Results 51 to 60 of about 86 (82)
The effect of knot modifications on the shape of B-spline curves
. 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
Affine Subspaces of Curvature Functions from Closed Planar Curves. [PDF]
Alese L.
europepmc +1 more source
Solving initial value problem by different numerical methods [PDF]
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]
Blatt S, Hopper CP, Vorderobermeier N.
europepmc +1 more source
Degenerate Elastic Networks. [PDF]
Del Nin G, Pluda A, Pozzetta M.
europepmc +1 more source
Quaternion-Based Representation of Rotation Minimizing Motions in Euclidean 3-space
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
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
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
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]
Abazari N, Bohner M, Sağer I, Yayli Y.
europepmc +1 more source

