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Research
Publications
2008
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K. Karciauskas, J. Peters, On the curvature of guided surfaces,
Computer Aided Geometric Design 25, (2008) 69-79.
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R. Krasauskas,
Branching blend of natural quadrics based on surfaces with rational offsets,
Computer Aided Geometric Design 25, (2008) 332-341.
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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.
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A. Myles, K. Karciauskas, J. Peters,
Pairs of bicubic surface constructions supporting polar connectivity,
Computer Aided Geometric Design 25,
(2008) 621-630.
2007
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K. Karciauskas, J. Peters, Concentric tessellation maps and curvature continuous guided surfaces, Computer Aided Geometric Design 24, (2007) 99-111.
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K. Karciauskas, J. Peters, Surfaces with polar structure,
Computing 79, (2007) 309-315.
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K. Karciauskas, J. Peters, Bicubic polar subdivision,
ACM Transactions on Graphics 26, (2007) 26 (4), 6 psl.
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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.
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R. Krasauskas,
Minimal rational parametrizations of canal surfaces,
Computing 79, (2007) 281-290.
2006
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K. Karciauskas, A. Myles, J. Peters,
A C2 polar jet subdivision, SGP 2006 Symposium on Geometry Processing 2006, pp. 173-180.
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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.
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S. Zube, A circle representation using complex and quaternion numbers,
Lithuanian Mathematical Journal 46, (2006) 246-255.
2005
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M. Kazakeviciute, Classification of pairs of natural quadrics from the point of view of Laguerre geometry,
Lithuanian Mathematical Journal 45, (2005) 50-65.
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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.
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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
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K. Karciauskas, Gaussian and mean curvatures of rational maps,
Computer Aided Geometric Design 21, (2004) 417-419.
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K. Karciauskas, Jorg Peters, U. Reif, Shape characterization of subdivision surfaces: Case studies,
Computer Aided Geometric Design 21, (2004) 601-614.
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S. Zube, Number systems, alpha-splines and refinement, Journal of Computational and Applied Mathematics 172 (2004) 207-231.
2003
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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.
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K. Karciauskas, Rational M-patsches and tensor-border patches,
Topics in Algebraic Geometry and Geometric Modeling,
Contemporary Mathematics 334, (2003) 111-128.
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R. Krasauskas, R. Goldman, Toric Bezier patches with
depth, Topics in Algebraic Geometry and Geometric Modeling,
Contemporary Mathematics 334, (2003) 65-291.
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W Wang, R. Krasauskas, Interference analysis of conics and quadrics, Topics in Algebraic Geometry and Geometric Modeling,
Contemporary Mathematics 334, (2003) 25-36.
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