3D Navigational Path Planning

Robotica ◽  
1990 ◽  
Vol 8 (3) ◽  
pp. 195-205 ◽  
Author(s):  
T.M. Rao ◽  
Ronald C. Arkin
Keyword(s):  
Path Planning ◽  
Mobile Robot ◽  
Recent Literature ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Polyhedral Objects ◽  
3D Surfaces ◽  
Three Dimensional Space

SUMMARYThe problem of path planning for a mobile robot has been studied extensively in recent literature. Much of the work in this area is devoted to the study of path planning for an earth-bound robot in two dimensions. In this paper, we explore the problem for a robot that can fly in three dimensional space or crawl on 3D surfaces or use a combination of both. We assume that the obstacles can be modeled as polyhedral objects.

Scanning Path Planning in Laser Bending of Tube Based on Curvature

2011 ◽  
Vol 264-265 ◽  
pp. 6-11
Author(s):  
Xu Yue Wang ◽  
Jun Wang ◽  
L.J. Wang ◽  
W.J. Xu ◽  
D.M. Guo
Keyword(s):  
Path Planning ◽  
Extreme Point ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Laser Bending ◽  
Scanning Path ◽  
Scanning Path Planning ◽  
Three Dimensional Space

A method is presented based on geometric-curvature characteristics in which a scanning path planning for laser bending of a straight tube into a curve tube in a two- and three-dimensional space. In a two-dimensional (plane) bending, the steel tube is divided into several segments according to the extreme point and inflection point of the desired shape of the tube, taking the extreme point as the initial place of the path planning, using different scanning space for every segment in order to identify the scanning paths. For a tube bending in a three-dimensional space, a projection decomposition method is used, where the three-dimensional is decomposed into two two-dimensions, and respective scanning path planning and process parameters are thus acquired. By combining the data in the two-dimensional planes, the three-dimensional scanning path plan was obtained. Finally, an experimental verification is carried out to bend straight tubes into a two-dimensional sinusoidal and a three-dimensional helical coil-shaped tube. The results show that the proposed method of scanning path planning is effective and feasible.

scholarly journals Improved Bat Algorithm for UAV Path Planning in Three-Dimensional Space

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 20100-20116
Author(s):  
Xianjin Zhou ◽  
Fei Gao ◽  
Xi Fang ◽  
Zehong Lan
Keyword(s):  
Path Planning ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Bat Algorithm ◽  
Three Dimensional Space

Spatial phenomenology requires potential illumination

2003 ◽  
Vol 26 (4) ◽  
pp. 425-426
Author(s):  
James A. Schirillo
Keyword(s):  
Visual System ◽  
Spatial Model ◽  
Dimensional Space ◽  
Color Constancy ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Three Dimensional Space

Collapsing three-dimensional space into two violates Lehar's “volumetric mapping” constraint and can cause the visual system to construct illusory transparent regions to replace voxels that would have contained illumination. This may underlie why color constancy is worse in two dimensions, and argues for Lehar to revise his phenomenal spatial model by putting “potential illumination” in empty space.

Collision avoidance for mobile robots based on artificial potential field and obstacle envelope modelling

2016 ◽  
Vol 36 (3) ◽  
pp. 318-332 ◽  
Author(s):  
Zhenyu Wu ◽  
Guang Hu ◽  
Lin Feng ◽  
Jiping Wu ◽  
Shenglan Liu
Keyword(s):  
Mobile Robot ◽  
Collision Avoidance ◽  
Potential Field ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Artificial Potential Field ◽  
Content Type ◽  
Negative Pole ◽  
Avoidance Problem ◽  
Three Dimensional Space

Purpose This paper aims to investigate the collision avoidance problem for a mobile robot by constructing an artificial potential field (APF) based on geometrically modelling the obstacles with a new method named the obstacle envelope modelling (OEM). Design/methodology/approach The obstacles of arbitrary shapes are enveloped in OEM using the primitive, which is an ellipse in a two-dimensional plane or an ellipsoid in a three-dimensional space. As the surface details of obstacles are neglected elegantly in OEM, the workspace of a mobile robot is made simpler so as to increase the capability of APF in a clustered environment. Findings Further, a dipole is applied to the construction of APF produced by each obstacle, among which the positive pole pushes the robot away and the negative pole pulls the robot close. Originality/value As a whole, the dipole leads the robot to make a derivation around the obstacle smoothly, which greatly reduces the local minima and trajectory oscillations. Computer simulations are conducted to demonstrate the effectiveness of the proposed approach.

Young Children's Painting of the Sky and the Ground

1990 ◽  
Vol 13 (1) ◽  
pp. 49-65 ◽  
Author(s):  
Vicky Lewis
Keyword(s):  
Young Children ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Air Gap ◽  
Age Range ◽  
Three Dimensional Space

Young children often leave a gap between the sky and the horizon in their drawings and paintings. Study 1 examined the landscape paintings of a group of 45 7-10-year-old children and found the children leaving an air gap to be significantly younger than those painting the sky to the horizon. In addition the omission of the air gap was associated with the use of devices to represent three-dimensional space in two dimensions. In Study 2 a group of 7-8-year old chldren painted landscapes on two occasions separated by 7-7.5 months. This study suggested that there are a series of stages between leaving a gap and painting the sky to meet the horizon. It is concluded that painting the sky to meet the horizon may be one of several strategies for representing three-dimensional space, which develops over the age range studied.

Human path navigation in a three-dimensional world

2013 ◽  
Vol 36 (5) ◽  
pp. 544-545 ◽  
Author(s):  
Michael Barnett-Cowan ◽  
Heinrich H. Bülthoff
Keyword(s):  
Path Integration ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensions ◽  
Neural Representation ◽  
Head Posture ◽  
Computational Load ◽  
Path Navigation ◽  
Upright Head ◽  
Three Dimensional Space

AbstractJeffery et al. propose a non-uniform representation of three-dimensional space during navigation. Fittingly, we recently revealed asymmetries between horizontal and vertical path integration in humans. We agree that representing navigation in more than two dimensions increases computational load and suggest that tendencies to maintain upright head posture may help constrain computational processing, while distorting neural representation of three-dimensional navigation.

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