History of centrifugal and centripetal forces: Difference between revisions

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[[File:Velocity obstacle.svg|thumb|right|The velocity obstacle ''VO''<sub>''AB''</sub> for a robot ''A'', with position '''x'''<sub>''A''</sub>, induced by another robot ''B'', with position '''x'''<sub>''B''</sub> and velocity '''v'''<sub>''B''</sub>.]]
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In [[robotics]] and [[motion planning]], a '''velocity obstacle''', commonly abbreviated '''VO''', is the set of all [[velocity|velocities]] of a [[robot]] that will result in a [[collision]] with another robot at some moment in time, assuming that the other robot maintains its current velocity.<ref name="fiorini98" >{{cite journal
  |author=Fiorini, P.; Shiller, Z.
  |date=July 1998
  |title=Motion planning in dynamic environments using velocity obstacles
  |doi=10.1177/027836499801700706
  |journal=The International Journal of Robotics Research
  |publisher=[[SAGE Publications]]
  |location=[[Thousand Oaks, California|Thousand Oaks, Calif.]]
  |volume=17
  |issue=7
  |pages=760–772
  |issn=0278-3649
}}</ref>  If the robot chooses a velocity inside the velocity obstacle then the two robots will eventually collide, if it chooses a velocity outside the velocity obstacle, such a collision is guaranteed not to occur.<ref name="fiorini98" />
 
This algorithm for robot collision avoidance has been repeatedly rediscovered and published under different names:
in 1989 as a maneuvering-board approach,<ref name="tychonieivich89">{{cite conference
  |author=Tychonievich, L. P.; Zaret, D.; Mantegna, R.; Evans, R.; Muehle, E.; Martin, S.
  |year=1989
  |title=A maneuvering-board approach to path planning with moving obstacles
  |conference=International Joint conference on Artificial Intelligence (IJCAI)
  |pages=1017–1021
}}</ref>
in 1993 it was first introduced as the "velocity obstacle",<ref name="fiorini93">{{cite conference
  |author=Fiorini, P.; Shiller, Z.
  |year=1993
  |title=Motion planning in dynamic environments using the relative velocity paradigm
  |conference=IEEE Conference on Robotics and Automation
  |pages=560–565
}}</ref>
in 1998 as collision cones,<ref name="chakravarthy98">{{cite journal
  |doi=10.1109/3468.709600
  |author=Chakravarthy, A.; Ghose, D.
  |title=Obstacle avoidance in a dynamic environment: A collision cone approach
  |journal=IEEE Transactions on Systems, Man and Cybernetics—Part A: Systems and Humans
  |volume=28
  |issue=5
  |pages=562–574
  |date=September 1998
}}</ref>  
and in 2009 as forbidden velocity maps.<ref name="">{{cite conference
  |author=Damas, B.; Santos-Victor, J.
  |title=Avoiding moving obstacles: the forbidden velocity map
  |conference=IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
  |year=2009
  |pages=4393–4398
}}</ref>
The same algorithm has been used in maritime port navigation since at least 1903.<ref name="miller03">{{cite book
  |author=Miller, F. S.; Everett, A. F.
  |title=Instructions for the Use of Martin’s Mooring Board and Battenberg’s Course Indicator
  |publisher=Authority of the Lords of Commissioners of the Admirality
  |year=1903
}}</ref>
 
The velocity obstacle for a robot <math>A</math> induced by a robot <math>B</math> may be formally written as
 
:<math>
VO_{A|B} = \{ \mathbf{v}\,|\, \exists t > 0 : (\mathbf{v} - \mathbf{v}_B)t \in D(\mathbf{x}_B - \mathbf{x}_A, r_A + r_B) \}
</math>
 
where <math>A</math> has [[position (vector)|position]] <math>\mathbf{x}_A</math> and [[radius]] <math>r_A</math>, and <math>B</math> has position <math>\mathbf{x}_B</math>, radius <math>r_B</math>, and velocity <math>\mathbf{v}_B</math>. The notation <math>D(\mathbf{x}, r)</math> represents a [[disk (mathematics)|disc]] with [[centroid|center]] <math>\mathbf{x}</math> and radius <math>r</math>.
 
