Gábor Lukács Gábor Lukács
Senior Research Fellow
Geometric Modelling Laboratory,
Computer and Automation Research Institute
 GML
Address: 1111 Budapest, Kende u. 13-17. Hungary
Phone: 36-1-3868782
Fax: 36-1-4667503
e-mail: lukacs@sdrc.com
Curriculum
Most Important Publications

Curriculum

Gábor Lukács was born in 1955 in Budapest, Hungary. He studied mathematics at the Loránd Eötvös University (ELTE) in Budapest from 1973 until 1978. He obtained his PhD degree in mathematical sciences from the Hungarian Academy of Sciences in 1995 after successful defence of the thesis entitled: ``A Generalized Scheme for Intersection and Interrogation Methods in Computer Aided Geometric Design''.

Since 1978 he has been with the Computer and Automation Research Institute, Budapest of the Hungarian Academy of Sciences (MTA SZTAKI). Since the mid eighties he has been with the Geometric Modelling Lab (headed by Dr. Tamás Várady) of the Autonomous Research Division of the Institute. During 1986-1987 he spent six months at the Department of Mechanical Engineering, Milan Polytechnic, Italy with Prof. Umberto Cugini as a Visiting Fellow. In spring of 1997 he spent three months at the Department of Computer Science, University of Wales, College Cardiff under the leadership of Dr. Ralph R. Martin as a Visiting Researcher.

By 1985-1986 he was active in the field of basic software tools for CAD/CAM systems, special languages and data management for design systems. During 1987-1991 he participated in the development of the FFSolid CAD/CAM system (a free form solid modeller with drafting and NC applications). In the early 90's he designed and led the implementation of the LARK programming system basically for NC pocket milling applications on the basis of Voronoi diagrams. This work was done in cooperation with the company CADMUS Ltd., Budapest. He participated in development projects for computing various types of surface-surface intersections, 3 and 5 axes NC path generation, blend surfaces (of rolling ball and variable radius rolling ball type). Since 1994 he has been doing research work in the field of model reconstruction and reverse engineering. This work is connected with a Copernicus grant of the EU obtained recently by the geometric Modelling Lab in co-operation with the Universities of Cardiff, Ljubljana and Prague.

Since 1991 he has been the member of the John von Neumann Computer Society.

His fields of interest are: computer aided geometric design, CAD/CAM, computational geometry, computer vision and applied mathematics. He has expertise in modelling of solids and surfaces, intersections and blends, in numerical methods of computer aided geometric design and in reconstruction and recognition of objects from measured data.

