Alexander Belyaev's publications
200?
- Low concentration asymptotics of
effective diffusion
- Alexander Belyaev and Rustem Gadyl'shin
- In preparation
- Barycentric Coordinates for General Polytopes and
Spherical Polygons
- Torsten Langer, Alexander Belyaev, and Hans-Peter Seidel
- Submitted to CAGD.
2007
- On computing best fly
- Waqar Saleem, Wenhao Song, Alexander
Belyaev, and
Hans-Peter Seidel
- Spring Conference on Computer Graphics (SCCG 2007)
- Automatic 2D shape orientation by example
- Waqar Saleem, Danyi Wang, Alexander
Belyaev, and
Hans-Peter Seidel
- IEEE Shape Modeling International 2007
(short paper)
- Error-guided adaptive Fourier-based surface reconstruction
- Oliver Schall, Alexander Belyaev, and
Hans-Peter Seidel
- Exact and interpolatory quadratures for curvature tensor
estimation
- Torsten Langer, Alexander
Belyaev, and
Hans-Peter Seidel
- Computer Aided Geometric Design
- Mean value coordinates for arbitrary spherical polygons
and polyhedra in R^3
- Torsten Langer, Alexander
Belyaev, and
Hans-Peter Seidel
- Curves and Surfaces: Avignon 2006. Nashboro Press, 2007.
2006
- Skeleton-driven Laplacian mesh deformations
- Shin Yoshizawa, Alexander Belyaev, and
Hans-Peter Seidel
- Poster at 4th Eurographics Symposium
on Geometry Processing
- Adaptive Fourier-based surface reconstruction
- Oliver Schall, Alexander Belyaev, and
Hans-Peter Seidel
- Geometric Modeling and Processing 2006
- Smoothing by example: mesh denoising by averaging with
similarity-based weights
- Shin Yoshizawa, Alexander Belyaev, and
Hans-Peter Seidel
- IEEE Shape Modeling International 2006
- Towards salient and stable multi-view representation of 3D
shapes
- Hitoshi Yamauchi, Waqar Saleem, Shin Yoshizawa, Zachi
Karni,
Alexander Belyaev, and Hans-Peter Seidel
- IEEE Shape Modeling International 2006 (short paper)
- A Composite Approach to Meshing Scattered Data
- Yutaka Ohtake, Alexander Belyaev, and Hans-Peter Seidel
- Graphical Models. 68(3), 2006, pp.
255-267.
- Sparse surface reconstruction with adaptive partition of
unity and radial basis functions
- Yutaka Ohtake, Alexander Belyaev, and Hans-Peter Seidel
- Graphical Models. 68(1), 2006, pp. 15-24.
2005
- Exact Quadratures for Curvature Tensor Estimation
- Robust Filtering of Noisy Scattered Point Data
- Oliver Schall, Alexander Belyaev, and
Hans-Peter Seidel
- Asymptotic Analysis of Discrete Normals and Curvatures of
Polylines
- Shin Yoshizawa, Alexander Belyaev, and
Hans-Peter Seidel
- A moving mesh approach to stretch-minimizing mesh
parameterization
- Int. J. Shape Modeling, 11(1), 2005, pp. 25-42.
- 3D Scattered Data Interpolation and
Approximation with Multilevel
Compactly Supported RBFs
- Yutaka Ohtake, Alexander Belyaev, and
Hans-Peter Seidel
- Graphical
Models, 67(3), 2005, pp. 150-165.
2004
2003
2002
- Mesh
Smoothing by Adaptive and Anisotropic Gaussian Filter
- Asymptotic
Analysis of Three-Point Approximations of Vertex Normals and Curvatures
- Mesh Median Filter for Smoothing 3-D
Polygonal Surfaces
- Hirokazu Yagou, Alexander Belyaev,
Daming Wei
- Cyber
Worlds 2002 (Nov. 6-8, 2002, Tokyo, Japan)
- A
Simple Approach to Interactive Free-Form Shape Deformations
- Shin Yoshizawa, Alexander Belyaev, and
Hans-Peter Seidel
- Pacific
Graphics 2002 , Beijing, China, October 9-11, 2002, pp. 471-474.
- Towards a singularity-based shape
language: ridges, ravines, and
skeletons for polygonal surfaces
- Masayuki Hisada, Alexander G. Belyaev,
and
Tosiyasu L. Kunii
- Soft
Computing, Vol. 7, 2002, pp. 45-52.
2001
- Adaptive
Smoothing Tangential Direction Fields on Polygonal Surfaces
- Yutaka Ohtake, Masahiro Horikawa, and
Alexander Belyaev
- Pacific Graphics 2001, Tokyo, October
2001, pp. 189-197.
- Mesh
Optimization for Polygonized Isosurfaces
- Yutaka Ohtake and Alexander Belyaev
- Eurographics 2001. Computer Graphics
Forum, Vol. 20, No. 3,
pp. 368-376.
- Detection
of Salient Curvature Features on Polygonal Surfaces
- Kouki Watanabe and Alexander Belyaev
- Eurographics 2001. Computer Graphics
Forum, Vol. 20, No. 3,
pp. 385-392.
