Computer Aided Geometry Lab
There is no royal road to geometry... [Euclid]
Department of Computer Science II    Faculty of Mathematics and Informatics    Vilnius University
Laboratory
About
Research
Teaching
Staff
Contacts
SAGA project:

Conferences

AGGM, COMPASS
Nearest event:
Oslo 2012

Research

Publications

2008

  • K. Karciauskas, J. Peters, On the curvature of guided surfaces, Computer Aided Geometric Design 25, (2008) 69-79.
  • R. Krasauskas, Branching blend of natural quadrics based on surfaces with rational offsets, Computer Aided Geometric Design 25, (2008) 332-341.
  • R. Krasauskas, S. Zube, Canal surfaces defined by quadratic families of spheres in: B. Juettler and R. Piene (eds.) Geometric Modeling and Algebraic Geometry, Springer 2008, 79-92.
  • A. Myles, K. Karciauskas, J. Peters, Pairs of bicubic surface constructions supporting polar connectivity, Computer Aided Geometric Design 25, (2008) 621-630.

2007

  • K. Karciauskas, J. Peters, Concentric tessellation maps and curvature continuous guided surfaces, Computer Aided Geometric Design 24, (2007) 99-111.
  • K. Karciauskas, J. Peters, Surfaces with polar structure, Computing 79, (2007) 309-315.
  • K. Karciauskas, J. Peters, Bicubic polar subdivision, ACM Transactions on Graphics 26, (2007) 26 (4), 6 psl.
  • K. Karciauskas, J. Peters, Guided C2 spline surfaces with V-shaped tessellation, in: Mathematics of surfaces XII: 12th IMA international conference, Sheffield, UK, September 4-6, 2007 proceedings, Lecture notes in computer science 4647, (2007) 233-244.
  • R. Krasauskas, Minimal rational parametrizations of canal surfaces, Computing 79, (2007) 281-290.

2006

  • K. Karciauskas, A. Myles, J. Peters, A C2 polar jet subdivision, SGP 2006 Symposium on Geometry Processing 2006, pp. 173-180.
  • R. Krasauskas, Bezier patches on almost toric surfaces, in: Elkadi, M., Mourrain, B. and Piene, R. (eds.), Algebraic Geometry and Geometric Modeling, Mathematics and Visualization Series, Springer, (2006) 135-150.
  • S. Zube, A circle representation using complex and quaternion numbers, Lithuanian Mathematical Journal 46, (2006) 246-255.

2005

  • M. Kazakeviciute, Classification of pairs of natural quadrics from the point of view of Laguerre geometry, Lithuanian Mathematical Journal 45, (2005) 50-65.
  • K. Karciauskas, J. Peters, Polynomial C2 spline surfaces guided by rational multisided patches, in: Computational Methods for Algebraic Spline Surfaces, ESF Exploratory Workshop, Springer, (2005) 119-134.
  • R. Krasauskas, M. Kazakeviciute, Universal rational parametrizations and spline curves on toric surfaces, in: Computational Methods for Algebraic Spline Surfaces, ESF Exploratory Workshop, Springer, (2005) 213-232.

2004

  • K. Karciauskas, Gaussian and mean curvatures of rational maps, Computer Aided Geometric Design 21, (2004) 417-419.
  • K. Karciauskas, Jorg Peters, U. Reif, Shape characterization of subdivision surfaces: Case studies, Computer Aided Geometric Design 21, (2004) 601-614.
  • S. Zube, Number systems, alpha-splines and refinement, Journal of Computational and Applied Mathematics 172 (2004) 207-231.

2003

  • D. Cox, R. Krasauskas, M. Mustata, Universal rational parametrizations and toric varieties, Topics in Algebraic Geometry and Geometric Modeling, Contemporary Mathematics 334, (2003) 241-265.
  • K. Karciauskas, Rational M-patsches and tensor-border patches, Topics in Algebraic Geometry and Geometric Modeling, Contemporary Mathematics 334, (2003) 111-128.
  • R. Krasauskas, R. Goldman, Toric Bezier patches with depth, Topics in Algebraic Geometry and Geometric Modeling, Contemporary Mathematics 334, (2003) 65-291.
  • W Wang, R. Krasauskas, Interference analysis of conics and quadrics, Topics in Algebraic Geometry and Geometric Modeling, Contemporary Mathematics 334, (2003) 25-36.

3D Gallery

[Link to VRML Wikipedia]
Viewing VRML

Surfaces:

Algebraic surfaces
Patchworks
Canal surfaces
PN surfaces
 

Web 3D graphics:

Architecture
 

Phone: +370 5 2193090   Fax: +370 5 2151585  Email: rimvydas . krasauskas (ETA) mif.vu.lt
Naugarduko g. 24, LT-03225, Vilnius, Lithuania.

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