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Publications


  1. Predicting Millimeter Wave Radar Spectra for Autonomous Navigation by E. Jose, M. Adams, J. Mullane, N. M. Patrikalakis. IEEE Sensors Journal, Volume: 10, Issue: 5, 2010. (10.1109/JSEN.2009.2037013)

  2. Three-Dimensional Object Registration Using Wavelet Features
    by J. S. Chalfant and N. M. Patrikalakis.
    Engineering with Computers. Accepted for publication, 2008.

  3. Path Planning of Autonomous Underwater Vehicles for Adaptive Sampling Using Mixed Integer Linear Programming
    by N. K. Yilmaz, C. Evangelinos, P. F. J. Lermusiaux, and N. M. Patrikalakis.
    IEEE Transactions, Journal of Oceanic Engineering. Vol. 33 (4), pp. 522-537, October 2008. DOI: 10.1109/JOE.2008.2002105.

  4. Analysis of Validated Error Bounds of Surface-to-Surface Intersection
    by K.H. Ko and N. M. Patrikalakis.
    Computer Aided Design, Vol. 40, No. 3, pp. 273-280, March 2008.

  5. Solving Nonlinear Polynomial Systems in the Barycentric Bernstein Basis
    by M. Reuter, T. S. Mikkelsen, E. C. Sherbrooke, T. Maekawa and N. M. Patrikalakis.
    The Visual Computer. Vol. 24, No. 3, pp. 187-200, March 2008.

  6. A Reliable Algorithm for Computing the Topological Degree of a Mapping in R2
    by K. H. Ko, T. Sakkalis and N. M. Patrikalakis.
    Applied Mathematics and Computation. Vol. 196, Issue 2, pp. 666-678, March 2008.

  7. Approximation of Involute Curves for CAD-System Processing
    by F. Higuchi, S. Gofuku, T. Maekawa, H. Mukundan, and N. M. Patrikalakis.
    Engineering with Computers. Vol. 23, No. 3, pp. 207-214, September 2007.

  8. Web-Enabled Configuration and Control of Legacy Codes: An Application to Ocean Modelling
    by C. Evangelinos, P. F. J. Lermusiaux, S. K. Geiger, R. C. Chang, and N. M. Patrikalakis.
    Ocean Modelling, Vol. 13, No. 3-4, pp. 197-220, 2006.

  9. Resolution of Multiple Roots of Nonlinear Polynomial Systems
    by K. H. Ko, T. Sakkalis and N. M. Patrikalakis.
    International Journal of Shape Modeling, Vol. 11, No. 1, pp. 121-147, June 2005.

  10. Algorithms for Optimal Partial Matching of Free-Form Objects with Scaling Effects
    by K. H. Ko, T. Maekawa and N. M. Patrikalakis.
    Graphical Models, Vol. 67, No. 2, pp. 120-148, March 2005.

  11. Surface to Surface Intersections
    by N. M. Patrikalakis, T. Maekawa, K. H. Ko, and H. Mukundan.
    Computer-Aided Design and Applications, Vol. 1, No. 1-4, pp. 449-458, 2004.

  12. Methods for Feature-Based Design of Heterogeneous Solids
    by H. Liu, T. Maekawa, N. M. Patrikalakis, E. M. Sachs, and W. Cho.
    Computer Aided Design. Vol. 36, No. 12, pp. 1141-1159, October 2004.

  13. Isotopic Approximations and Interval Solids
    by T. Sakkalis, T. J. Peters, and J. Bisceglio
    Computer Aided Design. Vol. 36, No. 11, pp. 1089-1100, September 2004.

  14. Computational Topology for Regular Closed Sets (Within the I-TANGO Project)
    by T. J. Peters, J. Bisceglio, D. R. Ferguson, C. M. Hoffmann, T. Maekawa, N. M. Patrikalakis, T. Sakkalis and N. F. Stewart.
    On-line Journal Topology Atlas Invited Contributions. Vol. 9, No. 1, pp. 12, 2004
    Also archived at the Mathematics Archive.

  15. Shape Intrinsic Properties for Free-Form Object Matching
    by K. H. Ko, T. Maekawa, N. M. Patrikalakis, H. Masuda, and F.-E. Wolter.
    ASME Transactions, Journal of Computing and Information Science in Engineering. Vol. 3, No. 4, pp. 325-333, December 2003.

  16. An Algorithm for Optimal Free-Form Object Matching
    by K. H. Ko, T. Maekawa and N. M. Patrikalakis.
    Computer Aided Design. Vol. 35, No. 10, pp. 913-923, September 2003.

