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contributor authorDavid M. Tse
contributor authorPierre M. Larochelle
date accessioned2017-05-09T00:02:59Z
date available2017-05-09T00:02:59Z
date copyrightDecember, 2000
date issued2000
identifier issn1050-0472
identifier otherJMDEDB-27678#457_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124051
description abstractIn this paper we present a novel method for approximating a finite set of n spatial locations with n spherical orientations. This is accomplished by determining a design sphere and the associated orientations on this design sphere which are nearest the n spatial locations. The design sphere and the orientations on it are optimized such that the sum of the distances between each spatial location and its approximating spherical orientation is minimized. The result is a design sphere and n spherical orientations which best approximate a set of n spatial locations. In addition, we include a modification to the method which enables the designer to require that one of the n desired spatial locations be exactly preserved. This method for approximating spatial locations with spherical orientations is directly applicable to the synthesis of spherical mechanisms for motion generation. Here we demonstrate the utility of the method for motion generation task specification in spherical mechanism design. [S1050-0472(00)00204-X]
publisherThe American Society of Mechanical Engineers (ASME)
titleApproximating Spatial Locations With Spherical Orientations for Spherical Mechanism Design
typeJournal Paper
journal volume122
journal issue4
journal titleJournal of Mechanical Design
identifier doi10.1115/1.1289139
journal fristpage457
journal lastpage463
identifier eissn1528-9001
keywordsDesign
keywordsMechanisms AND Motion
treeJournal of Mechanical Design:;2000:;volume( 122 ):;issue: 004
contenttypeFulltext


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