Results 71 to 80 of about 814,707 (170)
Rail wear inspection based on computer-aided design model and point cloud data
Advances in Mechanical Engineering, 2018 Railway transportation demands more efficient and accurate rail wear inspection systems to ensure the train operation safety. To obtain continuous three-dimensional data, a structured light rail wear inspection system is developed in this article, and ...
Peng Chen +3 more
doaj +1 more source
Performance of a Mixed Least‐Squares Finite Element Formulation With Application in Poroelasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A mixed least‐squares finite element method (LSFEM), previously proposed for the theory of porous media (TPM), is further investigated in this work. Finite deformation of a fully saturated, incompressible solid–fluid binary system is studied using the LSFEM.
Manu Hegde +3 more
wiley +1 more source
Geometric Computing in Computer Graphics and Robotics using Conformal Geometric Algebra [PDF]
, 2005 In computer graphics and robotics a lot of different mathematical systems like vector algebra, homogenous coordinates, quaternions or dual quaternions are used for different applications.
Hildenbrand, Dietmar
core
3D Cadastral Data Model Based on Conformal Geometry Algebra
ISPRS International Journal of Geo-Information, 2016 Three-dimensional (3D) cadastral data models that are based on Euclidean geometry (EG) are incapable of providing a unified representation of geometry and topological relations for 3D spatial units in a cadastral database. This lack of unification causes
Ji-yi Zhang +5 more
doaj +1 more source
On the Computation of Crack Surface Normals in the Phase‐Field Model of Hydraulic Fracture
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Hydraulic fracturing techniques have been used to extract oil from the Earth's crust and to enhance the efficiency of geothermal systems among other applications. Numerical simulation of hydraulic fracturing is essential for predicting the environmental impact of this method, as well as its efficiency in such applications. In the present work,
Anuj Gupte +2 more
wiley +1 more source
The Geometric Algebra Java Package: Novel Structure Implementation of 5D Geometric Algebra R_<4, 1> for Object Oriented Euclidean Geometry, Space-Time Physics and Object Oriented Computer Algebra [PDF]
, 2005 This paper first briefly reviews the algebraic background of the conformal (homogeneous) model of Euclidean space in Clifford geometric algebra R_ = Cl(4,1), concentrating on the subalgebra structure.
HITZER, Eckhard MS, UTAMA, Ginanjar
core
Advanced Intelligent Discovery, Volume 2, Issue 5, October 2026.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Kinematics Analysis of Industrial Robot Based on Conformal Geometry Algebra
Jixie chuandong, 2023 In order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, Conformal geometric algebra （CGA） was introduced to the construction of kinematics model of industrial robots. In the forward kinematics
Yu Yang +4 more
doaj
International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
Canonical metrics on holomorphic fibre bundles
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract In this article, we completely describe the existence of canonical metrics, known as optimal symplectic connections, on isotrivial Kähler fibrations. In this setting an optimal symplectic connection is induced from a Hermite–Einstein connection on the holomorphic principal bundle of relative automorphisms, and the Hitchin–Kobayashi ...
John Benjamin McCarthy
wiley +1 more source