He is married and has a daughter and two sons. top

References

  1. János, J. and Lukács, G.: Define-it-yourself languages,
    in: Mermet, J. (ed): CAD in Medium Sized and Small Industries (MICADO), 289-293, Paris, 1981. North-Holland.
  2. Andor, L., Gaál, B., Lukács, G., Nádor, L., Turai, I., and Várady, T.: General purpose software components of minicomputer based CAD-systems,
    in: Bř, K. and Lillehagen, F.M. (eds): CAD - Sytems Framework, IFIP, 59-75, Rřros, Norway, 1982. IFIP, North-Holland. IFIP WG. 5.2 Conference.
  3. Lukács, G.: GRECO, a technical drafting system
    in: Renner, G. and Pratt, M.J. (eds): Papers of the Fourth Joint Anglo-Hungarian Seminar on Computer Aided Design, 211-226, Budapest, Hungary, 1985. Computer and Automation Research Institute, Hungarian Academy of Sciences, Department of Applied Computing and Mathematics Cranfield Institute of Technology.
  4. Lukács, G.: The generalized inverse matrix and the surface-surface intersection problem,
    in Straßer, W. and Seidel, H.P. (eds): Theory and Practice of Geometric Modeling, 167-186, Berlin, Heidelberg, New York, 1989. Springer-Verlag.
  5. Luo, Y. and Lukács, G.: Regularized set operators for non-manifold boundary solid modeling,
    in: Proceedings of the International Conference on CAD and CG, Beijing, China, 1989.
  6. Lukács, G.: Simple singularities in surface-surface intersections,
    in: Bowyer, A. (ed): Computer-aided Surface Geometry and Design, Conference Series, 213-230, Oxford, 1994. The Institute of Mathematics and its Applications, Clarendon Press. The Mathematics of Surfaces IV Conference, Bath, September 1990.
  7. Luo, Y. and Lukács, G.: A boundary representation for form features and non-manifold solid objects,
    in Rossignac, J. and Turner, J. (eds): Proceedings of the first ACM-SIGGRAPH Symposium on Solid Modeling Foundations and CAD/CAM Applications, 45-60, Austin, Texas, June 1991. ACM SIGGRAPH, ACM Press.
  8. Luo, Y. and Lukács, G.: Incidence relationships: Kernel concept in combinatorial topology,
    in: Falcidieno, B., Herman, I., and Pienovi, C. (eds): Computer Graphics and Mathematics, 129-146, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest, 1992. Eurographics Association, Springer-Verlag. Proceedings of the EG Workshop, 28-31 October 1991, Santa Margherita Ligure, Italy.
  9. Held, M., Lukács, G., and Andor, L.: Pocket machining based on contour-parallel tool paths generated by means of proximity maps,
    Computer-Aided Design, 26(3):189-203, March 1994.
  10. Hermann, T., Lukács, G., and Várady, T.: Techniques for variable radius rolling ball blends
    in: Dćhlen, M., Lyche, T., and Schumaker, L.L. (eds): Mathematical Methods for Curves and Surfaces, 225-236, Nashville and London, 1995. Vanderbildt University Press. Papers from the Third International Conference on Mathematical Methods in Computer Aided Geometric Design, Ulvik, Norway, June 16-21, 1994.
  11. Lukács, G.: Loop detection via homotopy continuation,
    in: Mullineux, G. (ed): The Mathematics of Surfaces VI, Conference Series, 337-354, Oxford, 1996. The Institute of Mathematics and its Applications, Clarendon Press. The Mathematics of Surfaces VI Conference, Brunel University, London, September 1994.
  12. Hermann, T. and Lukács, G.: A new insight into the Gn continuity of polynomial surfaces,
    Computer Aided Geometric Design, 13(8):697-707, November 1996.
  13. Lukács, G., Hermann, T., and Várady, T.: Continuity and self-intersections of variable radius rolling ball blend surfaces,
    in: Pratt, M., Sriram, R.D. and Wozny, M.J. (eds): Product Modeling for Computer Integrated Design and Manufacture, 369-370. IFIP, Chapman and Hall, 1996. Proceedings of the 5th IFIP Workshop on Geometric Modeling in CAD, May 19-27, 1996, Airlie Center, VA, USA.
  14. Hermann, T. and Lukács, G.: Proof of the nonintersection conjecture of Hoffmann and Peters,
    Computer Aided Geometric Design, 15(1):147-163, February 1998.
  15. Hermann, T., Lukács, G., and Wolter, F.-E.: Geometrical criteria on the higher order smoothness of composite surfaces,
    Computer Aided Geometric Design, November 1996. Submitted-under revision.
  16. Lukács, G. and Andor, L.: Computing natural division lines on free-form surfaces based on measured data,
    in: Dćhlen, M., Lyche, T., and Schumaker, L.L. (eds): Mathematical Methods for Curves and Surfaces II, 319-326, Nashville and London, 1997. Vanderbildt University Press. Papers from the Fourth International Conference on Mathematical Methods in Computer Aided Geometric Design, Lillehammer, Norway, July 3-8, 1997.
  17. Lukács, G. and Andor, L.: Photometric ray tracing,
    in: Cripps [21], 325-337.
  18. Krsek, P., Lukács, G., and Martin, R.R.: Algorithms for computation of curvatures from range data,
    in: Cripps [21], 1-16.
  19. Lukács, G., Martin, R., and Marshall, D.: Faithful least-squares fitting of spheres, cylinders cones and tori for reliable segmentation,
    in: Burkhardt, H. and Neumann, B. (eds): Computer Vision-ECCV 98, volume 1406 of Lecture Notes in Computer Science, 671-686. EVS and DAGM, Springer-Verlag, 1998. Proceedings of 5th European Conference on Computer Vision-ECCV'98 Freiburg, Germany, June 2-6, 1998.
  20. Lukács, G.: Differential geometry of G1 variable radius rolling ball blend surfaces,
    Computer Aided Geometric Design, 15(6):585-613, June 1998.
  21. Cripps, R.J. (ed): The Mathematics of Surfaces VIII.
    The Institute of Mathematics and its Applications, Information Geometers, 1998. The Mathematics of Surfaces VIII Conference, University of Birmingham, September 1998.
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