Results 11 to 20 of about 188 (52)
Normal approximations of regular curves and surfaces [PDF]
, 2015 Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will offer a new method to provide approximations of regular curves and surfaces by Bezier ones, with the corresponding examples ...
Carriazo Rubio, Alfonso +2 more
core +3 more sources
A distance on curves modulo rigid transformations [PDF]
, 2014 We propose a geometric method for quantifying the difference between parametrized curves in Euclidean space by introducing a distance function on the space of parametrized curves up to rigid transformations (rotations and translations). Given two curves,
Eldering, Jaap, Vankerschaver, Joris
core +1 more source
Severi-Bouligand tangents, Frenet frames and Riesz spaces [PDF]
, 2014 It was recently proved that a compact set $X\subseteq \mathbb R^2$ has an outgoing Severi-Bouligand tangent vector $u\not=0$ at $x\in X$ iff some principal ideal of the Riesz space $\mathcal R(X)$ of piecewise linear functions on $X$ is not an ...
Cabrer, Leonardo Manuel +1 more
core +3 more sources
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, for the orthogonal group G = O(2) and special orthogonal group G = O+(2) global G-invariants of plane paths and plane curves in two-dimensional Euclidean space E2 are studied.
Khadjiev Djavvat, Ören İdris
doaj +1 more source
Characterization of Speherical Helices in Euclidean 3-Space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we calculate Frenet frames of the tangent indicatrix (t), principal normal indicatrix (n) and binormal indicatrix (b) of the curve α in ℝ3 which are spherical curves.
Ekmekci Nejat +2 more
doaj +1 more source
Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature [PDF]
, 2014 We relate the total curvature and the isoperimetric deficit of a curve $\gamma$ in a two-dimensional space of constant curvature with the area enclosed by the evolute of $\gamma$.
Cufí, Julià, Reventós, Agustí
core +2 more sources
Importance and effectiveness of representing the shapes of Cosserat rods and framed curves as paths in the special Euclidean algebra [PDF]
, 2017 We discuss how the shape of a special Cosserat rod can be represented as a path in the special Euclidean algebra. By shape we mean all those geometric features that are invariant under isometries of the three-dimensional ambient space. The representation
Fried, Eliot, Giusteri, Giulio G.
core +3 more sources
Approximating Ropelength by Energy Functions
, 2002 The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p increases.
Sullivan, John M
core +1 more source
Evolution of spoon-shaped networks
, 2016 We consider a regular embedded network composed by two curves, one of them closed, in a convex domain $\Omega$. The two curves meet only in one point, forming angle of $120$ degrees. The non-closed curve has a fixed end point on $\partial\Omega$.
Pluda, Alessandra
core +1 more source
Slant helices in three dimensional lie groups
, 2012 In this paper, we define slant helices in three dimensional Lie Groups with a bi-invariant metric and obtain a characterization of slant helices. Moreover, we give some relations between slant helices and their involutes, spherical images.Comment: 15 ...
Ekmekci, N. +3 more
core +1 more source