Zenon Kulpa: Selected Publications

The list below contains the more recent or more important publications only.
The publications are classified according to their subject areas; a few interdisciplinary papers appear in more than one category as a result.

Artificial Intelligence (general)
Qualitative analysis
Intervals
Diagrammatic representation and reasoning
Computer graphics
Image processing and analysis
Impossible figures

Artificial Intelligence (general):

Z. Kulpa, A. Radomski, O. Gajl, M. Kleiber, I. Skalna. Hybrid expert system for qualitative and quantitative analysis of truss structures. Engineering Applications of Artificial Intelligence, 12(1), 1999, 229-240.
Z. Kulpa, M. Sobolewski. Knowledge-directed graphical and natural language interface with a knowledge-based concurrent engineering environment. In: Proc. CARs & FOF: 8th Internat. Conf. on CAD/CAM, Robotics and Factories of the Future, 238-248. Metz, France, 1992.
M.W. Sobolewski, Z. Kulpa. From sentences to attribute networks. In: I. Plander, ed., Artificial Intelligence and Information-Control Systems of Robots (Proc. 3rd International Conference on..., Smolenice 1984), 345-348. Elsevier (North-Holland), Amsterdam 1984.

Qualitative analysis:

K. Roslaniec, Z. Kulpa, M. Kleiber. Qualitative model-based analysis of truss structures. CAMES, 9(1): 123-133, 2002.
K. Roslaniec, Z. Kulpa. System ekspertowy jakosciowej analizy kratownic metoda propagacji przemieszczen [An expert system for qualitative analysis of truss structures by displacement propagation method, in Polish]. In: Z. Bubnicki, A. Grzech, eds., Inzynieria wiedzy i systemy ekspertowe [Knowledge Engineering and Expert Systems, in Polish], Vol. 2, 297-304. (Proc. IVth Natl. Scientific Conference, Wroclaw, June 13-15, 2000), Oficyna Wydawnicza Politechniki Wroclawskiej, Wroclaw 2000.
Z. Kulpa, A. Radomski, O. Gajl, M. Kleiber, I. Skalna. Hybrid expert system for qualitative and quantitative analysis of truss structures. Engineering Applications of Artificial Intelligence, 12(1), 1999, 229-240.
Z. Kulpa, M. Kleiber. Jakosciowa analiza ukladow mechanicznych w zastosowaniu do analizy kratownic metoda propagacji obciazen [Qualitative analysis of mechanical systems as applied to truss analysis by a load propagation method, in Polish]. In: A. Grzech, ed., Problemy Automatyki i Informatyki [Problems of Automatic Control and Computer Science, in Polish], Ossolineum, Wroclaw 1998, 177-190.
Z. Kulpa. Qualitative model of load propagation in truss structures. Internal Report No. B-1/1998, IPPT PAN, Warsaw 1998.
Z. Kulpa, A. Radomski, O. Gajl, M. Kleiber, I. Skalna. Hybrydowy system ekspertowy jakosciowo-ilosciowej analizy ukladow mechanicznych [Hybrid expert system for qualitative/quantitative analysis of mechanical structures, in Polish]. In: Z. Bubnicki, A. Grzech, eds., Inzynieria wiedzy i systemy ekspertowe [Knowledge Engineering and Expert Systems, in Polish], Vol. 2, 135-142. (Proc. IIIrd Natl. Scientific Conference, Wroclaw, June 10-12, 1997), Oficyna Wydawnicza Politechniki Wroclawskiej, Wroclaw 1997.
Z. Kulpa, A. Radomski, O. Gajl, M. Kleiber, I. Skalna. Hybrid expert system for qualitative and quantitative analysis of mechanical structures. In: L. Ironi, ed. Qualitative Reasoning: 11th International Workshop (Cortona, Italy, June 3-6, 1997), 287-293. Pub. N. 1036: Istituto di Analisi Numerica C.N.R., Pavia, Italy, 1997.
[PDF file available (300KB)]
M. Kleiber, Z. Kulpa. Computer-assisted hybrid reasoning in simulation and analysis of physical systems. CAMES, 2(3): 165-186, 1995.
[zipped PDF file available (228KB)]
Z. Kulpa. Diagrammatic representation and reasoning with applications in qualitative analysis. [Extended Abstract]. In: M. Akiyama, M. Kleiber, eds., Proc. Japan-Central Europe Joint Workshop on Advanced Computing in Engineering. (Pultusk, Poland, September 26-28, 1994), 357-359. Warsaw, 1994.
M. Kleiber, Z. Kulpa. Computer-aided qualitative analysis: a key to effective simulation and analysis of physical systems? In: Proc. Japanese-Polish Joint Seminar on Advanced Computer Simulation, 123-130. Tokyo, 1993.

