scholarly journals Extended point values of distributions

2020 ◽  
pp. 22-31
Keyword(s):  
2019 ◽  
Vol 56 (24) ◽  
pp. 241503
Author(s):  
汤慧 Tang Hui ◽  
周明全 Zhou Mingquan ◽  
耿国华 Geng Guohua

Author(s):  
Yoshiyuki Matsumoto ◽  
Kimihiro Saito ◽  
Kiyoshi Toyota ◽  
Satoshi Hineno ◽  
Noriaki Nishi

Sensors ◽  
2020 ◽  
Vol 20 (23) ◽  
pp. 6790
Author(s):  
Chi Xu ◽  
Jiale Chen ◽  
Mengyang Yao ◽  
Jun Zhou ◽  
Lijun Zhang ◽  
...  

6DoF object pose estimation is a foundation for many important applications, such as robotic grasping, automatic driving, and so on. However, it is very challenging to estimate 6DoF pose of transparent object which is commonly seen in our daily life, because the optical characteristics of transparent material lead to significant depth error which results in false estimation. To solve this problem, a two-stage approach is proposed to estimate 6DoF pose of transparent object from a single RGB-D image. In the first stage, the influence of the depth error is eliminated by transparent segmentation, surface normal recovering, and RANSAC plane estimation. In the second stage, an extended point-cloud representation is presented to accurately and efficiently estimate object pose. As far as we know, it is the first deep learning based approach which focuses on 6DoF pose estimation of transparent objects from a single RGB-D image. Experimental results show that the proposed approach can effectively estimate 6DoF pose of transparent object, and it out-performs the state-of-the-art baselines by a large margin.


1994 ◽  
Vol 72 (10) ◽  
pp. 1494-1497 ◽  
Author(s):  
Mark Mostoller ◽  
M. F. Chisholm ◽  
Theodore Kaplan

In the classical phase-space of Gibbs, a Riemannian line-element is defined, invariant under extended point transformations and preserving the Gbbsian volume. To make the line-element dimensionally homogeneous, Planck ’s constant h is incorporated in it. For a system consisting of particles, geodesics are investigated; they coincide with classical trajectories in the limit when h tends to zero, and have some interesting simple properties when h is finite.


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