  17. A Dithering Algorithm for Local Composition Control with Three-Dimensional Printing
    by W. Cho, E. M. Sachs, N. M. Patrikalakis and D. E. Troxel.
    Computer Aided Design. Vol. 35, No. 9, pp. 851-867, August 2003.

  18. Surface Construction by Fitting Unorganized Curves
    by T. Maekawa and K. H. Ko.
    Graphical Models. 64(5):316-332, September 2002.

  19. Analysis of Solid Model Representations for Heterogeneous Objects
    by T. R. Jackson, W. Cho, N. M. Patrikalakis and E. M. Sachs.
    ASME/ACM Transactions, Journal of Computing and Information Science in Engineering. Vol. 2, No. 1, pp. 1-10, March 2002.

  20. Self-Intersections of Offset Curves and Surfaces
    by J. Wallner, T. Sakkalis, T. Maekawa, H. Pottmann, G. Yu.
    International Journal of Shape Modelling, 7(1):1-21, June 2001.

  21. Topological and Geometric Properties of Interval Solid Models
    by T. Sakkalis, G. Shen, and N. M. Patrikalakis.
    Graphical Models, 63(3):163-175, May 2001.

  22. Boundary Representation Model Rectification
    by G. Shen, T. Sakkalis, and N. M. Patrikalakis.
    Graphical Models. 63(3):177-195, May 2001.

  23. FEM Simulation of Laser Forming of Metal Plates
    by G. Yu, K. Masubuchi, T. Maekawa, and N. M. Patrikalakis.
    ASME Transactions, Journal of Manufacturing Science and Engineering. 123(3):405-410, August 2001.

  24. Efficient Simulation of Shell Forming by Line Heating
    by G. Yu, R. J. Anderson, T. Maekawa and N. M. Patrikalakis.
    International Journal of Mechanical Sciences. 43(10):2349-2370, October 2001.

  25. CNC Tool Path in Terms of B-Spline Curves
    by C. Lartigue, F. Thiebaut, and T. Maekawa.
    Computer Aided Design. Vol. 33, No. 4, pp. 307-319, April 2001.

  26. Representational Validity of Boundary Representation Models
    by T. Sakkalis, G. Shen, and N. M. Patrikalakis.
    Computer Aided Design. Vol. 32, No. 12, pp. 719-726, October 2000.

  27. Optimal Development of Doubly Curved Surfaces
    by G. Yu, N. M. Patrikalakis, and T. Maekawa.
    Computer Aided Geometric Design. Vol. 17, No. 6, pp. 545-577, July 2000.

  28. Differential Geometry of Intersection Curves of Two Surfaces
    by X. Ye and T. Maekawa.
    Computer Aided Geometric Design. Vol. 16, No. 8, pp. 767-788, September 1999.

  29. Modeling and Designing Functionally Graded Material Components for Fabrication with Local Composition Control
    by T. R. Jackson, H. Liu, N. M. Patrikalakis, E. M. Sachs and M. J. Cima.
    Materials and Design. Vol. 20, No. 2-3, pp. 63-75, June 1999.

  30. An Overview of Offset Curves and Surfaces
    by T. Maekawa.
    Computer Aided Design. Vol. 31, No. 3, pp. 165-173, March 1999.

  31. Topologically Reliable Approximation of Trimmed Polynomial Surface Patches
    by W. Cho, T. Maekawa, N. M. Patrikalakis and J. Peraire.
    Graphical Models and Image Processing. Vol. 61, No. 2, pp. 84-109, March 1999.

  32. Approximate Development of Trimmed Patches for Surface Tessellation
    by W. Cho, N. M. Patrikalakis and J. Peraire. Computer Aided Design.
    Vol. 30, No. 14, pp. 1077-1087, December 1998.

  33. Computation of Inflection Lines and Geodesics on Developable Surfaces
    by T. Maekawa and J. S. Chalfant.
    Mathematical Engineering in Industry. Vol. 7, No. 2, pp. 251-267, 1998.

  34. Design for Manufacturing Using B-Spline Developable Surfaces
    by J. S. Chalfant and T. Maekawa.
    Journal of Ship Research. Vol. 42, No. 3, pp. 207-215, 1998.

  35. Design and Tessellation of B-Spline Developable Surfaces
    by T. Maekawa and J. S. Chalfant.
    Journal of Mechanical Design, ASME Transactions. Vol. 120, No. 3, pp. 453-461, September 1998.

