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
• Digital Fabrication
• Computer Animation
• Visualization
• Computer Art

Research Description

There are many ways of modeling geometry by means of a computer. We try to find an approach dealing with geometric objects in the most simple and uniform manner. Thus, the 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-variant or animated objects can be described in the same way, with time being considered as one of the coordinates of space-time. Many unusual geometric operations such as blending, metamorphosis and even "hair growing" can be functionally described. 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 heterogeneous volumetric objects and multidimensional models. Combining rigorous mathematical models with powerful parallel computers, we will get an instrument for the future creative work in design, medicine and biology, industry and art.

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

Selected Publications

• "Implicit variable-radius arc canal surfaces for solid modeling", (with O. Fryazinov), Computer-Aided Design and Applications, vol. 14, No. 3, pp. 251-258. (2017)

• "An evolutionary approach to the extraction of object construction trees from 3D point clouds", (with P.-A. Fayolle), Computer-Aided Design, vol. 74, pp. 1-17. (2016)

• "Virtual sculpting and 3D printing for young people with disabilities", (with L. McLoughlin, O. Fryazinov, M. Moseley, M. Sanchez, V. Adzhiev, P. Comninos), IEEE Computer Graphics and Applications, vol. 36, No. 1, pp. 22-28. (2016)

• "Convolution filtering of continuous signed distance fields for polygonal meshes", (with M. Sanchez, O. Fryazinov, P.-A. Fayolle), Computer Graphics Forum, vol. 34, No. 6, pp. 277–288. (2015)

• "Space-time transfinite interpolation of volumetric material properties", (with M. Sanchez, O. Fryazinov, V Adzhiev, P. Comninos), IEEE Tranactions on Visualization and Computer Graphics, vol. 21, No. 2, pp. 278-288. (2015)

• "Reliable detection and separation of components for solid objects defined with scalar fields", (with O. Fryazinov), Computer-Aided Design, vol. 58, pp. 149-155. (2015)

• "Shape conforming volumetric interpolation with interior distances", (with O. Fryazinov, M. Sanchez), Computers & Graphics, vol. 46, pp. 149-155. (2015)

• "Controlled metamorphosis between skeleton-driven animated polyhedral meshes of arbitrary topologies", (with D. Kravtsov, O. Fryazinov, V. Adzhiev, P. Comninos), Computer Graphics Forum, vol. 33, No. 1, pp. 64–72. (2014)

• "Morphological shape generation through user-controlled group metamorphosis", (with M. Sanchez, O. Fryazinov, T. Vilbrandt), Computers & Graphics, vol. 37, No. 6, pp. 620-627. (2013)

• "Segmentation of discrete point clouds using an extensible set of templates", (with P.-A. Fayolle), The Visual Computer, vol. 29, No. 5, pp. 449-465. (2013)

• "Signed Lp-distance fields", (with A. Belyaev, P.-A. Fayolle), Computer-Aided Design, vol. 45, No. 2, pp. 523–528. (2013)

• "Multi-scale space-variant FRep cellular structures", (with O. Fryazinov, T. Vilbrandt), Computer-Aided Design, vol. 45, No. 1, 2013, pp. 26–34. (2013)

• "Optimized surface discretization of functionally defined multi-material objects", (with P.-A. Fayolle), Advances in Engineering Software, Elsevier, vol. 45, No. 1, pp. 301–312. (2012)

• "Feature based volumes for implicit intersections", (with O. Fryazinov, P.-A. Fayolle, T. Vilbrandt, G. Pasko), Computers & Graphics, vol. 35, No. 3, pp. 524-531. (2011)

• "Digitally interpreting traditional folk crafts", (with T. Vilbrandt, C. Vilbrandt, G. Pasko, C. Stamm), IEEE Computer Graphics and Applications, vol. 31, No. 4, July/Aug. pp. 12-18. (2011)

• "Procedural function-based modelling of volumetric microstructures", (with O. Fryazinov, T. Vilbrandt, P.-A. Fayolle, V. Adzhiev), Graphical Models, vol. 73, No. 5, pp. 165-181. (2011)

• "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 23, 2018
e-mail: pasko at mail dot com