliographic Notes on Voronoi Diagrams, National Institute of Standards and Technology Internal Report 5164, 1993. [PostScript 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. [scanned 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.

J. Bernal, Inserting line segments into triangulations and tetrahedralizations, National Institute of Standards and Technology Internal Report 5596, 1995. [scanned 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. [PostScript 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. [PostScript version].

J. Bernal and C. Witzgall, Triangulation-based L1-fitting of terrain surfaces, National Institute of Standards and Technology Internal Report 6346, 1999. [PostScript 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.

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.

J. Bernal, REGTET: A Program for Computing Regular Tetrahedralizations (long version), National Institute of Standards and Technology Internal Report 6786, 2001. [PostScript 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.

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.

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. [PostScript 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. [PostScript 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. [PostScript 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].