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Zeitschrift für anorganische und allgemeine Chemie, EarlyView.
The mixed anion compound Sr2[CN2][NH] contains carbodiimide anions alongside imide anions and shares structural similarities with the respective quasi‐binary compounds. The novel mixed anionic compound Sr2[CN2][NH] crystallizes as colorless transparent platelets in the orthorhombic space group Pnma.
Robert U. Stelzer, Guowei Sun, Rainer Niewa +2 more
wiley +1 more source

Contouring Signed Distance Fields by Approximating Gradients

Computer Graphics Forum, EarlyView.
Abstract Signed distance fields are often represented by discrete samples (e.g., on a grid). Recovering the contour implicitly represented by the distance samples requires an approximation algorithm. Several recent approaches have shown that exploiting the information carried in each distance sample by explicitly constructing a surface point gives ...
M. Kohlbrenner, M. Alexa
wiley +1 more source

Circles of Confidence for Multi‐Label Geometry Completion

Computer Graphics Forum, EarlyView.
Abstract Inside–outside classification is widely used for geometry processing tasks such as surface reconstruction, geometry completion, and calculating signed distance fields. We introduce a new integral formulation of this problem, which assigns confidence scores that points are inside or outside, given incomplete boundary geometry.
Z. Wei +4 more
wiley +1 more source

Hyperbolic manifolds with polyhedral boundary

, 2001
Let $(M, \partial M)$ be a compact 3-manifold with boundary which admits a complete, convex co-compact hyperbolic metric. For each hyperbolic metric $g$ on $M$ such that $\dr M$ is smooth and strictly convex, the induced metric on $\dr M$ has curvature $K>-1$, and each such metric on $\dr M$ is obtained for a unique choice of $g$.
openaire +2 more sources

Hyperbolic 3-manifolds with boundary of polyhedral type

, 2022
Let $M$ be a compact orientable 3-manifold with hyperbolizable interior and non-empty boundary such that all boundary components have genii at least 2. We study an Alexandrov-Weyl-type problem for convex hyperbolic cone-metrics on $\partial M$. We consider a class of hyperbolic metrics on M with convex boundary, which we call bent metrics, and which ...
openaire +2 more sources

A local property of polyhedral maps on compact two-dimensional manifolds

Discrete Mathematics, 2000
The authors show that, for any $k$, each polyhedral map $G$ on a compact connected surface with Euler characteristic $\chi$ either contains a path on $k$ vertices such that each vertex on the path has degree at most $k\lfloor (5+\sqrt{49-24\chi})/2\rfloor$, or it contains no path on $k$ vertices at all. Remarkably, no analogous result holds
Stanislav Jendrol', Heinz-Jürgen Voss
openaire +1 more source

Subgroup separability, knot groups, and graph manifolds

, 2001
This paper answers a question of Burns, Karrass and Solitar by giving examples of knot and link groups which are not subgroup-separable. For instance, it is shown that the fundamental group of the square knot complement is not subgroup separable.
Wise, Daniel T., Niblo, Graham A.
core

CR submanifolds in Kaehler and nearly Kaehler manifolds [PDF]

, 2004
A review of the study of CR, submanifolds within Kaehler and nearly Kaehler manifolds, and the properties of such manifolds with respect submanifold theory in differential geometry.
Gregg, Matthew Thomas
core

Progressive Convex Hull Simplification

Computer Graphics Forum, EarlyView.
Abstract Convex hulls are useful as tight bounding proxies for a variety of tasks including collision detection, ray intersection, and distance computation. Unfortunately, the complexity of polyhedral convex hulls grows linearly with their input. We consider the problem of conservatively simplifying a convex hull to a specified number of half‐spaces ...
Alec Jacobson
wiley +1 more source

Meshing Unsigned Distance Fields with Regular Triangulations

Computer Graphics Forum, EarlyView.
Abstract Unsigned distance fields (UDF) are a versatile, implicit representation of geometry. They can represent surfaces that are not bounding a solid or contain points or curves that are not manifold, for example several sheets meeting along a common curve. Contouring the implicit representation, i.e. turning it into an explicit one, requires finding
M. Kohlbrenner, M. Alexa
wiley +1 more source