Results 101 to 110 of about 2,879,792 (277)
Exponential Decay for a System of Equations with Distributed Delays
Journal of Applied Mathematics, 2015 We prove convergence of solutions to zero in an exponential manner for a system of ordinary differential equations. The feature of this work is that it deals with nonlinear non-Lipschitz and unbounded distributed delay terms involving non-Lipschitz and ...
Nasser-Eddine Tatar
doaj +1 more source
Medial Axis Aware Learning of Signed Distance Functions
Computer Graphics Forum, EarlyView.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
Classification of Lipschitz Derivatives in Terms of Semicontinuity and the Baire Limit Functions
Annales Mathematicae SilesianaeWe introduce the generalized notion of semicontinuity of a function defined on a topological space and derive the useful classification of the so-called Lipschitz derivatives of functions defined on a metric space.
Maslyuchenko Oleksandr V. +1 more
doaj +1 more source
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
Isometries on differentiable lipschitz functions
, 2019 We give a characterization of surjective isometries on spaces of real-valued differentiable Lipschitz functions on [0,1]. We also show that every compact composition operator in the space of real-valued differentiable Lipschitz functions on [0,1] must be
Ya-Shu Wang
core
Bandlimited Lipschitz functions [PDF]
, 2014 We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a geometrical description of interpolating and sampling sequences for this space.
Ortega Cerdà, Joaquim +1 more
core +1 more source
Compactly supported detail field for high quality neural implicit surfaces
Computer Graphics Forum, EarlyView.Abstract Neural implicit surfaces are a powerful tool for encoding a surface as the zero level set of a neural function. Trained using gradient‐descent based optimizers, these methods however suffer from a low‐frequency bias that prevents them to fit fine details of the surface.
Guillaume Coiffier, Justine Basselin
wiley +1 more source
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Computer Graphics Forum, EarlyView.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
Strictly Conservative Neural Distance Fields
Computer Graphics Forum, EarlyView.Abstract We propose a first method to generate neural unsigned or signed distance fields (SDFs) that are guaranteed to be conservative with respect to a given 3D shape. This means the true distance is never overestimated and the zero‐level set is a bounding volume for the shape. The method makes use of neural network architectures that ensure Lipschitz
I. Ludwig, M. Campen
wiley +1 more source
Lipschitz functions of continuous functions [PDF]
Pacific Journal of Mathematics, 1953 Marx, Imanuel, Piranian, George
openaire +3 more sources