Results 121 to 130 of about 83,698 (229)

Survey on differential estimators for 3d point clouds

Computer Graphics Forum, EarlyView.
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger, Thibault Lejemble, David Coeurjolly, Loïc Barthe, Nicolas Mellado   +4 more
wiley   +1 more source

Lie triple derivations of triangular algebras

Linear Algebra and its Applications, 2012
Let \(R\) be a 2-torsion free commutative ring with identity element, \(A\) and \(B\) unital \(R\)-algebras, and \(M\) an \(A\)-\(B\) bi-module that is faithful on each side. These define a formal triangular algebra \(T(A,M,B)=T=A\oplus M\oplus B\) as an additive group, with \((a,m,b)\cdot(a',m',b')=(aa',am'+mb',bb')\) the multiplication in \(T\). Note
Xiao, Zhankui, Wei, Feng
openaire   +2 more sources

Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis

Computer Graphics Forum, EarlyView.
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley   +1 more source

Block Triangularization of Algebras of Matrices

Linear Algebra and its Applications, 1980
AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algebra of n × n matrices over a field F. It is shown that there is a similarity transformation reducing the algebra to a block triangular form in which, ateach pair of diagonal places, the blocks either are always equal or may be occupied by any entries from
openaire   +2 more sources

Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy

Computer Graphics Forum, EarlyView.
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley   +1 more source

Generalized Lie derivations on triangular algebras

Linear Algebra and its Applications, 2011
A linear map \(f\) from an algebra \(A\) into an \(A\)-bimodule \(M\) is called a generalized Lie derivation is there exists a map \(d\colon A\to M\) such that \(f(xy-yx)=f(x)y-f(y)x+xd(y)-yd(x)\) for all \(x,y\in A\). The main theorem describes the structure of such maps on algebras satisfying certain technical conditions.
openaire   +2 more sources

Co-rotational 3D shell element using quaternion algebra to account for large rotations: Static and dynamic applications

Forces in Mechanics
This paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj   +1 more source

The Role of Dice in the Emergence of the Probability Calculus

International Statistical Review, EarlyView.
Summary The early development of the probability calculus was clearly influenced by the roll of dice. However, while dice have been cast since time immemorial, documented calculations on the frequency of various dice throws date back only to the mid‐13th century.
David R. Bellhouse, Christian Genest
wiley   +1 more source

Computing abelian subalgebras for linear algebras of upper-triangular matrices from an algorithmic perspective

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, the maximal abelian dimension is algorithmically and computationally studied for the Lie algebra hn, of n×n upper-triangular matrices. More concretely, we define an algorithm to compute abelian subalgebras of hn besides programming its ...
Ceballos Manuel, Núñez Juan, Tenorio Ángel F.   +2 more
doaj   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source