Volume Quantization with Flexible Singularities for Hexahedral Meshing
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley +1 more source
Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev +14 more
wiley +1 more source
Reduction and continuation theorems for Brouwer degree and applications to nonlinear difference equations [PDF]
The aim of this note is to describe the continuation theorem of [J. Mawhin, Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J.
Jean Mawhin
doaj
Establishing Shape Correspondences: A Survey
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley +1 more source
Fixed points, intersection theorems, variational inequalities, and equilibrium theorems
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi-equilibrium theorems.
Sehie Park
doaj +1 more source
Embedding Optimization of Layouts via Distortion Minimization
Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
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Individualized Pathfinding in Rugged Open Terrains Using Semantic Navigation Meshes
We introduce semantic navigation meshes for complex outdoor terrains, partitioning space into regions with coherent semantic properties like slope or vegetation density. The resulting graphs enable efficient pathfinding with agent‐specific, parameterized cost functions without precomputation, accelerating search while maintaining path quality close to ...
C. Creus, N. Pelechano, O. Argudo
wiley +1 more source
SharpEdge: Edge Feature Surface Reconstruction From Space Curves
SharpEdge reconstructs surfaces with sharp features from sparse 3D curve networks. By estimating dual normals along curves, our method preserves ridges and corners while producing high‐quality meshes. Abstract Reconstructing high‐quality surfaces from sparse 3D space curves remains challenging, particularly when sharp feature edges are involved ...
X. Yu, A. Sheffer, N. Carr, Y. Gingold
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The Levi problem in non-locally convex seperable topological vector spaces.
The author continues his study of pseudoconvexity in a nonlocally convex space setting. Following, \textit{L. Waelbroeck} [Topological vector spaces and algebras, Lect. Notes Math. 230 (1971; Zbl 0225.46001)], let \(E\) be an \(Lps\), i.e. a locally pseudoconvex topological vector space.
openaire +3 more sources
Estimating National and Foreign Trade Elasticities Using Generalized Transport Costs
ABSTRACT We introduce the definition of two distinct trade elasticities corresponding to imports from regions located in the same country (national elasticities) and foreign regions located in other countries (foreign elasticities). We resort to a three‐tier nested CES utility structure to derive the corresponding demand gravity equations.
José L. Zofío +3 more
wiley +1 more source