- Automatic
Detection of Geodesic Ridges and Ravines on Polygonal Surfaces
- Dynamic Meshes for Accurate
Polygonization of Implicit Surfaces
with Sharp Features
- Yutaka Ohtake, Alexander Belyaev, and
Alexander Pasko
- International Conference on Shape
Modeling and Applications,
Genova, Italy, May 2001, pp. 74-81.
- On Evolute Cusps and Skeleton
Bifurcations
- Alexander Belyaev and Shin Yoshizawa
- International Conference on Shape
Modeling and Applications,
Genova, Italy, May 2001, pp. 134-141.
- Homogenization of a second-order
elliptic operator in a
perforated domain with oscillating Fourier boundary conditions
- A.G.Belyaev, A.L.Piatnitski, and
G.A.Chechkin
- Sbornik:
Mathematics, Vol. 192, No. 7-8, 2001, pp. 933-949
- Mesh Regularization and Adaptive
Smoothing
- Yutaka Ohtake, Alexander Belyaev, and
Ilia
Bogaevski
- Computer-Aided Design, Vol. 33, 2001,
pp.
789-800.
2000
- Skeleton Branching Theorem
- Alexander Belyaev and Shin Yoshizawa
- Fukushima-Shanghai Int'l. Symp. on
Computer and Information
Technology, Aizu-Wakamatsu, Japan, Nov. 2000,
pp. 42-46.
- Detection of Geodesic Ridges and Ravines
on Polygonal Surfaces
- Yutaka Ohtake and Alexander Belyaev
- Human and Computer 2000, Sept. 2000,
Aizu-Wakamatsu, Japan,
pp. 5-10.
- Detection of Curvature Extrema on
Polygonal Surfaces
- Kouki Watanabe and Alexander Belyaev
- Human and Computer 2000, Sept. 2000,
Aizu-Wakamatsu, Japan,
pp. 11-14.
- k-Nearest-Neighbors Graph for Fast and
Robust Connection of
Large 3D Point Datasets
- Nonlinear Diffusion of Normals for
Stable Detection of Ridges
and Ravines on Range Images and Polygonal
Models
- Yutaka Ohtake and Alexander Belyaev
- Proc. of MVA2000, IAPR Workshop on
Machine Vision
Applications, Nov. 2000, Tokyo, Japan, pp. 497-500.
- Visualization and Study of Dynamic 2D
Shapes via Curvature
- Shin Yoshizawa and Alexander Belyaev
- International Conference on Multimedia
Modeling (MMM 2000)
Nov. 13-15, 2000, Nagano, Japan, pp. 469-489.
- Detection of ridges and ravines on range
images and triangular meshes
- Alexander Belyaev, Yutaka Ohtake, and
Kasumi Abe
- Vision Geometry IX, SPIE 4117, San
Diego,
USA, July-Aug. 2000, pp. 146-154.
- An image processing approach to
detection of ridges and ravines
on polygonal surfaces
- A.Belyaev and Yu.Ohtake
- Eurographics 2000, Short
Presentations, pp. 19-28.
- Polyhedral Surface Smoothing with
Simultaneous Mesh
Regularization
- Yu.Ohtake, A.G.Belyaev, and
I.A.Bogaevski
- Geometric Modeling and Processing
2000, Hong Kong, April 2000,
pp. 229-237.
- Effective membrane permeability:
Estimates and low concentration
asymptotics
- A.G.Belyaev, G.A.Chechkin, and
R.R.Gadyl'shin
- SIAM J. Appl. Math., January 2000,Vol.
60, No. 1, pp. 84-108.
1999
- Polyhedral surface smoothing with
modified Laplacian and
curvature flows
- Nonlinear spline generation with curve
evolutions
driven by curvature
- A.G.Belyaev, E.V.Anoshkina, and
S.Yoshizawa
- Shape Modeling International '99,
Aizu-Wakamatsu, March 1999,
pp. 146-153.
1998
- Ridges
and ravines on implicit surfaces
- A.G.Belyaev, A.A.Pasko, and T.L.Kunii
- Proc. of Computer Graphics
International '98,
Hannover, June 1998, pp. 530-535.
- Visualization of Noh masks curvature
features
- J.Takagi, A.G.Belyaev, and T.L.Kunii
- Proc. of Computer Graphics
International '98,
Hannover, June 1998, pp. 572-574.
- Asymptotic behavior of a solution to a
boundary-value problem in
a perforated domain with oscillating boundary
- A.G.Belyaev, A.L.Piatnitski, and
G.A.Chechkin
- Siberian Math. J., 1998, Vol. 39, No.
4, pp. 621-644.
1997
- Ridges and ravines on a surface and
segmentation of range images
- A.G.Belyaev, I.A.Bogaevski, and
T.L.Kunii
- Vision Geometry VI, SPIE 3168,
San-Diego, CA, July
1997, pp. 106-114.
- Qualitative and asymptotic properties of
curvature-driven
silhouette deformations
- I.A.Bogaevski, A.G.Belyaev, and
T.L.Kunii
- Vision Geometry VI, SPIE 3168,
San-Diego, CA, July
1997, pp. 167-176.
