Results 51 to 60 of about 86 (82)

The effect of knot modifications on the shape of B-spline curves

open access: yes, 2001
. This paper is devoted to the shape control of B-spline curves achieved by the modification of one of its knot values. At first those curves are described along which the points of a B-spline curve move under the modification of a knot value.
Imre Juhász, Miklós Hoffmann
core  

Solving initial value problem by different numerical methods [PDF]

open access: yes
Our aim was to study what kind of bases can be provided to understand the basic terms of differential equation through teaching mathematical material in secondary school and to what extent this basis has to be expanded so that we can help the ...
Geda, Gábor
core  

A minimising movement scheme for the <i>p</i>-elastic energy of curves. [PDF]

open access: yesJ Evol Equ, 2022
Blatt S, Hopper CP, Vorderobermeier N.
europepmc   +1 more source

Degenerate Elastic Networks. [PDF]

open access: yesJ Geom Anal, 2021
Del Nin G, Pluda A, Pozzetta M.
europepmc   +1 more source

Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents a quaternion-based framework for constructing rotation-minimizing motions in Euclidean 3-space, formulated via quaternion operator. By introducing a novel quaternion operator, we derive angular velocity representations directly from ...
Aksar Murat, Yaylı Yusuf
doaj   +1 more source

Minimizing the Elastic Energy of Knots

open access: yes, 1998
We consider the problem of minimizing the bending energy Eb = R 2 ds on isotopy classes of closed curves in IR 3 to model the elastic behaviour of knotted loops of springy wire.
Heiko Von Der Mosel   +1 more
core  

Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting   +3 more
doaj   +1 more source

Involutes of fronts in the Euclidean plane

open access: yes
application/pdfFor a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity.
福永, 知則   +5 more
core  

Stationary acceleration of Frenet curves. [PDF]

open access: yesJ Inequal Appl, 2017
Abazari N, Bohner M, Sağer I, Yayli Y.
europepmc   +1 more source

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