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Abstract
In conventional computeraided manufacturing techniques, a tool path is sent to the machine tool controller as a sequence of precision points. This means that errors are introduced when the controller interpolates between the points to recover the intended path. For 4 and 5axis machining, a sequence of precision poses (positions and orientations) is needed. The use of geometric algebra in representing poses is discussed. The form of algebra used can represent rigidbody transforms exactly and can interpolate, in a natural way, between two or more poses using spherical linear interpolation. Sequences of poses from freeform surfaces are investigated. Tool motions are generated and compared with tool paths derived from purely positional information. It is found that the motion paths more naturally follow the original surface so that the interpolation errors are smaller.
Original language  English 

Pages (fromto)  406423 
Number of pages  19 
Journal  International Journal of Computer Integrated Manufacturing 
Volume  29 
Issue number  4 
Early online date  5 May 2015 
DOIs  
Publication status  Published  2016 
Keywords
 tool poses
 numerical control
 interpolation
 geometric algebra
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Dive into the research topics of 'Using geometric algebra to represent and interpolate tool poses'. Together they form a unique fingerprint.Projects
 1 Finished

Algebraic Modelling of 5axis Tool Path Motions
Engineering and Physical Sciences Research Council
31/03/14 → 30/03/17
Project: Research council
Profiles

Glen Mullineux
 Department of Mechanical Engineering  Professor Emeritus
Person: Honorary / Visiting Staff