Search results for " Geometry."
showing 10 items of 2189 documents
Computing temporal sequences associated with dynamic patterns on the C. elegans connectome
2021
AbstractUnderstanding how the structural connectivity of a network constrains the dynamics it is able to support is a very active and open area of research. We simulated the plausible dynamics resulting from the known C. elegans connectome using a recent model and theoretical analysis that computes the dynamics of neurobiological networks by focusing on how local interactions among connected neurons give rise to the global dynamics in an emergent way, independent of the biophysical or molecular details of the cells themselves. We studied the dynamics which resulted from stimulating a chemosensory neuron (ASEL) in a known feeding circuit, both in isolation and embedded in the full connectome…
An Optimized Architecture for CGA Operations and Its Application to a Simulated Robotic Arm
2022
Conformal geometric algebra (CGA) is a new geometric computation tool that is attracting growing attention in many research fields, such as computer graphics, robotics, and computer vision. Regarding the robotic applications, new approaches based on CGA have been proposed to efficiently solve problems as the inverse kinematics and grasping of a robotic arm. The hardware acceleration of CGA operations is required to meet real-time performance requirements in embedded robotic platforms. In this paper, we present a novel embedded coprocessor for accelerating CGA operations in robotic tasks. Two robotic algorithms, namely, inverse kinematics and grasping of a human-arm-like kinematics chain, ar…
Implementation and evaluation of medical imaging techniques based on conformal geometric algebra
2020
Medical imaging tasks, such as segmentation, 3D modeling, and registration of medical images, involve complex geometric problems, usually solved by standard linear algebra and matrix calculations. In the last few decades, conformal geometric algebra (CGA) has emerged as a new approach to geometric computing that offers a simple and efficient representation of geometric objects and transformations. However, the practical use of CGA-based methods for big data image processing in medical imaging requires fast and efficient implementations of CGA operations to meet both real-time processing constraints and accuracy requirements. The purpose of this study is to present a novel implementation of …
Points massiques, courbes de Bézier quadratiques et coniques : un état de l'art
2014
It is well known quadratic Bézier curves define conics. The use of massic points permits to define a semi-conic in the Euclidean plane. Moreover, from a given quadratic Bézier curve, we can determine the properties of the underlying conic. Moreover, the choice of an adequat non-degenerate indefinite quadratic form permits to see the non-degenerate central conic as an unitary circle.
Ortokeratoloģijas ietekme uz ceturtās kārtas aberācijām.
2020
Maģistra darbs ir uzrakstīts angļu valodā uz 36 lapaspusēm. Tas satur 7 attēlus, 7 formulas, 7 tabulas, 3 grafikus un 38 literatūras atsauces. Darba mērķis bija novērtēt radzenes sagitālā augstuma un leņķa, kā arī ceturtās kārtas aberāciju izmaiņas pēc ortokeratoloģijas lēcu lietošanas. Pētījumā tika analizēti radzenes topogrāfijas dati, iegūti no 30 acīm, trīs mēnešus lietojot ortokeratoloģijas lēcas. Rezultāti neuzrādīja būtiskas izmaiņas ceturtās kārtas aberāciju lielumos. Modificējot ortokeratoloģijas lēcu parametrus, ir iespējams saglabāt labu redzes asumu un skotopisko redzi pēc ortokeratoloģijas lēcu lietošanas.
Points massiques, espace des sphères et « hyperbole »
2015
The use of massic points permits to define a branch of a hyperbola in the Euclidean plane using a Rational Quadratic Bézier Curve. In the space of spheres, a circular cone, a circular cylinder, a torus, a pencil of spheres or a Dupin cyclide is represented by a conic. If the kind of the pencil is Poncelet or if the canal surface is a circular cone, a spindle torus, a spindle or a horned Dupin cyclide, the curve is a circle which is seen as a hyperbole. The limit points of the pencil or the singular points of the Dupin cyclide can be determined using the asymptotes of this circle. In this article, we show that the use of massic points simplifies the modelization of these pencils or these Dup…
Crystal structure of bis{μ2-3-(pyridin-2-yl)-5-[(1,2,4-triazol-1-yl)methyl]-1,2,4-triazolato}bis[aquanitratocopper(II)] dihydrate
2016
The title complex is a centrosymmetric dimer with a copper–copper distance of 4.0408 (3) Å. The Cu ions in the dimer are bridged by two triazole rings and oxygen donor ligands from water molecules and nitrate anions in a distorted octahedral coordination geometry.
Crystal structures of organoplatinum complexes containing alkyleugenoxyacetate and p-chloroaniline
2016
In the title trans-dichloridoplatinum(II) complexes, the central PtII atom is further coordinated by the p-chloroaniline N atom and ethylenic double bond of alkyleugenoxyacetate.
Bis{3,5-di-tert-butyl-N-[(4-dimethylamino)phenyl]salicylaldiminato}cobalt(II)
2017
In the title complex [systematic name: bis(2,4-di-tert-butyl-6-{N-[4-(dimethylamino)phenyl]carboximidoyl}phenolato)cobalt(II)], [Co(C23H31N2O)2], the cobalt(II) atom is coordinated by pairs of O and N atoms in a distorted tetrahedral coordination geometry. The dihedral angles formed by the aromatic rings of the same ligand are 51.99 (11) and 36.58 (9)°. The molecular conformation features weak intramolecular C—H...O hydrogen bonds. In the crystal, inversion-related pairs of complex molecules are linked into dimers by weak C—H...π interactions. The methyl C atoms oftert-butyl groups have rotational disorder, with site occupancies of 0.647 (7) and 0.617 (6) for the major components and 0.353 …
Bis(4,6-di-tert-butyl-2-{N-[4-(diethylamino)phenyl]carboximidoyl}phenolato)cobalt(II)
2017
In the title complex, [Co(C25H35N2O)2], the cobalt(II) atom has a distorted tetrahedral geometry provided by pairs of O and N atoms. The dihedral angles between the benzene rings of the same ligand are 52.39 (9) and 34.96 (9)°. The molecular structure is stabilized by weak intramolecular C—H...O hydrogen bonds. The crystal packing is stabilized mainly by van der Waals forces. The structure contains a solvent-accessible void of 276 Å3which was treated using the SQUEEZE routine fromPLATON[Spek (2015).Acta Cryst.C71, 9–18]. The methyl C atoms of thetert-butyl groups are rotationally disordered, with site occupancies of 0.802 (3) and 0.548 (9) for the major components and 0.198 (3) and 0.452 (9…