Intervals:

Z. Kulpa. A diagrammatic approach to investigate interval relations. Journal of Visual Languages and Computing, 17: 466-502, 2006.
Erratum: Fig. 2 on p. 470 is wrong; the proper figure is given here..
Z. Kulpa. Diagrammatic Interval Analysis with Applications, IPPT PAN Reports 1/2006, xvi+232 pp., Warsaw 2006.
Z. Kulpa. Designing diagrammatic catalogues of types of basic interval equation: A case study. In: M. Kohlhase, ed., Mathematical Knowledge Management (Proc. MKM 2005 - Fourth International Conference on Mathematical Knowledge Management, Bremen, Germany, July 15-17, 2005), 283-298. Lecture Notes in Artificial Intelligence, vol. 3863, Springer-Verlag, Berlin 2006.
Z. Kulpa. Designing diagrammatic notation for interval analysis. Information Design Journal + Document Design, 12(1): 52-62, 2004.
Z. Kulpa, S. Markov. On the inclusion properties of interval multiplication: A diagrammatic study. BIT Numerical Mathematics, 43(4): 791-810, 2003.
Z. Kulpa. From Picture Processing to Interval Diagrams, IPPT PAN Reports 4/2003, ix+313 pp., Warsaw 2003.
Z. Kulpa. Diagrammatic analysis of interval linear equations: Part I: Basic notions and the one-dimensional case. Reliable Computing, 9(1): 1-20, 2003.
Z. Kulpa. Diagrammatic analysis of interval linear equations: Part II: The two-dimensional case and generalization to n dimensions. Reliable Computing, 9(3): 205-228, 2003.
Z. Kulpa. Towards diagrammatic analysis of systems of interval "linear equations". In: W. Krämer, J. Wolff von Gudenberg, eds., Scientific Computing, Validated Numerics, Interval Methods. Kluwer Academic/Plenum Publishers, New York 2001, 115-126.
Z. Kulpa. Diagrammatic representation for interval arithmetic. Linear Algebra and Its Applications, 324: 55-80, 2001.
[PDF file of a pre-publication version is available (859KB).]
Z. Kulpa. A diagrammatic notation for interval algebra. In: M. Anderson, P. Cheng, V. Haarslev, eds., Theory and Application of Diagrams, (Proc. DIAGRAMS 2000 - An International Conference on the ..., Edinburgh, UK, September 1-3, 2000), 471-474. Lecture Notes in AI 1889, Springer-Verlag, Berlin 2000.
Z. Kulpa, T.L. Le. Characterization of convex and pointisable interval relations by diagrammatic methods. Machine GRAPHICS & VISION, 9(1/2): 221-231, 2000.
Z. Kulpa, K. Roslaniec. Solution sets for systems of linear interval equations. CAMES, 7(4), 2000, 625-639.
(An extended abstract published in: W. Lakota, Z. Waszczyszyn, L. Ziemianski, eds., Computer Methods in Mechanics (Proc. XIVth Polish Conference on Computer Methods in Mechanics (PCCMM'99), Rzeszow, Poland, May 26-29, 1999), Rzeszow University of Technology, Rzeszow 1999, 195-196.)
[A Conference Poster in HTML as well as PostScript files of Extended Abstract (2 pp., 1 fig.; 97KB, zipped) and the Conference Poster (12 pp., 675KB, zipped) are available]
Z. Kulpa, A. Pownuk, I. Skalna. Analysis of linear mechanical structures with uncertainties by means of interval methods. CAMES, 5(4), 1998, 443-477.
Z. Kulpa. Diagrammatic representation for a space of intervals.
Machine GRAPHICS & VISION, 6(1): 5-24, 1997.
(Special Issue on Diagrammatic Representation and Reasoning)
[PDF file available (676KB)]
Z. Kulpa. Diagrammatic representation of interval space in proving theorems about interval relations. Reliable Computing, 3(3): 209-217, 1997.
Also presented at INTERVAL'96 Conference (Würzburg, Germany, September 30 - October 2, 1996).
[PDF file of Extended Abstract (2 pp., 2 figs.) available (84KB)]

