Results 21 to 30 of about 59 (54)

Logarithmic Curvature Graph as a Shape Interrogation Tool [PDF]

, 2014
A compact formula for Logarithmic Curvature Graph(LCG) and its gradient for planar curves has been shown which can be used as shape interrogation tool. Using these entities, the mathematical definition for a curve to be aesthetic has been introduced to ...
Kenjiro T Miura, R U Gobithaasan
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B-spline curve theory: An overview and applications in real life

Nonlinear Engineering
This study commences by delving into B-spline curves, their essential properties, and their practical implementations in the real world. It also examines the role of knot vectors, control points, and de Boor’s algorithm in creating an elegant and ...
Hasan Md. Shahid, Alam Md. Nur, Fayz-Al-Asad Md., Muhammad Noor, Tunç Cemil   +4 more
doaj   +1 more source

Approximation by interpolation operators with piecewise polynomial basis functions

Demonstratio Mathematica
This paper focuses on approximation by interpolation operators with piecewise polynomial basis functions. It first shows that the interpolation operator introduced by Zhan, Huang and Liu (A class of interpolation basis functions with excellent properties,
Mei Ying, Yu Dansheng
doaj   +1 more source

Enhanced curve representations using piecewise non-linear binary subdivision scheme

Arab Journal of Basic and Applied Sciences
This study presents a piecewise non-linear binary subdivision scheme based on a four-point linear binary subdivision scheme. This scheme is first transformed into a piecewise linear subdivision scheme and then into a piecewise non-linear subdivision ...
Rabia Hameed, Areeb Jamil, Jihad Younis
doaj   +1 more source

Control point based representation of inellipses of triangles [PDF]

We provide a control point based parametric description of inellipses of triangles, where the control points are the vertices of the triangle themselves.
Juhász, Imre
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Implementing the GSOSM algorithm [PDF]

GSOSM algorithm is a method to reconstruct a surface from a set of scattered points. Implementing this algorithm on a sequential or parallel method contains several interesting questions.
Menyhárt, Nikolett Fanni, Hernyák, Zoltán   +1 more
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B-Splines with Arbitrary Connection Matrices

, 2008
We consider a space of Chebyshev splines whose left and right derivatives satisfy linear constraints that are given by arbitrary non-singular connection matrices.
Hartmut Prautzsch
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ANOTHER TYPE OF GENERALIZED BALL CURVES AND SURFACES ∗

, 2008
In 2000, Wu presented two new types of generalized Ball curves, one of which is called an NB1 curve located between the Wang–Ball curve and the Said–Ball curve.
Yu Dan, Chen Xinmeng
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An Adaptive Hierarchical Approximation Method on the Sphere Using Axisymmetric Locally Supported Basis Functions

, 1996
The paper discusses the approximation of scattered data on the sphere which is one of the major tasks in geomathematics. Starting from the discretization of singular integrals on the sphere the authors devise a simple approximation method that employs ...
Willi Freeden, Fröhhlich, J., Brand, R., Rüdiger Brand, Freeden, Willi, Jochen Fröhlich   +5 more
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Monotonicity Preservation on Triangles

, 1997
: It is well known that Bernstein polynomials on triangles preserve monotonicity. In this paper we define and study three kinds of monotonicity preservation of systems of bivariate functions on a triangle.
Michael S. Floater, J. M. Peña, J. M. Pe~na   +2 more
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