  36. Numerical and Geometric Properties of Interval B-Splines
    by G. Shen and N. M. Patrikalakis.
    International Journal of Shape Modeling. Vol. 4, No. 1 and 2, pp. 35-62, March and June 1998.

  37. Efficient and Reliable Methods for Rounded Interval Arithmetic
    by S. L. Abrams, W. Cho, C. - Y. Hu, T. Maekawa, N. M. Patrikalakis, E. C. Sherbrooke, and X. Ye.
    Computer Aided Design. Vol. 30, No. 8, pp. 657-665, July 1998.

  38. Analysis and Applications of Pipe Surfaces
    by T. Maekawa, N. M. Patrikalakis, T. Sakkalis, and G. Yu.
    Computer Aided Geometric Design. Vol. 15, No. 5, pp. 437-458, May 1998.

  39. Self-Intersections of Offsets of Quadratic Surfaces: Part II, Implicit Surfaces'
    by T. Maekawa.
    Engineering with Computers. Vol. 14, pp. 14-22, 1998.

  40. Self-Intersections of Offsets of Quadratic Surfaces: Part I, Explicit Surfaces
    by T. Maekawa.
    Engineering with Computers. Vol. 14, pp. 1-13, 1998.

  41. Approximation of Measured Data with Interval B-Splines
    by S. T. Tuohy, T. Maekawa, G. Shen and N. M. Patrikalakis.
    Computer Aided Design. Vol. 29, No. 11, pp. 791-799, November 1997.

  42. A Visual Tool for Demonstrating Surface Curvature
    by S. T. Tuohy.
    Computer Applications in Engineering Education. Vol. 5, No. 1, pp. 21-27, 1997.

  43. GC1 Multisided Bezier Surfaces Complexes
    by X. Ye, H. Nowacki and N. M. Patrikalakis.
    Engineering with Computers. Vol. 13, No. 4, pp. 222-234, 1997.

  44. Curvature Continuous Interpolation of Curve Meshes
    by X. Ye.
    Computer Aided Geometric Design. Vol. 14, No. 2, pp 169-190, February 1997.

  45. Scattered Data Fitting with Simplex Splines in Two and Three Dimensional Spaces
    by J. Zhou, N. M. Patrikalakis, S. T. Tuohy, and X. Ye.
    The Visual Computer. Vol. 13, No. 7, pp. 295-315, 1997.

  46. Robust Interval Algorithm for Surface Intersections
    by C. - Y. Hu, T. Maekawa, N. M. Patrikalakis and X. Ye.
    Computer Aided Design. Vol. 29, No. 9, pp. 617-627, September 1997.

  47. Computation of Self-Intersections of Offsets of Bezier Surface Patches
    by T. Maekawa, W. Cho and N. M. Patrikalakis.
    Journal of Mechanical Design, ASME Transactions. Vol. 119, No. 2, pp. 275-283, June 1997.

  48. Computation of Shortest Paths on Free-Form Parametric Surfaces
    by T. Maekawa.
    Journal of Mechanical Design, ASME Transactions. Vol. 118, pp. 499-508, December 1996.

  49. Differential and Topological Properties of Medial Axes
    by E. C. Sherbrooke, N. M. Patrikalakis and F. - E. Wolter.
    Graphical Models and Image Processing. Vol. 58, No. 6, pp. 574-592, November 1996.

  50. The Gaussian and Mean Curvature Criteria for Curvature Continuity Between Surfaces
    by X. Ye.
    Computer Aided Geometric Design. Vol. 13, No. 6, pp. 549-567, August 1996.

  51. Topologically Reliable Approximation of Composite Bezier Curves
    by W. Cho, T. Maekawa and N. M. Patrikalakis.
    Computer Aided Geometric Design. Vol. 13, No. 6, pp. 497-520, August 1996.

  52. Robust Interval Solid Modeling: Part II, Boundary Evaluation
    by C. -Y. Hu, N. M. Patrikalakis and X. Ye.
    Computer Aided Design. Vol. 28, No. 10, pp. 819-830, October 1996.

  53. Robust Interval Solid Modeling: Part I, Representations by C. -Y. Hu, N. M. Patrikalakis and X. Ye.
    Computer Aided Design. Vol. 28, No. 10, pp. 807-817, October 1996.

  54. Geometric Design of Functional Surfaces
    by X. Ye, T. R. Jackson and N. M. Patrikalakis.
    Computer Aided Design. Vol. 28, No. 9, pp. 741-752, September 1996.
    Errata: Vol. 29, No. 8, p. 599, August 1997.

