Next: Image Processing Laboratory Up: Department of Computer Previous: Computer Graphics Laboratory

Shape Modeling Laboratory


/ 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:


Refereed Journal Papers

  1. 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.

  2. 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.

  3. 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.

  4. 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

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

  6. 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

  1. 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

  1. 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.

  2. 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.



Next: Image Processing Laboratory Up: Department of Computer Previous: Computer Graphics Laboratory


www@u-aizu.ac.jp
August 2000