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Article
Computer Science, Software Engineering
K. Karciauskas et al.
Summary: To improve the shape deficiencies of C-2 bi-cubic subdivision surfaces, a new method called Evolving Guide subdivision (EG subdivision) is proposed, which utilizes C-2 bi-quartic splines to approximate piecewise polynomial surface pieces near extraordinary points. Unlike guided subdivision, which relies on guide surfaces in a geometry-dependent process, EG subdivision defines five new explicit subdivision rules. The resulting surfaces generated by EG subdivision exhibit better shape and do not suffer from oscillations and pinched highlight lines commonly seen in Catmull-Clark subdivision. The control net of EG subdivision can have a similar structure as Catmull-Clark subdivision, with two rings of 4-sided facets around each extraordinary node separated by regular nodes.
COMPUTER GRAPHICS FORUM
(2023)
Article
Computer Science, Software Engineering
Malcolm A. Sabin et al.
Summary: This paper presents a method for adding surface details to existing CAD models using truncated powers, allowing precise alignment with curved knot lines and control over continuity across these lines. The approach is compatible with current CAD/CAM practices and standards, demonstrated on several examples.
COMPUTER-AIDED DESIGN
(2022)
Article
Computer Science, Software Engineering
Michelangelo Marsala et al.
Summary: This paper presents the construction of a globally G1 family of Bezier surfaces by using smoothing masks that approximate the well-known Catmull-Clark subdivision surface. The resulting surface consists of Bezier patches, with biquintic G1 smoothness around extraordinary vertices and bicubic smoothness elsewhere. The G1 conditions are defined using quadratic gluing data around extraordinary vertices and degree five patches. Different schemes are explored and curvature analysis is conducted to evaluate the quality of the resulting surfaces. Numerical results show that the surfaces converge quadratically to the Catmull-Clark limit when the mesh is subdivided.
COMPUTER AIDED GEOMETRIC DESIGN
(2022)
Article
Computer Science, Software Engineering
Kestutis Karciauskas et al.
Summary: This paper explores the minimal polynomial degree for smooth construction of multi-sided surfaces, ensuring more flexibility under refinement. The degree bi-4 is both necessary and sufficient for flexibility-increasing in spline complexes, proven by two alternative constructions demonstrating good highlight line distributions.
COMPUTER-AIDED DESIGN
(2021)
Article
Engineering, Multidisciplinary
Xiaodong Wei et al.
Summary: This article introduces tuned hybrid nonuniform subdivision (tHNUS) surfaces, which achieve optimal convergence rates in isogeometric analysis by controlling the rate of shrinkage. tHNUS retains comparable shape quality as HNUS, with refinable basis functions and global continuity. Through numerical demonstrations, it is shown that tHNUS basis functions can achieve optimal convergence rates for specific problems.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Computer Science, Software Engineering
Marton Vaitkus et al.
Summary: The paper introduces a new surface representation called Generalized B-spline (GBS) patch that combines ribbon interpolants in B-spline form and connects to tensor-product B-spline surfaces with arbitrary G(m) continuity. It elaborates on new details such as modified weighting functions and introduces a new local parameterization method using harmonic functions to handle periodic hole loops. Several examples illustrate the capabilities of the proposed scheme, which is based on a computationally efficient discretization.
COMPUTER AIDED GEOMETRIC DESIGN
(2021)
Article
Computer Science, Software Engineering
Ahmed Blidia et al.
COMPUTER AIDED GEOMETRIC DESIGN
(2020)
Article
Computer Science, Software Engineering
Gerben J. Hettinga et al.
COMPUTER-AIDED DESIGN
(2020)
Article
Computer Science, Software Engineering
Yue Ma et al.
COMPUTER GRAPHICS FORUM
(2018)
Article
Computer Science, Software Engineering
Mario Kapl et al.
COMPUTER AIDED GEOMETRIC DESIGN
(2017)
Article
Computer Science, Software Engineering
Kestutis Karciauskas et al.
COMPUTER AIDED GEOMETRIC DESIGN
(2016)
Article
Computer Science, Software Engineering
Kestutis Karciauskas et al.
COMPUTER-AIDED DESIGN
(2016)
Article
Computer Science, Software Engineering
Kestutis Karciauskas et al.
COMPUTER GRAPHICS FORUM
(2015)
Article
Computer Science, Software Engineering
Kestutis Karciauskas et al.
Article
Computer Science, Software Engineering
Georges-Pierre Bonneau et al.
Article
Computer Science, Software Engineering
Jianhua Fan et al.
COMPUTER-AIDED DESIGN
(2011)
Article
Computer Science, Software Engineering
Charles Loop et al.
ACM TRANSACTIONS ON GRAPHICS
(2009)
Article
Computer Science, Software Engineering
Charles Loop et al.
COMPUTER GRAPHICS FORUM
(2008)
