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
Divergence and Model Adequacy, a Semiparametric Case Study. [PDF]
Broniatowski M, Moutsouka J.
europepmc +1 more source
A practical algorithm for weighted k‐hulls
Abstract The convex hull is a central concept in computational geometry, geometry processing, and generally for summarizing sampled data. Its descriptive power suffers significantly in the presence of noise. The k‐hull, also known as the k‐depth contour in statistics, is the intersection of all half‐spaces that contain all but k data points, i.e. it is
N. Look, H. Meyer, M. Alexa
wiley +1 more source
A Pontryagin class obstruction for purely electric and purely magnetic Weyl curvature tensors. [PDF]
de Kok T.
europepmc +1 more source
Numerical Generation of Mode I Stress Intensity Factors for Narrow Elliptical Cracks in Round Bars
Summary The finite element model can replicate solutions found in the literature. The numerical crack tip singularity is analyzed in detail. Geometric correction factors decrease as the surface crack narrows. The polynomial fitting enables precise reproduction of SIF solutions.
Unai Eibar +2 more
wiley +1 more source
Posterior estimation of longitudinal variance components from nonlongitudinal data using Bayesian Gaussian process model. [PDF]
Arjas A, Leppälä K, Sillanpää MJ.
europepmc +1 more source
A Non‐Parametric Framework for Correlation Functions on Product Metric Spaces
Summary We propose a non‐parametric framework for analysing data defined over products of metric spaces, a versatile class encountered in various fields. This framework accommodates non‐stationarity and seasonality and is applicable to both local and global domains, such as the Earth's surface, as well as domains evolving over linear time or time ...
Pier Giovanni Bissiri +3 more
wiley +1 more source
A Sparse Hierarchical <i>hp</i>-Finite Element Method on Disks and Annuli. [PDF]
Papadopoulos IPA, Olver S.
europepmc +1 more source
Two‐dimensional guillotine cutting problem for large objects with non‐rectangular shapes
Abstract In this paper, we address the two‐dimensional single large object placement problem with guillotine cutting constraints, focusing on non‐rectangular shapes. We consider objects with circular or convex polygonal geometries and study a variant that includes defective regions from which no items can be extracted. Rectangular items are cut using a
Carise E. Schmidt +3 more
wiley +1 more source
On the Optimal File Size of Capacity-Achieving Byzantine-Resistant Private Information Retrieval Schemes. [PDF]
Kruglik S, Kiah HM, Dau SH, Wang H.
europepmc +1 more source

