Results 91 to 100 of about 3,675 (265)
A Note on Incompressible Vector Fields
, 2023 In this paper, we use incompressible vector fields for characterizing Killing vector fields. We show that on a compact Riemannian manifold, a nontrivial incompressible vector field has a certain lower bound on the integral of the Ricci curvature in the ...
Nasser Bin Turki
core +1 more source
Totally geodesic property of the Hopf vector field
, 2005 We prove that the Hopf vector field is a unique one among geodesic covariantly normal unit vector fields on spheres such that the submanifold generated by the field is totally geodesic in the unit tangent bundle with Sasaki metric. As application, we give a new proof of stability (instability) of the Hopf vector field with respect to volume variation ...
openaire +2 more sources
Embedding Optimization of Layouts via Distortion Minimization
Computer Graphics Forum, EarlyView.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
wiley +1 more source
The sculpture Manifold: a band from a surface, a surface from a band
, 2008 The steel sculpture Manifold consists of an 8 cm wide closed band of stainless steel that winds around in an intricate way, curving and coming very close to itself.
Osinga, HM +2 more
core
CANRIG: Cross‐Attention Neural Face Rigging with Variable Local Control
Computer Graphics Forum, EarlyView.Abstract Facial animation is one of the most labor‐intensive aspects of animation and VFX, as traditional rigging consumes weeks of expert time and forces animators to spend countless hours manipulating hundreds of controls to achieve varied expressions.
Arad Mohammadi +6 more
wiley +1 more source
Active contours with weighted external forces for medical image segmentation [PDF]
Parametric active contours have been widely used for image segmentation. However, high noise levels and weak edges are the most acute issues that hinder their performance, particularly in medical images.
Khadidos, Alaa +2 more
core
Affine connections for 2-osculating vector fields and geodesics
, 1989 Starting with the work of \textit{A. M. Pastore} [ Rend. Accad. Naz. Sci. Detta XL, IV. Ser. 22-23, 135-148 (1972; Zbl 0414.53008); Rend. Mat. Appl., VII. Ser. 1, 177-190 (1981; Zbl 0477.53018)]\ the authors study the relationship between the geodesics with respect to a connection for 2-osculating vector fields and the curves which are projections of ...
Di Terlizzi, L., Verroca, F.
openaire +2 more sources
Geometry‐Aware Alignment and Comparison of Hierarchical Morse Complexes with Applications
Computer Graphics Forum, EarlyView.Abstract Scalar fields derived from 3D X‐ray CT scans of samples undergoing ex situ processes, such as thermal aging, chemical etching, or mechanical stress, pose unique challenges for characterizing similarities and differences across acquisitions. Typically, a sample A (source) is imaged, removed, and subjected to experimental conditions that alter ...
Aniketh Venkat +3 more
wiley +1 more source
On the existence of geodesic vector fields on closed surfaces
Theoretical and Applied MechanicsWe construct an example of a Riemannian metric on the 2-torus such that its universal cover does not admit global Riemann normal coordinates.
openaire +3 more sources
Individualized Pathfinding in Rugged Open Terrains Using Semantic Navigation Meshes
Computer Graphics Forum, EarlyView.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