BIFURCATION OF PLANE-TO-PLANE MAP-GERMS OF CORANK 2

2014 ◽  
Vol 66 (1) ◽  
pp. 369-391 ◽  
Author(s):  
T. Yoshida ◽  
Y. Kabata ◽  
T. Ohmoto
Keyword(s):  
Plane Map

scholarly journals Incremental 3D Cuboid Modeling with Drift Compensation

Sensors ◽  
2019 ◽  
Vol 19 (1) ◽  
pp. 178 ◽  
Author(s):  
Masashi Mishima ◽  
Hideaki Uchiyama ◽  
Diego Thomas ◽  
Rin-ichiro Taniguchi ◽  
Rafael Roberto ◽  
...  
Keyword(s):  
Augmented Reality ◽  
Point Cloud ◽  
Detection Method ◽  
False Detection ◽  
Cluttered Environments ◽  
Plane Map ◽  
Localization And Mapping ◽  
Cad Models ◽  
Drift Compensation ◽  
Sequential Measurements

This paper presents a framework of incremental 3D cuboid modeling by using the mapping results of an RGB-D camera based simultaneous localization and mapping (SLAM) system. This framework is useful in accurately creating cuboid CAD models from a point cloud in an online manner. While performing the RGB-D SLAM, planes are incrementally reconstructed from a point cloud in each frame to create a plane map. Then, cuboids are detected in the plane map by analyzing the positional relationships between the planes, such as orthogonality, convexity, and proximity. Finally, the position, pose, and size of a cuboid are determined by computing the intersection of three perpendicular planes. To suppress the false detection of the cuboids, the cuboid shapes are incrementally updated with sequential measurements to check the uncertainty of the cuboids. In addition, the drift error of the SLAM is compensated by the registration of the cuboids. As an application of our framework, an augmented reality-based interactive cuboid modeling system was developed. In the evaluation at cluttered environments, the precision and recall of the cuboid detection were investigated, compared with a batch-based cuboid detection method, so that the advantages of our proposed method were clarified.

scholarly journals Recognition of plane-to-plane map-germs

2016 ◽  
Vol 202 ◽  
pp. 216-238 ◽  
Author(s):  
Yutaro Kabata
Keyword(s):  
Plane Map

scholarly journals Slit-Slide-Sew Bijections for Bipartite and Quasibipartite Plane Maps

10.37236/9069 ◽  
2020 ◽  
Vol 27 (3) ◽  
Author(s):  
Jérémie Bettinelli
Keyword(s):  
Point Of View ◽  
Sampling Algorithm ◽  
Plane Map ◽  
Distinguished Vertex ◽  
Counting Formula

We unify and extend previous bijections on plane quadrangulations to bipartite and quasibipartite plane maps. Starting from a bipartite plane map with a distinguished edge and two distinguished corners (in the same face or in two different faces), we build a new plane map with a distinguished vertex and two distinguished half-edges directed toward the vertex. The faces of the new map have the same degree as those of the original map, except at the locations of the distinguished corners, where each receives an extra degree: this is the location of the distinguished half-edges. This bijection provides a sampling algorithm for uniform maps with prescribed face degrees and allows to recover Tutte's famous counting formula for bipartite and quasibipartite plane maps. In addition, we explain how to decompose the previous bijection into two more elementary ones, which each transfer a degree from one face of the map to another face. In particular, these transfer bijections are simpler to manipulate than the previous one and this point of view simplifies the proofs.

On 3‑total Edge Product Cordial Labelling of Octagonal Plane Map

2021 ◽  
Author(s):  
Rizwan Ullah ◽  
Gul Rahman ◽  
Tania Bibi ◽  
Muhammad Numan ◽  
Andrea Semaničová-Fenovčíková
Keyword(s):  
Plane Map

scholarly journals Topological equivalence of finitely determined real analytic plane-to-plane map germs

2011 ◽  
Vol 109 (2) ◽  
pp. 161
Author(s):  
Olav Skutlaberg
Keyword(s):  
Topological Classification ◽  
Topological Equivalence ◽  
Plane Map ◽  
Real Analytic ◽  
Smooth Map ◽  
Analytic Plane

Generic smooth map germs $({\mathsf R}^2,0)\to ({\mathsf R}^2,0)$ are topologically equivalent to cones of mappings $S^1\to S^1$. We carry out a complete topological classification of smooth stable mappings of the circle and show how this classification leads, via the result mentioned above, to a topological classification of finitely determined real analytic map germs $({\mathsf R}^2,0)\to ({\mathsf R}^2,0)$.

scholarly journals AEROSPACE: DIGITAL DEVELOPMENT OF A SMART WING USING INTELLIGENT MATERIALS (SMA)

2021 ◽  
Vol 23 (1) ◽  
pp. 28-36
Author(s):  
T.A. Dzhabrailov ◽  
◽  
I.A. Shchukarev ◽  
A.S. A. Al-Mesri ◽  
A.V. Loshakov ◽  
...  
Keyword(s):  
Power System ◽  
Shape Memory ◽  
Management System ◽  
Intelligent Materials ◽  
Aircraft Systems ◽  
Plane Map ◽  
Natural Interface ◽  
Pipeline Management ◽  
Digital Development

The purpose of this article is to develop a power system using smart tools, such as Shape Memory Spectrum (SMA), to control the shape of the plane. Map the proposed smart wing includes S Springs that are attached to one end of the wing in the windshield profile. The second chain is connected each spring to the valve with the possibility of a cylinder. The upper and lower layers are made to spread the springs up and down. The summer strength is controlled by heat, which is the result of the current display. The smart suite is designed and tested to reflect the purpose of the natural interface. An efficient and effective pipeline management system is provided. Through testing and analyzing the principles, the technology improved and showed great potential for future use. Strategy - the presented system can be applied to other aircraft systems such as wings, fights, roads, and elevators. Parent / Account is a unique emotional sacrifice type. Stored materials are used to propel aircraft flow. This policy applies to wings, bars, riders, and lifters.

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