Results 61 to 70 of about 60,017 (247)

Edge‐Based Discretizations on Triangulations in Any Dimension, With Special Attention to Four‐Dimensional Space

International Journal for Numerical Methods in Fluids, EarlyView.
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, David M. Williams, Hiroaki Nishikawa   +2 more
wiley   +1 more source

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

Geometric algebra, conformal geometry and the common curves problem [PDF]

, 2017
This bachelor’s thesis gives a thorough introduction to geometric algebra (GA), an overview of conformal geometric algebra (CGA) and an application to the processing of single particle data from cryo-electron microscopy (cryo-EM).
Riedel Gårding, Elias
core  

Ortogonal Approach for Haptic Rendering Algorithm based in Conformal Geometric Algebra [PDF]

, 2023
This work presents a novel method for haptic rendering contact force and surface properties for virtual objects using the Conformal Geometric Algebra orthogonal decomposition approach.
A. Portilla-Flores, Edgar, Sep?lveda-Cervantes, Gabriel   +1 more
core   +2 more sources

T‐800: An 800 Hz Data Glove for Precise Hand Gesture Tracking

SmartBot, EarlyView.
Hand motion capture provides critical insights into human dexterity and facilitates advancements in robotic manipulation, yet existing systems are limited by a trade‐off between temporal resolution and visual occlusion. Here, the authors present T‐800, a high‐bandwidth data glove achieving synchronized full‐hand motion capturing at 800 Hz.
Haoyang Luo, Zihang Zhao, Leiyao Cui, Saiyao Zhang, Liu Yang, Zhi Han, Xiyuan Tang, Yixin Zhu   +7 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  

White light emitting molecular logic gates

Smart Molecules, EarlyView.
White light emitting smart molecules with Boolean logic computing ability are surveyed. Abstract White light emitting (WLE) materials are of considerable interest with commercial and societal applications in video displays and lighting devices. A characteristic property of WLE materials is the luminescence profile spanning from 380 to 700 nm.
Davide Benedetto Tiz, Massimo Catania, David C. Magri   +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  

Calculation for Multidimensional Topological Relations in 3D Cadastre Based on Geometric Algebra

ISPRS International Journal of Geo-Information, 2019
Maintaining topological consistency is a crucial issue for 3D cadastral modeling as this helps to represent the cadastral boundary clearly and accurately.
Zhifeng Shi, Di Hu, Pengcheng Yin, Chun Wang, Taisheng Chen, Jiyi Zhang   +5 more
doaj   +1 more source

Creating a Masterpiece. The Road to (and Beyond) Woodward and Hoffmann's 1969 Angewandte Chemie Treatise

The Chemical Record, EarlyView.
This publication describes how R. B. Woodward and Roald Hoffmann crafted their masterpiece publications. Illustrations include Woodward's first draft of the famous “Violations There are none. Nor can violations be expected of so fundamental a principle of maximum bonding.” Original but discarded text shows the stepwise paths toward the W‐H masterpieces.
Jeffrey I. Seeman
wiley   +1 more source