Results 141 to 150 of about 356 (177)
Some of the next articles are maybe not open access.
Applications of Laguerre geometry in CAGD
Computer Aided Geometric Design, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Helmut Pottmann, Martin Peternell
openaire +2 more sources
Studying cyclides with Laguerre geometry
Computer Aided Geometric Design, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rimvydas Krasauskas, C. Mäurer
openaire +2 more sources
Two-Dimensional Laguerre Geometry
2021In this section we present two-dimensional Laguerre geometry in an elementary way, without reference to the following more general discussion, which begins in Chap. 3. We first introduce the most basic concepts of these geometries in the Euclidean plane and then turn to the elliptic and hyperbolic plane.
Alexander I. Bobenko +3 more
openaire +1 more source
2021
According to Felix Klein’s Erlangen program geometry is the study of invariants under a certain group of transformations. For example for Euclidean geometry this is the well-known Euclidean group. Analogously the less-known Laguerre geometry - which this thesis is dedicated to - is the study of invariants under the group of Laguerre transformations ...
openaire +1 more source
According to Felix Klein’s Erlangen program geometry is the study of invariants under a certain group of transformations. For example for Euclidean geometry this is the well-known Euclidean group. Analogously the less-known Laguerre geometry - which this thesis is dedicated to - is the study of invariants under the group of Laguerre transformations ...
openaire +1 more source
Non-Euclidean Laguerre Geometry
2021The primary objects in Mobius geometry are points on \(\mathcal {S}\), which yield a double cover of the points in hyperbolic/elliptic space, and spheres, which yield a double cover of the spheres in hyperbolic/elliptic space. The primary incidence between these objects is a point lying on a sphere.
Alexander I. Bobenko +3 more
openaire +1 more source
Voronoi Diagram in the Laguerre Geometry and Its Applications
SIAM Journal on Computing, 1985The authors extend the concept of Voronoi diagram in the ordinary Euclidean geometry for n points to the one in the Laguerre geometry for n circles in the plane, where the distance between a circle and a point is defined by the length of the tangent line. Specifically, the distance \(d_ L(C_ i,P)\) between a circle \(C_ i\), with center \((x_ i,y_ i)\)
Hiroshi Imai, Masao Iri, Kazuo Murota
openaire +2 more sources
Studies in turbine geometry—II. On the sub-geometries of lie which belong to the Mobius-Laguerre pencil [PDF]
Proceedings of the Indian Academy of Sciences - Section A, 1938 This article does not have an ...
Narasinga Rao, A.
exaly +2 more sources
Laguerre geometry of hypersurfaces in $$\mathbb{R}^{n}$$
manuscripta mathematica, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Tongzhu, Wang, Changping
openaire +1 more source
On the Equation Defining Isothermic Surfaces in Laguerre Geometry
1999A surface f : M 2 → E 3 oriented by a unit normal field n induces a lift F = (f, n) to the space Λ = E 3 × S 2 of contact elements of E 3 which is a Legendre immersion with respect to the canonical contact structure of Λ. Λ is a homogeneous space of the 10-dimensional group L of Laguerre contact trasformations. These are transformations on the space of
MUSSO, EMILIO, L. NICOLODI
openaire +2 more sources
Isothermal surfaces in Laguerre geometry
1997An immersion \(F:M^2\to \mathbb{R}^3\), oriented by a unit normal field \(n:M^2\to S^2\), induces a lift \(F= (f,n): M^2\to \mathbb{R}^3\times S^2=:\Lambda\) into the space of contact elements. \(\Lambda\) can be considered as the underlying space for Laguerre geometry: the geometry of the group is those transformations that map oriented planes in ...
MUSSO, EMILIO, NICOLODI L.
openaire +2 more sources