Diagrammatics:

Z. Kulpa. A diagrammatic approach to investigate interval relations. Journal of Visual Languages and Computing, 17: 466-502, 2006.
Erratum: Fig. 2 on p. 470 is wrong; the proper figure is given here..
Z. Kulpa. Diagrammatic Interval Analysis with Applications, IPPT PAN Reports 1/2006, xvi+232 pp., Warsaw 2006.
Z. Kulpa. Designing diagrammatic catalogues of types of basic interval equation: A case study. In: M. Kohlhase, ed., Mathematical Knowledge Management (Proc. MKM 2005 - Fourth International Conference on Mathematical Knowledge Management, Bremen, Germany, July 15-17, 2005), 283-298. Lecture Notes in Artificial Intelligence, vol. 3863, Springer-Verlag, Berlin 2006.
Z. Kulpa. On diagrammatic representation of mathematical knowledge. In: A. Asperti, G. Bancerek, A. Trybules, eds., Mathematical Knowledge Management (Proc. Proc. MKM 2004 - Third International Conference on Mathematical Knowledge Management, Bialowieza, Poland, Sept. 19-21, 2004), 190-204. Lecture Notes in Computer Science, vol. 3119, Springer-Verlag, Berlin 2004.
Erratum: In Fig. 4, p. 200, there is a wrong formula for geometric mean (repeated twice): instead of there should be .
Z. Kulpa. Designing diagrammatic notation for interval analysis. Information Design Journal + Document Design, 12(1): 52-62, 2004.
T.L. Le, Z. Kulpa. Diagrammatic spreadsheet: An overview. In: A. Blackwell, K. Marriott, A. Shimojima, eds., Diagrammatic Representation and Inference, (Proc. DIAGRAMS 2004 - Third International Conference on the Theory and Application of Diagrams, Cambridge, UK, March 22024, 2004), 420-423. Lecture Notes in AI, vol. 2980, Springer-Verlag, Berlin 2004.
Z. Kulpa, S. Markov, On the inclusion properties of interval multiplication: A diagrammatic study. BIT Numerical Mathematics, 43(4): 791-810, 2003.
Z. Kulpa. From Picture Processing to Interval Diagrams, IPPT PAN Reports 4/2003, ix+313 pp., Warsaw 2003.
Z. Kulpa. Self-consistency, imprecision, and impossible cases in diagrammatic representation. Machine GRAPHICS & VISION 12(1): 147-160, 2003. (Special Issue on Diagrammatics & Design: Selected Papers from the First European Workshop on "Diagrammatics and Design.")
T.L. Le, Z. Kulpa. Diagrammatic spreadsheet. Machine GRAPHICS & VISION 12(1): 133-146, 2003. (Special Issue on Diagrammatics & Design: Selected Papers from the First European Workshop on "Diagrammatics and Design.")
T.L. Le, Z. Kulpa. Diagramowy "arkusz kalkulacyjny" [Diagrammatic "spreadsheet", in Polish]. In: Z. Bubnicki, A. Grzech, eds., Inzynieria wiedzy i systemy ekspertowe [Knowledge Engineering and Expert Systems, in Polish], Vol. 2, 87-96. (Proc. Vth Natl. Scientific Conference, Wroclaw, June 11-13, 2003), Oficyna Wydawnicza Politechniki Wroclawskiej, Wroclaw 2003.
Z. Kulpa. Diagrammatic analysis of interval linear equations: Part I: Basic notions and the one-dimensional case. Reliable Computing, 9(1): 1-20, 2003.
Z. Kulpa. Diagrammatic analysis of interval linear equations: Part II: The two-dimensional case and generalization to n dimensions. Reliable Computing, 9(3): 205-228, 2003.
Z. Kulpa. Towards diagrammatic analysis of systems of interval "linear equations". In: W. Krämer, J. Wolff von Gudenberg, eds., Scientific Computing, Validated Numerics, Interval Methods. Kluwer Academic/Plenum Publishers, New York 2001, 115-126.
Z. Kulpa. Diagrammatic representation for interval arithmetic. Linear Algebra and Its Applications, 324: 55-80, 2001.
[PDF file of a pre-publication version is available (859KB, gzipped).]
Z. Kulpa. A diagrammatic notation for interval algebra. In: M. Anderson, P. Cheng, V. Haarslev, eds., Theory and Application of Diagrams, (Proc. DIAGRAMS 2000 - An International Conference on the ..., Edinburgh, UK, September 1-3, 2000), 471-474. Lecture Notes in AI, vol. 1889, Springer-Verlag, Berlin 2000.
Z. Kulpa, T.L. Le. Characterization of convex and pointisable interval relations by diagrammatic methods. Machine GRAPHICS & VISION, 9(1/2): 221-231, 2000.
Z. Kulpa. Diagrammatic representation for a space of intervals.
Machine GRAPHICS & VISION, 6(1): 5-24, 1997.
(Special Issue on Diagrammatic Representation and Reasoning)
[PDF file available (676KB)]
Z. Kulpa. Diagrammatic representation of interval space in proving theorems about interval relations. Reliable Computing, 3(3): 209-217, 1997.
Also presented at INTERVAL'96 Conference (Würzburg, Germany, September 30 - October 2, 1996).
[PDF file of the Extended Abstract (2 pp., 2 figs.) available (84KB)]
Z. Kulpa. Diagrammatic representation and reasoning.
Machine GRAPHICS & VISION, 3, (1/2): 77-103, 1994.
[PDF file available (431KB)]
Z. Kulpa. Diagrammatic representation and reasoning with applications in qualitative analysis. [Extended Abstract]. In: M. Akiyama, M. Kleiber, eds., Proc. Japan-Central Europe Joint Workshop on Advanced Computing in Engineering. (Pultusk, Poland, September 26-28, 1994), 357-359. Warsaw, 1994.