  55. Nonlinear Data Representation for Ocean Exploration and Visualization
    by S. T. Tuohy and N. M. Patrikalakis.
    Journal of Visualization and Computer Animation. Vol. 7, No. 3, pp. 125-139, July-September 1996.

  56. Robust Interval Algorithm for Curve Intersections
    by C. - Y. Hu, T. Maekawa, E. C. Sherbrooke and N. M. Patrikalakis.
    Computer Aided Design. Vol. 28, No. 6/7, pp. 495-506, June/July 1996.

  57. Surface Curve Design by Orthogonal Projection of Space Curves Onto Free-Form Surfaces
    by J. Pegna and F.- E. Wolter.
    Journal of Mechanical Design, ASME Transactions. Vol. 118, No. 1, pp. 45-52, March 1996.

  58. Umbilics and Lines of Curvature for Shape Interrogation
    by T. Maekawa, F. - E. Wolter, and N. M. Patrikalakis.
    Computer Aided Geometric Design. Vol. 13, No. 2, pp. 133-161, March 1996.

  59. An Algorithm for the Medial Axis Transform of 3-D Polyhedral Solids
    by E. C. Sherbrooke, N. M. Patrikalakis and E. Brisson.
    IEEE Transactions on Visualization and Computer Graphics. Vol. 2, No. 1, pp. 44-61, March 1996.

  60. Map Based Navigation for Autonomous Underwater Vehicles
    by S. T. Tuohy, J. J. Leonard, J. G. Bellingham, N. M. Patrikalakis, and C. Chryssostomidis.
    International Journal of Offshore and Polar Engineering. Vol. 6, No. 1, pp. 9-18, March 1996.

  61. Generating Bezier Points for Curves and Surfaces from Boundary Information
    by X. Ye.
    Computer Aided Design. Vol. 27, No. 12, pp. 875-885, December 1995.

  62. The Geometric Modeling and Interrogation System Praxiteles
    by S. L. Abrams, L. Bardis, C. Chryssostomidis, N. M. Patrikalakis, S. T. Tuohy, F. - E. Wolter and J. Zhou.
    Journal of Ship Production. Vol. 11, No. 2, pp. 117-132, May 1995.

  63. Interrogation of Differential Geometry Properties for Design and Manufacture
    by T. Maekawa and N. M. Patrikalakis.
    The Visual Computer. Vol. 10, No. 4, pp. 216-237, March 1994.

  64. Computation of Stationary Points of Distance Functions
    by J. Zhou, E. C. Sherbrooke and N. M. Patrikalakis.
    Engineering with Computers. Vol. 9, No. 4, pp. 231-246, 1993.

  65. Low Degree Approximation of High Degree B-Spline Surfaces
    by S. T. Tuohy and L. Bardis.
    Engineering with Computers. Vol. 9, No. 4, pp. 198-209, 1993.

  66. Computation of Singularities and Intersections of Offsets of Planar Curves
    by T. Maekawa and N. M. Patrikalakis.
    Computer Aided Geometric Design. Vol. 10, No. 5, pp. 407-429, October 1993.

  67. Computation of the Solutions of Nonlinear Polynomial Systems
    by E. C. Sherbrooke and N. M. Patrikalakis.
    Computer Aided Geometric Design. Vol. 10, No. 5, pp. 379-405, October 1993. A more detailed memorandum 91-12 referenced in the CAGD paper above can be downloaded here.

  68. Computational Methods for Blending Surface Approximation
    by P. C. Filkins, S. T. Tuohy, and N. M. Patrikalakis.
    Engineering with Computers. Vol. 9, No. 1, pp. 49-62, 1993.

  69. Inspection and Feature Extraction of Marine Propellers
    by R. A. Jinkerson, S. L. Abrams, L. Bardis, C. Chryssostomidis, A. Clement, N. M. Patrikalakis and F.- E. Wolter.
    Journal of Ship Production. Vol. 9, No. 2, pp. 88-106, May 1993.

  70. Surface-to-Surface Intersections
    by N. M. Patrikalakis.
    IEEE Computer Graphics and Applications. Vol. 13, No. 1, pp. 89-95, January 1993.

  71. Feature Extraction from B-Spline Marine Propeller Representations
    by N. M. Patrikalakis and L. Bardis.
    Journal of Ship Research. Vol. 36, No. 3, pp. 233-247, September 1992.

  72. An Automatic Coarse and Fine Surface Mesh Generation Scheme Based on the Medial Axis Transform: Part II Implementation
    by H. N. Gursoy, and N. M. Patrikalakis.
    Engineering with Computers}. Vol. 8, No. 4, pp. 179-196, 1992.

