Results 121 to 130 of about 884,568 (273)
An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function
MathematicsIn this work, our primary focus is on the numerical computation of highly oscillatory integrals involving the Airy function. Specifically, we address integrals of the form ∫0bxαf(x)Ai(−ωx)dx over a finite or semi-infinite interval, where the integrand ...
Guidong Liu, Zhenhua Xu, Bin Li
doaj +1 more source
Internality of Averaged Gaussian Quadrature Rules
, 2023 The averaged and optimal averaged quadrature rules provide a convenient method of approximating the error in the Gauss quadrature. However, they are fully applicable only if their nodes are internal.
Đukić, Dušan +3 more
core
Phong‐Rodrigues Extrinsic Vector‐Field Processing
Computer Graphics Forum, EarlyView.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
Anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense
, 2022 Abstract
Petrovic, Nevena +2 more
openaire +1 more source
Circles of Confidence for Multi‐Label Geometry Completion
Computer Graphics Forum, EarlyView.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
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
On Bending in the As‐Rigid‐As‐Possible Deformation Energy
Computer Graphics Forum, EarlyView.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
Anti-Gaussian quadrature rule for trigonometric polynomials
, 2019 We investigate an anti-Gaussian quadrature rule with maximal trigonometric degree of exactness with respect to an even weight function on [−π, π). Its error is equal in magnitude but of opposite sign to corresponding Gaussian formula.
Petrovic, Nevena +2 more
core +1 more source
Developmental Medicine &Child Neurology, EarlyView.Pediatric paroxysmal non‐epileptic events (PNEs) are frequently misdiagnosed as epilepsy. We systematically reviewed and synthesized 40 studies, including 3123 video‐EEG monitored pediatric patients. Epileptic seizures in infants (1 month–3 years) typically presented as arrest, while in children and adolescents (1 month–21 years) they manifested as ...
Tímea Lőrincz‐Molnár +8 more
wiley +1 more source
Diabetes, Obesity and Metabolism, EarlyView.ABSTRACT Aims Adults with obesity are at increased risk of metabolic dysfunction‐associated steatotic liver disease (MASLD)‐related fibrosis, but the diagnostic performance of non‐invasive tests (NITs) in this population remains uncertain. This meta‐analysis evaluated NITs for detecting significant (≥F2) and advanced (≥F3) fibrosis in adults with ...
Patricia M. Ortega +5 more
wiley +1 more source