A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Three Moves on Signed Surface Triangulations

2002
*
Journal of combinatorial theory. Series B (Print)
*

We introduce

doi:10.1006/jctb.2001.2066
fatcat:mug4rnrvbrbunlregmxucd6nam
*three**moves**on**signed**surface**triangulations*which preserve the Heawood property. ... We consider finite*triangulations*of*surfaces*with*signs*attached to the faces. ... INTRODUCTION Let G=(V, E) be a*triangulation*of a closed*surface*S. ...##
###
Extending triangulations of the 2-sphere to the 3-disk preserving a 4-coloring

2012
*
Pacific Journal of Mathematics
*

We prove that any

doi:10.2140/pjm.2012.257.257
fatcat:pmwdjqkoazfapppfvwy6dvs2ee
*triangulation*of a 2-dimensional sphere with a proper strict 4-coloring*on*its vertices can be seen as the boundary of a*triangulation*of a 3-dimensional disk with the same vertices in ... /or divisions of a triangle into*three*triangles (by adding a vertex v inside the triangle and edges joining v to the vertices of the triangle) with the opposite*sign*(*move*II).*move*I: + + ←→ - -*move*...*on*their*surface*, and (5) gluing two*triangulated*cones of 2-disks along two adjacent shared triangles*on*their*surface*. ...##
###
Extending triangulations of the 2-sphere to the 3-disk preserving a 4-coloring
[article]

2011
*
arXiv
*
pre-print

In this paper we prove that any

arXiv:1101.5537v2
fatcat:4qpsvo6hbbdjlhijwsm6oot2u4
*triangulation*of a 2-dimensional sphere with a strict 4-coloring*on*its vertices can seen as the boundary of a*triangulation*of a 3-dimensional disk with the same vertices ... of*signed*diagonal flips (*move*I) and/or divisions of a triangle into*three*triangles (by adding a vertex v inside the triangle and edges joining v to the vertices of the triangle) with opposite*signs*... a shared triangle*on*their*surface*, and 5) glueing two*triangulated*cones of 2-disks along two adjacent shared triangles*on*their*surface*. ...##
###
Veering triangulations admit strict angle structures

2011
*
Geometry and Topology
*

Agol recently introduced the concept of a veering taut

doi:10.2140/gt.2011.15.2073
fatcat:gxlpwy5ofzg7jejms4q6n2bbyy
*triangulation*, which is a taut*triangulation*with some extra combinatorial structure. ... We define the weaker notion of a "veering*triangulation*" and use it to show that all veering*triangulations*admit strict angle structures. ... Normal*surfaces*and angle structures A normal*surface*in a*triangulation*T of M is a*surface*that intersects each tetrahedron in a collection of normal triangles and normal quadrilaterals (quads) as shown ...##
###
State sum construction of two-dimensional topological quantum field theories on spin surfaces
[article]

2015
*
arXiv
*
pre-print

The behaviour of this data under Pachner

arXiv:1402.2839v2
fatcat:73t3tkvrzvh67jtdiee67mlrha
*moves*is then used to define a state sum topological field theory*on*spin*surfaces*. ... Given a*triangulation*of an oriented*surface*, a spin structure is encoded by assigning to each triangle a preferred edge, and to each edge an orientation and a*sign*, subject to certain admissibility conditions ... A 2d-Pachner*move**on*a complex C changes at most*three*adjacent triangles. ...##
###
Combined signed distance calculation algorithm for numerical simulation of physical processes and visualization of solid bodies movement

Комбинированный алгоритм вычисления расстояния со знаком для задач численного моделирования физических процессов и визуализации движения твердых тел

2020
*
Scientific Visualization
*

Комбинированный алгоритм вычисления расстояния со знаком для задач численного моделирования физических процессов и визуализации движения твердых тел

The article deals with the problem of initializing the field of the

doi:10.26583/sv.12.5.08
fatcat:5ppeaeax5vflpfirilbztx6yra
*signed*distance function to the*surface*of a*moving*solid body of arbitrary shape. ... The idea is to interpolate the function over the cells of an adaptive grid with local switching to find the distance to*surface**triangulation*. ...*Signed*distance to*triangulation*Spatial*triangulation*is*one*of the main approaches for body boundaries discretization. ...##
###
Freezing a fluid random surface

1993
*
Physical Review D, Particles and fields
*

Such a term thus provides a way of interpolating between dynamically

doi:10.1103/physrevd.48.5025
pmid:10016160
fatcat:xtdb3yg7fbcjphhbdex7bshcae
*triangulated*(ie fluid) and crystalline random*surfaces*. ... We investigate a dynamically*triangulated*random*surface*action that consists of a gaussian term plus the modulus of the intrinsic scalar curvature. ... Even*on*these larger*surfaces*S f reeze is most effective at freezing out the flip*moves**on*the*surface*, which reassures us that we are not seeing a finite size effect. ...##
###
Taut ideal triangulations of 3–manifolds

