Alexander A. Pasko
Professor, Skolkovo Institute of Science and Technology (Skoltech), Center for Design, Manufacturing and Materials, Russia
Professor, National Centre for Computer Animation, Bournemouth University, UK
Background Data
Alexander Pasko graduated from Moscow Engineering Physics Institute
(MEPhI) in Russia in 1983 and received a PhD degree in 1988. He was a
senior researcher at MEPhI from 1988 to 1992; an assistant professor at
the University of Aizu, Japan (from 1993 to 2000); associate and full
professor at the Faculty of Computer and Information Sciences of the
Hosei University in Tokyo, Japan (from 2000 to 2007).
Research/Educational Interests
 Solid Modeling, Volume and Multidimensional Modeling
 Digital Fabrication
 Computer Animation
 Visualization
 Computer Art
Research Description
Geometric images are probably the eldest product of the human brain. In the modern
logicallyoriented life it is extremely important to keep and develop
this ability. I am convinced that outstanding achievements in science and
technology can only be attained in the balance of logic and geometric reasoning.
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 settheoretic operations based on the theory of
Rfunctions
developed by Russian mathematicians. This representation is independent
of
the space dimension.
That is why timevariant or animated objects can be described in the
same way, with time being considered as one of the coordinates of spacetime.
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

"3D mass customization toolkits design, part I: survey and an evaluation model", (with H. Zhao, L. McLoughlin, V. Adzhiev), ComputerAided Design and Applications, vol. 16, No. 2, Taylor & Francis, pp. 204222. (2019)

"3D mass customization toolkits design, part II: heuristic evaluation of online toolkits", (with H. Zhao, L. McLoughlin, V. Adzhiev), ComputerAided Design and Applications, vol. 16, No. 2, Taylor & Francis, pp. 223242. (2019)

"4D cubism: modeling, animation, and fabrication of artistic shapes", (with Q. CorkerMarin, V. Adzhiev), IEEE Computer Graphics and Applications, vol. 38, no. 3, pp. 131139. (2018)

"Implicit variableradius arc canal surfaces for solid modeling", (with O. Fryazinov), ComputerAided Design and Applications, vol. 14, No. 3, pp. 251258. (2017)

"An evolutionary approach to the extraction of object construction trees from 3D point clouds", (with P.A. Fayolle), ComputerAided Design, vol. 74, pp. 117. (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. 2228. (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)

"Spacetime 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. 278288. (2015)

"Reliable detection and separation of components for solid objects defined with scalar fields", (with O. Fryazinov), ComputerAided Design, vol. 58, pp. 149155. (2015)

"Shape conforming volumetric interpolation with interior distances", (with O. Fryazinov, M. Sanchez), Computers & Graphics, vol. 46, pp. 149155. (2015)

"Controlled metamorphosis between skeletondriven 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 usercontrolled group
metamorphosis", (with M. Sanchez, O. Fryazinov, T. Vilbrandt), Computers & Graphics, vol. 37, No. 6, pp. 620627. (2013)

"Segmentation of discrete point clouds using an extensible set of templates", (with P.A. Fayolle), The Visual Computer, vol. 29, No. 5, pp. 449465. (2013)

"Signed Lpdistance fields", (with A. Belyaev, P.A. Fayolle), ComputerAided Design, vol. 45, No. 2, pp. 523–528. (2013)

"Multiscale spacevariant FRep cellular structures", (with O. Fryazinov, T. Vilbrandt), ComputerAided Design, vol. 45, No. 1, 2013, pp. 26–34. (2013)

"Optimized surface discretization of functionally defined multimaterial 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. 524531. (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. 1218. (2011)

"Procedural functionbased modelling of volumetric microstructures", (with O. Fryazinov, T. Vilbrandt, P.A. Fayolle, V. Adzhiev), Graphical Models, vol. 73, No. 5, pp. 165181. (2011)

