Alexander A. Pasko

• Background Data
• Research/Educational Interests
• Research Description
• Selected Publications
• FRep Home Page
• HyperFun Project

Background Data

Research/Educational Interests

• Solid Modeling, Volume and Multidimensional Modeling
• Computer Animation
• Digital Fabrication
• Visualization
• Computer Art

Research Description

There are many ways of modeling geometry by means of computer. We try to find an approach dealing with geometric objects in the most simple and uniform style. Thus, function representation (FRep) of geometric objects has been introduced with set-theoretic operations based on the theory of R-functions developed by Russian mathematicians. This representation is independent of the space dimension. That is why time-dependent or animated objects can be described in the same manner, with time being considered as one of the coordinates of space-time. Many unusual geometric operations like blending, metamorphosis and even "hair growing" can be functionally described. Sometimes it seems we now have "experimental geometry" by analogy with experimental physics, where new results usually have to be explained from the theoretical point of view. This becomes even more complex when dealing with volumetric and multidimensional models. By using more powerful parallel computers and by adding intellect to artificial actors we will get an instrument for future creative work in art and design, medicine and industry.

FRep Home Page presents descriptions of selected research topics, list of publications, images, and animations.
HyperFun project provides tools for FRep modeling using HyperFun language.

Selected Publications

• "BSP-fields: An exact representation of polygonal objects by differentiable scalar fields based on binary space partitioning", (with O. Fryazinov, V. Adzhiev), Computer-Aided Design, vol. 43, No. 3, pp. 265-277. (2011)

• "Fast reliable interrogation of procedurally defined implicit surfaces using extended revised affine arithmetic", (with O. Fryazinov, P. Comninos), Computers & Graphics, vol. 34, No. 6, pp. 708-718. (2010)

• "Embedded implicit stand-ins for animated meshes: a case of hybrid modelling", (with D. Kravtsov, O. Fryazinov, V. Adzhiev, P. Comninos), Computer Graphics Forum, vol. 29, No. 1, pp. 128 - 140. (2010)

• "Constructive function-based modeling in multilevel education", (with V. Adzhiev), Communications of the ACM, vol. 52, No. 9, pp. 118-122. (2009)

• "Heterogeneous Objects Modelling and Applications", Lecture Notes in Computer Science, vol. 4889 (co-edited with V. Adzhiev and P. Comninos), Springer, 285 p. (2008)

• "Constructive heterogeneous object modeling using signed approximate real distance functions", (with P.-A. Fayolle, B. Schmitt, N. Mirenkov), Journal of Computing and Information Science in Engineering, ASME Transactions, vol. 6, No. 3, pp. 221-229. (2006)

• "Detection and classification of topological evolution for linear metamorphosis", (with T. Nieda, T. L. Kunii), The Visual Computer, Special issue on Multimedia Modeling, vol. 22, No. 5, pp. 346-356. (2006)

• "Web-based constructive shape modeling using real distance functions", (with P.-A. Fayolle, B. Schmitt, Y. Goto), IEICE Transactions on Information and Systems, vol. E88-D, No. 5, pp. 828-835. (2005)

• "Bounded blending for function-based shape modeling", (with G. Pasko, T. Kunii), IEEE Computer Graphics and Applications, vol. 25, No. 2, pp. 36-45. (2005)

• "Web-based shape modeling with HyperFun", (with Cartwright R., Adzhiev V., Goto Y., Kunii T. L.), IEEE Computer Graphics and Applications, vol. 25, No. 2, pp. 60-69. (2005)

• "Functionally based augmented sculpting", (with V. Adzhiev, P. Comninos, M. Kazakov), Computer Animation and Virtual Worlds, vol. 16, No. 1, pp. 25-39. (2005)

• "Space-time blending", (with G. Pasko, T. Kunii), Computer Animation and Virtual Worlds, vol. 15, No. 2, pp. 109-121. (2004)

