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L-systems in Geometric Modeling [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 We show that parametric context-sensitive L-systems with affine geometry interpretation provide a succinct description of some of the most fundamental algorithms of geometric modeling of curves.
Przemyslaw Prusinkiewicz +2 more
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Geometric convergence rates for cardinal spline subdivision with general integer arity
Journal of Numerical Analysis and Approximation Theory, 2019 A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with general integer arity, for which the binary case, with arity two, is a well-studied subject.
Johan de Villiers +1 more
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Construction of Developable Surface with Geodesic or Line of Curvature Coordinates
Journal of New Theory, 2021 In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
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$ G^2/C^1 $ Hermite interpolation of offset curves of parametric regular curves
AIMS Mathematics, 2023 In this paper we presented a method of $ G^2 $ Hermite interpolation of offset curves of regular plane curves based on approximating the normal vector fields. We showed that our approximant is also $ C^1 $ Hermite interpolation of the offset curve.
Young Joon Ahn
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Reptile biodiversity in Souss-Massa National Park: an internationally important hotspot in the Mediterranean region [PDF]
Biodiversity Data Journal, 2022 Souss-Massa National Park (SMNP) is Morocco’s first coastal national park, created to preserve the high diversity of its continental and marine environments.
Abderrafea Elbahi +5 more
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Frontiers in Materials, 2022 In the context of parametric surrogates, several nontrivial issues arise when a whole curve shall be predicted from given input features. For instance, different sampling or ending points lead to non-aligned curves.
Victor Champaney +7 more
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NURBS-Based Parametric Design for Ship Hull Form
Journal of Marine Science and Engineering, 2022 Recently, the NURBS technique has been widely used in the 3D design software for ships. However, in most research, the NURBS technique is only applied to the mathematical representation of hull curves and surfaces, and the parametric deformation of hull ...
Hui Zhou +4 more
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Curve and Surface Geometric Modeling via Generalized Bézier-like Model
Mathematics, 2022 Generalized Bernstein-like functions (gB-like functions) with different shape parameters are used in this work. Parametric and geometric conditions in generalized form are developed. Some numerical examples of the parametric continuity (PC) and geometric
Moavia Ameer +4 more
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Parametric Generation of Small Ship Hulls with CAD Software
Journal of Marine Science and Engineering, 2023 CAD software is a daily tool in ship design offices and shipyards, and every software uses NURBS or B-splines curves and surfaces as common foundations.
Francisco Pérez-Arribas
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Mathematical and Computational Applications, 2022 This study aims to propose a flexible, fully parametric hazard-based regression model for censored time-to-event data with crossing survival curves. We call it the accelerated hazard (AH) model.
Abdisalam Hassan Muse +3 more
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