Results 91 to 100 of about 87,152,843 (234)
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Mesh Processing Non‐Meshes via Neural Displacement Fields
Abstract Mesh processing pipelines are mature, but adapting them to newer non‐mesh surface representations—which enable fast rendering with compact file size—requires costly meshing or transmitting bulky meshes, negating their core benefits for streaming applications.
Yuta Noma +4 more
wiley +1 more source
Differentiable Randers‐Finsler Eikonal Solvers
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan +2 more
wiley +1 more source
Finite Difference Approximation for Linear Stochastic Partial Differential Equations with Method of Lines [PDF]
A stochastic partial differential equation, or SPDE, describes the dynamics of a stochastic process defined on a space-time continuum. This paper provides a new method for solving SPDEs based on the method of lines (MOL).
McDonald, Stuart
core
Circles of Confidence for Multi‐Label Geometry Completion
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
Medial Axis Aware Learning of Signed Distance Functions
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier +2 more
wiley +1 more source
ABSTRACT Aim Wolters' classification of pulpitis has been proposed to classify pulpitis into 4 categories (initial, mild, moderate, severe), aiming to guide clinicians to implement the relevant vital endodontic treatment. The main objective of this study was to test the histologic validity and clinical reliability of the Wolters classification ...
Çağla Fatmanur Yılmaz +3 more
wiley +1 more source
Non-local dispersal and bistability [PDF]
The scalar initial value problem [ u_t = ho Du + f(u), ] is a model for dispersal. Here $u$ represents the density at point $x$ of a compact spatial region $Omega in mathbb{R}^n$ and time $t$, and $u(cdot)$ is a function of $t$ with values in some ...
Hutson, V., Grinfeld, M.
core
The Evolution of Interest‐Rate Models: From the Yield Curve to the Swaption Cube
ABSTRACT Interest‐rate modelling is often taught as a catalogue of competing stochastic equations, obscuring why models were created and why modern sell‐side desks use several simultaneously. This survey reorganises the field around five layers of a pricing architecture: curve construction; arbitrage‐free dynamics; volatility‐smile representation ...
Xuan Feng +2 more
wiley +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source