"BSPfields: An exact representation of polygonal objects by differentiable scalar fields based on binary space partitioning",
(with O. Fryazinov, V. Adzhiev),
ComputerAided Design, vol. 43, No. 3, pp. 265277. (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. 708718. (2010)

"Embedded implicit standins 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 functionbased modeling in multilevel education",
(with V. Adzhiev),
Communications of the ACM, vol. 52, No. 9, pp. 118122. (2009)

"Heterogeneous Objects Modelling
and Applications", Lecture Notes in Computer Science, vol. 4889 (coedited 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. 221229. (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. 346356. (2006)

"Webbased constructive shape modeling using real distance functions",
(with P.A. Fayolle, B. Schmitt, Y. Goto),
IEICE Transactions on Information and Systems, vol. E88D, No. 5, pp. 828835. (2005)
 "Bounded blending for functionbased shape modeling", (with G. Pasko, T. Kunii),
IEEE Computer Graphics and Applications, vol. 25, No. 2, pp. 3645. (2005)
 "Webbased shape modeling with HyperFun", (with Cartwright R., Adzhiev V., Goto Y., Kunii T. L.),
IEEE Computer Graphics and Applications, vol. 25, No. 2, pp. 6069. (2005)
 "Functionally based augmented sculpting", (with V. Adzhiev, P. Comninos, M. Kazakov), Computer Animation and Virtual Worlds, vol. 16, No. 1, pp. 2539. (2005)
 "Spacetime blending",
(with G. Pasko, T. Kunii), Computer Animation and Virtual Worlds,
vol. 15, No. 2, pp. 109121. (2004)
 "Constructive sculpting of heterogeneous volumetric objects using trivariate Bsplines",
(with B. Schmitt, C. Schlick), The Visual Computer, vol. 20,
Nos. 23, pp. 130148. (2004)
 "Trimming implicit surfaces",
(with G. Pasko),
The Visual Computer, vol. 20, No. 7, pp. 437447. (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. 2541. (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. 285294. (2003)
 "Dynamic mesh optimization for polygonized implicit surfaces
with sharp features",
(with Ohtake Y., Belyaev A.),
The Visual Computer, vol. 19, No. 23, pp. 115126. (2003)
 "Augmented sculpture: computer ghosts of physical artefacts",
(with V. Adzhiev, P. Comninos),
Leonardo, MIT, vol. 36, No. 3, pp. 211219. (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. 14791487. (2003)

"Hybrid cellularfunctional 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. 312322. (2002)

"Constructive hypervolume modeling",
(with B. Schmitt, V. Adzhiev, C. Schlick),
Graphical Models,
vol. 63, No. 6, pp. 413442. (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. 297310. (2001)

"Synthetic carving using implicit surface primitives",
(with A. Sourin and V. Savchenko ),
ComputerAided Design, Elsevier,
vol. 33, No. 5, pp. 379388. (2001)

"Hybrid system architecture for volume modeling",
(with V. Adzhiev, M. Kazakov, and V. Savchenko ),
Computers & Graphics, Pergamon Press,
vol. 24, No. 1, pp. 6778. (2000)

"Transformation of functionally defined shapes by
extended space mappings ",
(with V. Savchenko),
The Visual Computer, vol. 14, No. 5/6, pp. 257270. (1998)

"Function representation for sweeping by a moving solid ",
(with A. Sourin ),
IEEE Transactions on Visualization and Computer Graphics ,
vol.2, No.1, pp.1118. (1996)

"Using real functions with application to hair modelling ",
(with A. Sourin and V. Savchenko ),
Computers and Graphics , vol.20, No.1, pp.1119. (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. 429446. (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. 181188 (1995).

"Geometric modeling in the analysis of trivariate functions ",
(with V. Pilyugin and V. Pokrovskiy),
Computers & Graphics,
vol. 12, Nos. 3/4, pp. 457465 (1988).
Last modified August 27, 2018
email: pasko at mail dot com