Variations include common velocity obstacles (CVO),<ref>{{cite conference
  |author=Abe, Y.; Yoshiki, M.
  |date=November 2001
  |title=Collision avoidance method for multiple autonomous mobile agents by implicit cooperation
  |doi=10.1109/IROS.2001.977147
  |conference=IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 01)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]].
  |location=[[New York City|New York, N.Y.]]
  |pages=1207–1212
}}</ref> finite-time-interval velocity obstacles (FVO),<ref>{{cite conference
  |author=Guy, S. J.; Chhugani, J.; Kim, C.; Satish, N.; Lin, M.; Manocha, D.; Dubey, P.
  |date=August 2009
  |title=ClearPath: Highly parallel collision avoidance for multi-agent simulation
  |doi=10.1145/1599470.1599494
  |conference=ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA 09)
  |publisher=[[Association for Computing Machinery|ACM]].|location=[[New York City|New York, N.Y.]]
  |pages=177–187
}}</ref> [[generalization|generalized]] velocity obstacles (GVO),<ref>{{cite conference
  |author=Wilkie, D.; v.d. Berg, J.; Manocha, D.
  |date=October 2009
  |title=Generalized velocity obstacles
  |doi=10.1109/IROS.2009.5354175
  |conference=IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 09)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]]. |location=[[New York City|New York, N.Y.]]
}}</ref> [[hybrid (biology)|hybrid]] reciprocal velocity obstacles (HRVO),<ref>{{cite conference
  |author=Snape, J.; v.d. Berg, J.; Guy, S. J.; Manocha, D.
  |date=October 2009
  |title=Independent navigation of multiple mobile robots with hybrid reciprocal velocity obstacles
  |url=http://gamma.cs.unc.edu/HRVO/
  |conference=IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 09)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]]  |location=[[New York City|New York, N.Y.]]
}}</ref> [[nonlinear system|nonlinear]] velocity obstacles (NLVO),<ref>{{cite conference
  |author=Large, F.; Sekhavat, S.; Shiller, Z.; Laugier, C.
  |date=December 2002
  |title=Using non-linear velocity obstacles to plan motions in a dynamic environment
  |doi=10.1109/ICARCV.2002.1238513
  |conference=IEEE International Conference on Control, Automation, Robotics and Vision (ICARCV 02)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]]
  |location=[[New York City|New York, N.Y.]]
  |pages=734–739
}}</ref>  reciprocal velocity obstacles (RVO),<ref>{{cite conference
  |last=v.d. Berg  |first=J.
  |last2=Lin  |first2=M.
  |last3=Manocha  |first3=D.
  |date=May 2008
  |title=Reciprocal velocity obstacles for real-time multi-agent navigation
  |doi=10.1109/ROBOT.2008.4543489|conference=IEEE International Conference on Robotics and Automation (ICRA 08)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]]
  |location=[[New York City|New York, N.Y.]]
  |pages=1928–1935
}}</ref> and [[recursion|recursive]] [[probability|probabilistic]] velocity obstacles (PVO).<ref>{{cite conference
  |author=Fulgenzi, C.; Spalanzani, A.; Laugier, C.
  |date=April 2007
  |title=Dynamic obstacle avoidance in uncertain environment combining PVOs and occupancy grid
  |doi=10.1109/ROBOT.2007.363554
  |conference=IEEE International Conference on Robotics and Automation (ICRA 07)
  |publisher=[[Institute of Electrical and Electronics Engineers|IEEE]] |location=[[New York City|New York, N.Y.]]
  |pages=1610–1616
}}</ref>
 
== References ==
{{Reflist|colwidth=30em}}
 
[[Category:Geometric algorithms]]
[[Category:Multi-robot systems]]
[[Category:Robot kinematics]]
 
 
{{robo-stub}}

Revision as of 17:38, 21 February 2014

If you present photography effectively, it helps you look much more properly at the globe around you. This means you can setup your mailing list and auto-responder on your wordpress site and then you can add your subscription form to any other blog, splash page, capture page or any other site you like. Your parishioners and certainly interested audience can come in to you for further information from the group and sometimes even approaching happenings and systems with the church. They found out all the possible information about bringing up your baby and save money at the same time. You can easily customize the titles of the posts in Word - Press blog in a way that only title comes in the new post link and not the date or category of posts.

Thus, it is imperative that you must Hire Word - Press Developers who have the expertise and proficiency in delivering theme integration and customization services. When you write a new post, you'll see a small bar that goes across the text input area. A Wordpress plugin is a software that you can install into your Wordpress site. For more on wordpress backup plugin look at our webpage. They provide many such popular products which you can buy for your baby. That's a total of 180$ for each Wordpress theme if you sell 3 links and keep the designer link for your own website, or 240$ if you sell all links.

Minor and medium sized corporations also have a lot to obtain by shelling out in a very good website. Note: at a first glance WP Mobile Pro themes do not appear to be glamorous or fancy. Use this section to change many formatting elements. The first thing you need to do is to choose the right web hosting plan. After that the developer adds the unordered list for navigations.

A built-in widget which allows you to embed quickly video from popular websites. * Robust CRM to control and connect with your subscribers. A higher percentage of women are marrying at older ages,many are delaying childbearing until their careers are established, the divorce rate is high and many couples remarry and desire their own children. If you choose a blog then people will be able to post articles on your site and people will be able to make comments on your posts (unless you turn comments off). It does take time to come up having a website that gives you the much needed results hence the web developer must be ready to help you along the route.

A sitemap is useful for enabling web spiders and also on rare occasions clients, too, to more easily and navigate your website. I don't want that for my visitors and I'm quite sure they don't either. However, there are a few other Wordpress plugins also for its development which requires adding files in your Wordpress setup. You should stay away from plugins that are full of flaws and bugs. As for performing online business, websites and blogs are the only medium that are available to interact with customers and Word - Press perform this work with the help of cross-blog communication tools, comments and full user registration plug-ins.