2000
*
Geometry and Topology
*

A taut ideal

doi:10.2140/gt.2000.4.369
fatcat:nbqzbe2zgbdihduvuamcccp2k4
*triangulation*of a 3-manifold is a topological ideal*triangulation*with extra combinatorial structure: a choice of transverse orientation*on*each ideal 2-simplex, satisfying two simple conditions ... For example, by studying normal*surfaces*in taut ideal*triangulations*, we give a new proof of Gabai's result that the singular genus of a knot in the 3-sphere is equal to its genus. ... The evaluation of the cohomology class e*on*the oriented*surface*F is equal to the number of saddle singularities, counted with*sign*, the*sign*depending*on*whether the transverse orientations of F and ...##
###
The 3D Ising model represented as random surfaces

1993
*
Physics Letters B
*

We consider a random

doi:10.1016/0370-2693(93)91440-x
fatcat:qjgxommvhnemhf4pr7l3iq7r64
*surface*representation of the*three*-dimensional Ising model.The model exhibit scaling behaviour and a new critical index which relates _string for the bosonic string to the exponent ... From this point of view it seems reasonable to use*triangulated*piecewise linear*surfaces*immersed in*three*dimensions as our statistical ensemble of*surfaces*. ... standard*moves*. ...##
###
Survey of Surface Reconstruction Algorithms

2014
*
Journal of Signal and Information Processing
*

In this paper, we discuss some computational geometry preliminaries, and then

doi:10.4236/jsip.2014.53009
fatcat:effryesmyzcvfony4oeoid5pvi
*move**on*to a summary of some different techniques used to address the*surface*reconstruction problem. ... To date, the primary application of*surface*reconstruction algorithms has been in computer graphics, where physical models are digitized in*three*dimensions with laser range scanners or mechanical digitizing ...*three*points*on*P, or those with exactly two faces, five edges and four points*on*P." ...##
###
Convex contouring of volumetric data

2003
*
The Visual Computer
*

Unlike Marching Cubes or other cell-based algorithms, the proposed polygonization generates convex negative space inside individual cells, enabling fast collision detection

doi:10.1007/s00371-003-0216-0
fatcat:ocwagabblnfmlm5m3jghnn67ua
*on*the*triangulated*isosurface ... The algorithm is driven by an automatically constructed look-up table that stores compact decision trees by*sign*configurations. ... Note that the*three*vertices of the triangle can*move*only along*three*fixed cell edges, this half-space is always contained in the union of the halfspaces formed when the*three*vertices are at the ends ...##
###
Geometric torsions and invariants of manifolds with a triangulated boundary

2009
*
Theoretical and mathematical physics
*

We use geometric torsions to construct invariants for a manifold with a

doi:10.1007/s11232-009-0006-6
fatcat:k2erhhwzrjcjnkr5b2zkauvfzi
*triangulated*boundary. ... These invariants can be naturally united in a vector, and a change of the boundary*triangulation*corresponds to a linear transformation of this vector. ... Consider a chain of Pachner*moves*transforming the old boundary*triangulation*into the new*one*. ...##
###
Smooth random surfaces from tight immersions?

1994
*
Physical Review D, Particles and fields
*

We investigate actions for dynamically

doi:10.1103/physrevd.49.4139
pmid:10017419
fatcat:aq76pwxi2vhi7ax6z3geiuvrqa
*triangulated*random*surfaces*that consist of a gaussian or area term plus the modulus of the gaussian curvature and compare their behavior with both gaussian plus ...*triangulations*T means that we have, in effect, a fluid*surface*. ... To get the equivalent of 1 2π M |K|dS ≥ 4 − χ(M ) (7) with the equality holding when the*surface*is imbedded as a convex*surface*in*three*dimensional space. ...##
###
Automatic reconstruction of surfaces and scalar fields from 3D scans

1995
*
Proceedings of the 22nd annual conference on Computer graphics and interactive techniques - SIGGRAPH '95
*

The simplicity and efficiency of our approach is based

doi:10.1145/218380.218424
dblp:conf/siggraph/BajajBX95
fatcat:qwcewxvljnefto7k276mofhnym
*on*several novel uses of appropriate sub-structures (alpha shapes) of a*three*-dimensional Delaunay*Triangulation*, its dual the*three*-dimensional Voronoi ... A possible application is the rapid computer model reconstruction of an existing part or prototype from a*three*dimensional (3D) points scan of its*surface*. ... Such a tetrahedralization is called a (3D) Delaunay*triangulation*and, under non degeneracy assumptions (no*three*points*on*a line, etc.) it is unique. ...##
###
A new combinatorial class of 3-manifold triangulations
[article]

2015
*
arXiv
*
pre-print

As an application, we obtain strong restrictions

arXiv:1312.5087v2
fatcat:vg36w7plkfg63fgb3ehjc7k4ly
*on*the topology of a 3-manifold from the existence of non-smooth maxima of the volume function*on*the space of circle-valued angle structures. ... We define a new combinatorial class of*triangulations*of closed 3-manifolds, satisfying a weak version of 0-efficiency combined with a weak version of minimality, and study them using twisted squares. ... An example is given by the 4 tetrahedron*triangulation*of S 3 defined by the following face pairings: can be simplified to a 1-tetrahedron*triangulation*of S 3 via a sequence of*three*Pachner*moves*. ...
« Previous

*Showing results 1 — 15 out of 29,928 results*