Results 1 to 10 of about 1,577,958 (284)
A Clifford Algebraic Approach to Line Geometry [PDF]
Advances in Applied Clifford Algebras, 2014 In this paper we combine methods from projective geometry, Klein's model, and Clifford algebra. We develop a Clifford algebra whose Pin group is a double cover of the group of regular projective transformations. The Clifford algebra we use is constructed as homogeneous model for the five-dimensional real projective space $P^5(\mathbb{R})$ where Klein's
openaire +2 more sources
On transparent embeddings of point-line geometries [PDF]
Journal of Combinatorial Theory, Series A, 2018 We introduce the class of transparent embeddings for a point-line geometry $Γ= ({\mathcal P},{\mathcal L})$ as the class of full projective embeddings $\varepsilon$ of $Γ$ such that the preimage of any projective line fully contained in $\varepsilon({\mathcal P})$ is a line of $Γ$.
Cardinali, Ilaria +2 more
openaire +5 more sources
ESTIMATING TORSION OF DIGITAL CURVES USING 3D IMAGE ANALYSIS
Image Analysis and Stereology, 2016 Curvature and torsion of three-dimensional curves are important quantities in fields like material science or biomedical engineering. Torsion has an exact definition in the continuous domain.
Christoph Blankenburg +2 more
doaj +1 more source
Exploration of mathematical concepts in Batik Truntum Surakarta
InfinityThis research investigates the mathematical concepts embedded within Batik Truntum motifs, including geometry, analysis, arithmetic, and algebra. Employing a qualitative methodology with an ethnographic approach, the study addresses four critical ...
Adi Nurcahyo +3 more
doaj +1 more source
Applications of Conformal Geometric Algebra to Transmission Line Theory
IEEE Access, 2017 In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
doaj +1 more source
A NOTE ON RELATION BETWEEN POINT-LINE DISPLACEMENT AND EQUIFORM TRANSFORMATION
Journal of New Theory, 2015 − The present paper studies the relation between the point-line displacement and theequiform transformation in Euclidean 3-space R3. A point-line can be transformed into another pointline via an equiform transformation.
Esra B. Koç Öztürk +2 more
doaj
Aircraft Pose Estimation Based on Geometry Structure Features and Line Correspondences
Sensors, 2019 A robust and accurate aircraft pose estimation method is proposed in this paper. The aircraft pose reflects the flight status of the aircraft and accurate pose measurement is of great importance in many aerospace applications. This work aims to establish
Xichao Teng +4 more
doaj +1 more source
Application of multi-beam line model based on computational geometry
AIP AdvancesThis study focuses on the application of the multibeam bathymetric system in modern marine surveying, which has significant advantages in ocean engineering, geology exploration, and channel measurement.
Yuting Zhang +3 more
doaj +1 more source
The geometry of determinant line bundles in noncommutative geometry
Journal of Noncommutative Geometry, 2009 This article is concerned with the study of the geometry of determinant line bundles associated to families of spectral triples parametrized by the moduli space of gauge equivalence classes of Hermitian connections on a Hermitian finite projective module. We illustrate our results with some examples that arise in noncommutative geometry.
Chakraborty, P., Varghese, M.
openaire +5 more sources
Single-Sided Magnetic Particle Imaging Device with Field-Free-Line Geometry for in-vivo Imaging Applications. [PDF]
IEEE Trans Magn, 2021 Pagan J +3 more
europepmc +1 more source