  73. An Automatic Coarse and Fine Surface Mesh Generation Scheme Based on the Medial Axis Transform: Part I Algorithms
    by H. N. Gursoy, and N. M. Patrikalakis.
    Engineering with Computers. Vol. 8, No. 3, pp. 121-137, 1992.

  74. Curvature Computations for Degenerate Surface Patches
    by F.- E. Wolter and S. T. Tuohy.
    Computer Aided Geometric Design. Vol. 9, No. 4, pp. 241-270, September 1992.

  75. Geometrical Criteria to Guarantee Curvature Continuity of Blend Surfaces
    by J. Pegna and F.- E. Wolter
    Journal of Mechanical Design, ASME Transactions, Vol. 114, No. 1, pp. 201-210, March, 1992.

  76. Approximation of High Degree and Procedural Curves
    by F.- E. Wolter and S. T. Tuohy.
    Engineering with Computers. Vol. 8, pp. 61-80, 1992.

  77. Topological and Differential Equation Methods for Surface Intersections
    by G. A. Kriezis, N. M. Patrikalakis and F.- E. Wolter.
    Computer Aided Design. Vol. 24, No. 1, pp. 41-55, January 1992.

  78. Automated Interrogation and Adaptive Subdivision of Shape Using Medial Axis Transform
    by H. N. Gursoy, and N. M. Patrikalakis.
    Advances in Engineering Software and Workstations. Vol. 13, Nos. 5/6, pp. 287-302, September/November 1991.

  79. Localization for Automated Inspection of Curved Surfaces
    by L. Bardis, R. A. Jinkerson, and N. M. Patrikalakis.
    International Journal of Offshore and Polar Engineering. Vol. 1, No. 3, pp. 228-234. Golden, CO: ISOPE, September 1991.
    Errata, Vol. 2, No. 2, p.160, June 1992.

  80. Localization of Rational B-Spline Surfaces
    by N. M. Patrikalakis and L. Bardis.
    Engineering with Computers. Vol. 7, No. 4, pp. 237-252, 1991.

  81. A Method for Intersecting Algebraic Surfaces with Rational Polynomial Patches by G. A. Kriezis, P. V. Prakash and N. M. Patrikalakis
    Computer Aided Design. Vol. 22, No. 10, pp. 645-654, December 1990.

  82. Surface Approximation with Rational B-Splines
    by L. Bardis and N. M. Patrikalakis
    Engineering with Computers. Vol. 6, No. 4, pp. 223-235, 1990.

  83. Approximation of B-Spline Geometries with Lower Degree Representations
    by N. M. Patrikalakis, L. Bardis and G. A. Kriezis
    Journal of Offshore Mechanics and Arctic Engineering, ASME Transactions. Vol. 112, No. 3, pp. 192-198, 1990.

  84. Surface Intersections for Geometric Modeling
    by N. M. Patrikalakis and P. V. Prakash
    Journal of Mechanical Design, ASME Transactions. Vol. 112, No. 1, pp. 100-107, March 1990.

  85. Representation of Piecewise Continuous Algebraic Surfaces in Terms of B-Splines
    by N. M. Patrikalakis and G. A. Kriezis
    The Visual Computer, Journal of the Computer Graphics Society. Vol. 5, No. 6, pp. 360-374, 1989.

  86. Approximate Conversion of Rational B-Spline Patches
    by L. Bardis and N. M. Patrikalakis
    Computer Aided Geometric Design. Vol. 6, No. 3, pp. 189-204, 1989.

  87. Approximate Conversion of Rational Splines
    by N. M. Patrikalakis
    Computer Aided Geometric Design. Vol. 6, No. 2, pp. 155-165, 1989.

  88. Offsets of Curves on Rational B-Spline Surfaces
    by N. M. Patrikalakis and L. Bardis
    Engineering with Computers. Vol. 5, pp. 39-46, 1989.

  89. Geometric Modeling Issues in Computer Aided Design of Marine Structures
    by C. Chryssostomidis and N. M. Patrikalakis
    Marine Technology Society Journal, Vol. 22, No. 2, pp. 15-33, December 1988.

  90. Free-Form Plate Modeling Using Offset Surfaces
    by N. M. Patrikalakis and P. V. Prakash
    Journal of Offshore Mechanics and Arctic Engineering, ASME Transactions, Vol. 110, No. 3, pp. 287-294, 1988.

  91. A Design Methodology for Ships and Other Complex Systems
    by P. Mandel and C. Chryssostomidis
    Philosophical Transactions of the Royal Society of London, Vol. A 273, pp. 85-98, 1972.




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