Computer graphics:

Z. Kulpa, M. Sobolewski. Knowledge-directed graphical and natural language interface with a knowledge-based concurrent engineering environment. In: Proc. CARs & FOF: 8th Internat. Conf. on CAD/CAM, Robotics and Factories of the Future, 238-248. Metz, France, 1992.
Z. Kulpa, B. Kruse. Algorithms for circular propagation in discrete images. Computer Vision, Graphics and Image Processing, 24: 305-328, 1983.
Z. Kulpa. Iconics: computer-aided visual communication. In: S. Levialdi, ed., Digital Image Analysis (Proc. 2nd Conference on Image Analysis and Processing, Fasano 1982), 280-282. Pitman, London 1983.
Z. Kulpa, M. Doros. Freeman digitization of integer circles minimizes the radial error. Computer Graphics and Image Processing, 17: 181-184, 1981.
Z. Kulpa. On the properties of discrete circles, rings and disks. Computer Graphics and Image Processing, 10: 348-365, 1979.

Image processing and analysis:

Z. Kulpa, B. Kruse. Algorithms for circular propagation in discrete images. Computer Vision, Graphics and Image Processing, 24: 305-328, 1983.
Z. Kulpa. More about areas and perimeters of quantized objects. Computer Vision, Graphics and Image Processing, 22: 268-276, 1983.
L. Bolc, Z. Kulpa, eds., Digital Image Processing Systems. Lecture Notes in Computer Science, Vol. 109, Springer-Verlag, Berlin 1981.
Z. Kulpa. PICASSO, PICASSO-SHOW and PAL - a development of a high-level software system for image processing. In: M.J.B. Duff and S. Levialdi, eds., Languages and Architectures for Image Processing, 13-24. Academic Press, London 1981.
Z. Kulpa, A. Bielik, M. Piotrowicz, M. Rychwalska. Measurements of moving cells using computer image processing system CPO-2. In: Proc. International Conference on Signals and Images in Medicine and Biology (BIOSIGMA'78), 286-292. Paris 1978.
Z. Kulpa. Errors in objects positioning with "centre of gravity" method. The Industrial Robot, 5: 94-99, 1978.
Z. Kulpa. Area and perimeter measurement of blobs in discrete binary pictures. Computer Graphics and Image Processing, 6: 434-451, 1977.
Z. Kulpa. Planar grammars, parallel picture processing algorithms and their equivalence. Control and Cybernetics, 6: 5-16, 1977.
Z. Kulpa, H.T. Nowicki. Simple interactive picture processing system PICASSO-SHOW. In: Proc. 3rd International Conference on Pattern Recognition, 218-223. Coronado, CA, 1976.

Impossible figures:

Z. Kulpa. Putting order in the impossible. Perception, 16: 201-214, 1987.
Z. Kulpa. Are impossible figures possible?. Signal Processing, 5: 201-220, 1983.