Results 81 to 90 of about 115,369,690 (213)
Abstract Recent advances in AI enable the automatic generation of visualizations directly from textual prompts using agentic workflows. However, visualizations produced via one‐shot generative methods often suffer from insufficient quality, typically requiring a human in the loop to refine the outputs.
Roxana Bujack +4 more
wiley +1 more source
Survey on Visualization of Information Diffusion over Networks
Abstract Information Diffusion (ID) describes how a value (e.g., a pathogen, a rumor, a packet) spreads through an underlying “medium” network of elements (e.g., a social or computer network). Understanding the information diffusion process is essential to predicting trends, controlling misinformation, and enhancing decision‐making as well as ...
T. Baumgartl +8 more
wiley +1 more source
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Abstract We introduce a new extrinsic discretization of tangent vector fields on triangle meshes that is continuous, with bounded derivatives that are continuous almost everywhere, supporting pointwise evaluation and integration of differential operators.
Hongyi Liu +4 more
wiley +1 more source
Birational Geometry of 3-fold Mori Fibre Spaces [PDF]
We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pezzo fibrations over P\(^1\).
Brown, G., Corti, A., Zucconi, F.
core
Progressive Convex Hull Simplification
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
Stacks in derived bornological geometry [PDF]
In this thesis, we describe a higher categorical framework for discussing derived analytic and derived smooth geometry. Analogous to the Toën and Vezzosi model of derived algebraic geometry which uses simplicial commutative rings as its building blocks ...
Savage, Rhiannon
core +1 more source
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Abstract The well‐established As‐Rigid‐As‐Possible (ARAP) energy has various forms. For surface deformation, commonly used energies contain an implicit bending penalty. We present a natural, continuous generalization that incorporates multiple ARAP versions with an implicit, user‐controllable bending penalty.
Ugo Finnendahl, Marc Alexa
wiley +1 more source
On the geometry, topology and approximation of amoebas [PDF]
We investigate multivariate Laurent polynomials f \in \C[\mathbf{z}^{\pm 1}] = \C[z_1^{\pm 1},\ldots,z_n^{\pm 1}] with varieties \mathcal{V}(f) restricted to the algebraic torus (\C^*)^n = (\C \setminus \{0\})^n.
Wolff, Timo de
core
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source
Polarized toric varieties which are birationally equivalent to projective toric bundles are associated to a class of polytopes called Cayley polytopes.
Di Rocco, Sandra,, Sandra Di Rocco
core +1 more source

