Results 21 to 30 of about 201,245 (267)
Advances in Difference Equations, 2021 This study is based on some C 1 $C^{1}$ , C 2 $C^{2}$ , and C 3 $C^{3}$ continuous computer-based surfaces that are modeled by using generalized blended trigonometric Bézier (shortly, GBT-Bézier) curves with shape parameters.
Sidra Maqsood +5 more
doaj +1 more source
Equivalent Curves in Surfaces [PDF]
Geometriae Dedicata, 2003 To appear in Geometriae Dedicata, 23 pages, 8 figures, see also http://www.math.columbia.edu ...
openaire +3 more sources
On a class of Bézier-like model for shape-preserving approximation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 A class of Bernstein-like basis functions, equipped with a shape param-eter, is presented. Employing the introduced basis functions, the corre-sponding curve and surface in rectangular patches are defined based on some control points. It is verified that
B. Nouri, J. Saeidian
doaj +1 more source
Capturing information on curves and surfaces from their projected images
International Journal of Mathematics for Industry, 2020 Obtaining complete information about the shape of an object by looking at it from a single direction is impossible in general. In this paper, we theoretically study obtaining differential geometric information of an object from orthogonal projections in ...
Masaru Hasegawa +2 more
doaj +1 more source
Some Aspects of Rectifying Curves on Regular Surfaces Under Different Transformations
International Journal of Analysis and Applications, 2023 An essential space curve in the study of differential geometry is the rectifying curve. In this paper, we studied the adequate requirement for a rectifying curve under the isometry of the surfaces.
Sandeep Sharma, Kuljeet Singh
doaj +1 more source
Embeddings of curves and surfaces [PDF]
Nagoya Mathematical Journal, 1999 AbstractWe prove a general embedding theorem for Cohen-Macaulay curves (possibly nonreduced), and deduce a cheap proof of the standard results on pluricanonical embeddings of surfaces, assuming vanishing H1(2KX) = 0.
F. CATANESE +3 more
openaire +5 more sources
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
doaj +1 more source
Minimal Curves on Ruled Surfaces Generated by Legendre Curves
Journal of New TheoryIn this paper, we study the conditions under which Legendre curves on ruled surfaces are classified as minimal loci. By investigating the scenario where the directive curve is a binormal vector, we establish the criteria for these curves to have minimal ...
Yusuf Yaylı, İsmet Gölgeleyen
doaj +1 more source
Generalized Fractional Bézier Curve with Shape Parameters
Mathematics, 2021 The construction of new basis functions for the Bézier or B-spline curve has been one of the most popular themes in recent studies in Computer Aided Geometric Design (CAGD).
Syed Ahmad Aidil Adha Said Mad Zain +2 more
doaj +1 more source
Wetting of curved surfaces [PDF]
Physica A: Statistical Mechanics and its Applications, 1998 As a first step towards a microscopic understanding of the effective interaction between colloidal particles suspended in a solvent we study the wetting behavior of one-component fluids at spheres and fibers. We describe these phenomena within density functional theory which keeps track of the microscopic interaction potentials governing these systems.
Bieker, T., Dietrich, S.
openaire +3 more sources