- Ridges,
Ravines, and Singularities
- A.G.Belyaev, E.V.Anoshkina, and
T.L.Kunii
- Chapter 18 in A.T.Fomenko and
T.L.Kunii, "Topological Modeling
for Visualization", Springer, 1997.
- Fast algorithms for ridge detection
- V.Lang, A.G.Belyaev, I.A.Bogaevski,
and T.L.Kunii
- Shape Modeling International '97,
Aizu-Wakamatsu, Japan, March
1997, pp. 189-197.
1996
- Shape modeling and shape analysis based
on
singularities
- Y.Shinagawa, T.L.Kunii, A.G.Belyaev,
and T.Tsukioka
- Int. J. of Shape Modeling, 1996, Vol.
2, No. 1, pp. 85-102.
1995
- Ridges, ravines, and related point
features on a surface
- A.G.Belyaev, E.V.Anoshkina, and
T.L.Kunii
- Vision Geometry IV, SPIE 2573, July
1995,
pp. 84-95.
- Homogenization of a mixed boundary-value
problem for the Laplace
operator in the case of an insoluble `limit' problem
- A.G.Belyaev and G.A.Chechkin
- Sbornik: Mathematics, 1995, Vol. 186,
No.
4, pp. 511-525.
- Asymptotics of solutions of boundary
value problems in
periodically perforated domains with small holes
- A.G.Belyaev
- Journal of Mathematical Sciences,
1995, Vol. 75, No. 3, pp.
1715-1749.
- Ridges and ravines on a surface
and
related geometry of skeletons, caustics, and wavefronts
- E.V.Anoshkina, A.G.Belyaev, R.Huang,
and T.L.Kunii
- Computer Graphics International '95,
Leeds, UK, 1995, pp.
311-326.
- Low concentration limit for the
Dirichlet
homogenization problem
- A.G.Belyaev and S.M.Kozlov
- pp. 37-63 in Second Workshop on
Composite
Media and Homogenization Theory, World Scientific, 1995.
1994
- Dirichlet homogenization problem for
linear elasticity system
- A.G.Belyaev
- Technical Report 94-4-003, University
of Aizu, 1994.
- Hierarchic shape description via
singularity and multiscaling
- T.L.Kunii, A.G.Belyaev, E.V.Anoshkina,
S.Takahashi, R.Huang,
and O.G.Okunev
- COMPSAC 94, Taipei, Taiwan, November
1994, pp. 242-251.
- Detection
of ridges and ravines based on caustic singularities
- E.V.Anoshkina, A.G.Belyaev, and
T.L.Kunii,
- Int. J. of Shape Modeling, 1994, Vol.
1, No. 1, pp. 13-22.
- Ridges
and ravines: a singularity approach
- E.V.Anoshkina, A.G.Belyaev,
O.G.Okunev, and T.L.Kuni
- Int. J. of Shape Modeling, 1994, Vol.
1, No. 1, pp. 1-11.
1993
I moved to University of Aizu and started my reasearch on
Geometric
Modeling
1992
- Plane wave diffraction by a rapidly
oscillating surface
- A.G.Belyaev, A.G.Mikheev, and
A.S.Shamaev
- Comput. Math. Math. Phys., 1992, Vol.
32, No. 8, pp.
1121-1133.
- Asymptotic analysis of the Dirichlet
boundary value problem for
the Poisson equation on a periodically perforated torus in the case
when the limit problem lies on the spectrum
- A.G.Belyaev
- Theory of Functions. Differential
Equations in Mathematical
Modeling,Voronezh winter school, 1992 (in Russian).
1991
- A boundary value problem for the Poisson
equation in a
perforated domain with small inclusions
- A.G.Belyaev
- Moscow Univ. Math. Bull., 1991, Vol.
46, No. 6, pp. 29-33.
1990
- Averaging of a mixed boundary value
problem for the Poisson
equation in a domain perforated along the boundary
- A.G.Belyaev
- Petrovsky Seminar - Moscow Math. Soc.
Conference, Russian
Math. Surveys, 1990, Vol. 45, No. 4, p. 140
- On singular perturbations of boundary
value problems
- A.G.Belyaev
- PhD thesis, Lomonosov Moscow State
University, 1990 (in
Russian)
1989
- Asymptotics of the solution of the
Dirichlet problem for the
Poisson equation in a perforated domain with
fine cavities
- A.G.Belyaev
- Petrovsky Seminar - Moscow Math. Soc.
Conference, Russian
Math. Surveys, 1989, Vol. 44, No. 4, p. 201.
1988
- On homogenization of boundary value
problems in domains with
rapidly oscillating boundaries
- A.G.Belyaev
- Petrovsky Seminar - Moscow Math. Soc.
Conference, Uspehi
Matem. Nauk, 1988, Vol. 43, No. 4, p. 137 (in Russian).
- Homogenization of a third boundary value
problem for the Poisson
equation in a domain with rapidly oscillating boundary
- A.G.Belyaev
- Vestnik Moskovskogo Universiteta,
1988, Ser. Mat., No. 6, pp.
63-66 (in Russian).
