{"_id":"7puizLf3WozuFtRWP","bibbaseid":"pan-jones-evaluationofrotationformalismsinthreedimensionsusingalissajousknot-2014","authorIDs":[],"author_short":["Pan, H.","Jones, B. A."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","title":"Evaluation of rotation formalisms in three dimensions using a Lissajous knot","isbn":"978-1-4799-3866-7","url":"http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6808830","doi":"10.1109/SSD.2014.6808830","abstract":"An evaluation of three dimensional rotation formalisms using a Lissajous knot is given. The optimal parameterization of SO(3) is determined so that robotics attitude system can become more effective. Given a robot's local translational velocity and local angular velocity, numerical integrations along a robot's trajectory using rotation formalisms are performed. Comparing the resulting trajectory with a robot's true trajectory, this paper considers numerical error, integration time and steps as parameterization methods' evaluation criteria.","urldate":"2016-09-01","publisher":"IEEE","author":[{"propositions":[],"lastnames":["Pan"],"firstnames":["Hejia"],"suffixes":[]},{"propositions":[],"lastnames":["Jones"],"firstnames":["Bryan","A."],"suffixes":[]}],"month":"February","year":"2014","keywords":"Quaternions, Rodrigues parameters, Rotation formalisms, Rotational kinematics, mentions sympy","pages":"1–7","bibtex":"@inproceedings{pan_evaluation_2014,\n\ttitle = {Evaluation of rotation formalisms in three dimensions using a {Lissajous} knot},\n\tisbn = {978-1-4799-3866-7},\n\turl = {http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6808830},\n\tdoi = {10.1109/SSD.2014.6808830},\n\tabstract = {An evaluation of three dimensional rotation formalisms using a Lissajous knot is given. The optimal parameterization of SO(3) is determined so that robotics attitude system can become more effective. Given a robot's local translational velocity and local angular velocity, numerical integrations along a robot's trajectory using rotation formalisms are performed. Comparing the resulting trajectory with a robot's true trajectory, this paper considers numerical error, integration time and steps as parameterization methods' evaluation criteria.},\n\turldate = {2016-09-01},\n\tpublisher = {IEEE},\n\tauthor = {Pan, Hejia and Jones, Bryan A.},\n\tmonth = feb,\n\tyear = {2014},\n\tkeywords = {Quaternions, Rodrigues parameters, Rotation formalisms, Rotational kinematics, mentions sympy},\n\tpages = {1--7},\n}\n\n\n\n","author_short":["Pan, H.","Jones, B. A."],"key":"pan_evaluation_2014","id":"pan_evaluation_2014","bibbaseid":"pan-jones-evaluationofrotationformalismsinthreedimensionsusingalissajousknot-2014","role":"author","urls":{"Paper":"http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=6808830"},"keyword":["Quaternions","Rodrigues parameters","Rotation formalisms","Rotational kinematics","mentions sympy"],"metadata":{"authorlinks":{}},"downloads":0},"bibtype":"inproceedings","biburl":"https://bibbase.org/zotero-group/nicoguaro/525293","creationDate":"2020-07-15T19:11:20.710Z","downloads":0,"keywords":["quaternions","rodrigues parameters","rotation formalisms","rotational kinematics","mentions sympy"],"search_terms":["evaluation","rotation","formalisms","three","dimensions","using","lissajous","knot","pan","jones"],"title":"Evaluation of rotation formalisms in three dimensions using a Lissajous knot","year":2014,"dataSources":["YtBDXPDiQEyhyEDZC","fhHfrQgj3AaGp7e9E","qzbMjEJf5d9Lk78vE","45tA9RFoXA9XeH4MM","MeSgs2KDKZo3bEbxH","nSXCrcahhCNfzvXEY","ecatNAsyr4f2iQyGq","tpWeaaCgFjPTYCjg3"]}