• "Constructive sculpting of heterogeneous volumetric objects using trivariate B-splines", (with B. Schmitt, C. Schlick), The Visual Computer, vol. 20, Nos. 2-3, pp. 130-148. (2004)

• "Trimming implicit surfaces", (with G. Pasko), The Visual Computer, vol. 20, No. 7, pp. 437-447. (2004)

• "Cultural heritage preservation using constructive shape modeling", (with C. Vilbrandt, G. Pasko, P.-A. Fayolle, T. Vilbrandt, J. R. Goodwin, J. M. Goodwin, T. L. Kunii), Computer Graphics Forum, vol. 23, No.1, pp. 25-41. (2004)

• "Surface and volume discretization of functionally based heterogeneous objects", (with Kartasheva E., Adzhiev V., Fryazinov O., Gasilov V.), Journal of Computing and Information Science and Engineering, ASME Transactions, vol. 3, No. 4, pp. 285-294. (2003)

• "Dynamic mesh optimization for polygonized implicit surfaces with sharp features", (with Ohtake Y., Belyaev A.), The Visual Computer, vol. 19, No. 2-3, pp. 115-126. (2003)

• "Augmented sculpture: computer ghosts of physical artefacts", (with V. Adzhiev, P. Comninos), Leonardo, MIT, vol. 36, No. 3, pp. 211-219. (2003)

• "Minkowski sums of point sets defined by inequalities", (with Okunev O., Savchenko V.), Computers and Mathematics with Applications, Elsevier Science, vol. 45, No. 10/11, pp. 1479-1487. (2003)

• "Hybrid cellular-functional modeling of heterogeneous objects", (with V. Adzhiev, E. Kartasheva, T. Kunii, B. Schmitt), Journal of Computing and Information Science in Engineering, Transactions of the ASME, vol. 2, No. 4, pp. 312-322. (2002)

• "Constructive hypervolume modeling", (with B. Schmitt, V. Adzhiev, C. Schlick), Graphical Models, vol. 63, No. 6, pp. 413-442. (2001)

• "Constructive texturing based on hypervolume modeling", (with B. Schmitt, V. Adzhiev, C. Schlick), Journal of Visualization and Computer Animation, vol. 12, No. 5, pp. 297-310. (2001)

• "Synthetic carving using implicit surface primitives", (with A. Sourin and V. Savchenko ), Computer-Aided Design, Elsevier, vol. 33, No. 5, pp. 379-388. (2001)

• "Hybrid system architecture for volume modeling", (with V. Adzhiev, M. Kazakov, and V. Savchenko ), Computers & Graphics, Pergamon Press, vol. 24, No. 1, pp. 67-78. (2000)

• "Transformation of functionally defined shapes by extended space mappings ", (with V. Savchenko), The Visual Computer, vol. 14, No. 5/6, pp. 257-270. (1998)

• "Function representation for sweeping by a moving solid ", (with A. Sourin ), IEEE Transactions on Visualization and Computer Graphics , vol.2, No.1, pp.11-18. (1996)

• "Using real functions with application to hair modelling ", (with A. Sourin and V. Savchenko ), Computers and Graphics , vol.20, No.1, pp.11-19. (1996)

• "Function representation in geometric modeling: concepts, implementation and applications ", (with V. Adzhiev, A. Sourin and V. Savchenko), The Visual Computer, vol. 11, No. 8, pp. 429-446. (1995)
  

• "Function representation of solids reconstructed from scattered surface points and contours ", (with V. Savchenko, O. Okunev and T. Kunii), Computer Graphics Forum, vol.14, No.4, pp. 181-188 (1995).

• "Geometric modeling in the analysis of trivariate functions ", (with V. Pilyugin and V. Pokrovskiy), Computers & Graphics, vol. 12, Nos. 3/4, pp. 457-465 (1988).

Last modified January 25, 2011
e-mail: pasko at acm dot org