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ABSTRACT.IN  THIS  RESEARCH  AN  APPROACH  TO  VOLUMETRIC   DETERMINATION  OF CMMS,   WHICH   PERMITS INTERPOLATION  BETWEEN MEASURED  POINTS,  HAS  BEEN  DEVELOPED.   MATHEMATICAL  AND  STATISTICAL TECHNIQUES, SUCH AS RESPONSE SURFACE METHODOLOGY, HAVE BEEN USED TO REPRESENT THE RELATIONSHIP BETWEEN EACH VOLUMETRIC ERROR COMPONENT (EX, EY AND EZ) AT A POINT, WITHIN THE MEASURING VOLUME, AND THE CO-ORDINATES OF THE POINT (XI, YI, ZI). AFTER FITTING MATHEMATICAL MODELS THAT REPRESENT THE VOLUMETRIC ERROR COMPONENTS, IT IS POSSIBLE TO CONSTRUCT THE VOLUMETRIC ERROR MAP OF A CMM UNDER TEST. IN THIS PAPER, THE MEASURED DATA OBTAINED BY APPLYING A  MODULAR SPACE FRAME ON A LK CMM ARE USED TO FIT MATHEMATICAL MODELS THAT REPRESENT EACH VOLUMETRIC ERROR COMPONENT. ALSO, THE PARAMETRIC ERRORS OF THAT MACHINE ARE DERIVED FROM THE VOLUMETRIC ERROR DATA. IN ADDITION, THE GRAPHICAL REPRESENTATION OF THE VOLUMETRIC ERROR DATA AND THAT OF THE PARAMETRIC ERRORS RELATED TO THE LK CMM ARE PRESENTED. 
KEYWORDS  RESPONSE SURFACE, CO-ORDINATE MEASURING MACHINES
 
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