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/ V. V. Savchenko / Professor
/ Alexander G. Belyaev / Associate Professor
/ Valery Adzhiev / Visiting Researcher
/ Alexander A. Pasko / Assistant Professor
The research was focused on shape modeling with real-valued
functions, mesh smoothing and processing, curvature-based
image and shape analysis, and homogenization of partial
differntial equations
The research project on shape modeling using real-valued
functions included the following areas:
- Introduction, development and reporting a high-level language
HyperFun, which supports all features of F-rep modeling scheme.
the details can be found at the devoted Web site http*//www.hyperfun.org
- Implementation and experiments with different types of
analyically defined convolution surfaces. An extendable graphical user
interface
was implemented for interactive modeling.
- Interactive modeling of F-rep solids and isosurfaces using 4D Bezier
splines.
- Development of approach of using multidimensional modeling in
multimedia applications. A sample animation called "Homotopic fun
in 5D Space", which received a prize at the Dream Centenary CG Grand
Prix in Aizu.
- Application of genetic algorithms in reverse engineering F-rep shapes
of natural optical objects (fish and trilobit eyes) was studied and
reported.
Refereed Journal Papers
-
V. Adzhiev, R. Cartwright, E. Fausett, A. Ossipov, A. Pasko and
V. Savchenko.,
HyperFun Project: language and software tools for F-rep shape modeling.
Computer Graphics & Geometry Internet-Journal,
http://welcome.to/cgg, vol.1, No.10, 1999.
-
A. G. Belyaev, G. A. Chechkin, and R. R.Gadyl'shin.,
Effective membrane permeability: Estimates and low
concentration asymptotics.
SIAM J. Appl. Math.,
vol.60, No.1, pp.84-108, 2000.
-
Yu. Ohtake, A.G. Belyaev, and I.A. Bogaevski.,
Polyhedral surface smoothing with modified Laplacian and
curvature flows.
The Journal of Three Dimensional Images,
vol.13, No.3, pp.19-24, 1999.
-
A. G. Belyaev, E. V. Anoshkina, S. Yoshizawa, and M. Yano.,
Polygonal curve evolutions for planar shape modeling and analysis.
International Journal of Shape Modeling,
vol.15, No.2, pp.195-217, 1999.
Refereed Proceeding Papers
-
V. Adzhiev, A. Ossipov and A. Pasko.,
Multidimensional shape modeling in multimedia applications.
Multimedia Modeling '99, editor: A. Karmouch,
pp.39-60, 1999. World Scientific, Singapore.
-
V. Adzhiev, R. Cartwright, E. Fausett, A. Ossipov,
A. Pasko and V. Savchenko.,
HyperFun project: a framework for collaborative
multidimensional F-rep modeling.
Implicit Surfaces '99, Eurographics/ACM SIGGRAPH Workshop,
editor: J. Hughes and C. Schlick, pp.59-69, 1999.
-
B. Schmitt, A. Pasko and V. Savchenko.,
Extended space mapping with Bezier patches and volumes.
Implicit Surfaces '99, Eurographics/ACM SIGGRAPH Workshop,
editor: J. Hughes and C. Schlick, pp.25-31, 1999.
-
A. Pasko, V. Adzhiev and E. Fausett.,
Multidimensional shape modeling for animation.
EUROGRAPHICS'99, Short Papers and Demos,
editor: M. Alberti, G. Gallo and I. Jelinek, pp.23-25, 1999.
-
V. V. Savchenko and A. A. Pasko.,
Evolutionary optimization of functionally defined shapes:
case study of natural optical objects.
Computer Graphics International '99,
pp.20-24, 1999. IEEE Computer Society.
-
V. V. Savchenko, A. G. Basnakian and A. A. Pasko.,
Computer simulation and analysis of a growing mammalian cell colony.
Mathematical & Computational Biology: Computational
Morphogenesis, Hierarchical Complexity & Digital Evolution,
editor: C. L. Nehaniv, vol.26, Lectures on Mathematics in Life
Sciences Series, pp.111-120, 1999. American Mathematical Society.
Unrefereed Papers
-
A. G. Belyaev.,
A note on invariant three-point curvature approximations.
Surikaisekikenkyusho Kokyuroku (RIMS, Kyoto),
vol.15, No.1111, pp.157-164, 1999.
Technical Reports
-
V. Adzhiev, M. Beynon, R. Cartwright, E. Fausett, A.
Osipov, A. Pasko, S. Russ, V. Savchenko and B. Schmitt.,
Empirical and Geometric Modeling. University of Aizu,
No.99-1-007, 1999.
-
A. G. Belyaev, A. L. Piatnitski, and G. A. Chechkin.,
Homogenization of a second-order elliptic operator in a
perforated domain with oscillating Fourier boundary conditions.
University of Aizu, No.99-1-016, 1999.
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