Traceability for computationally-intensive metrology User manual for
Contents
1. The client has to fill in the following information next page 11 e PROCESS KEY key received in message from section 4 2 e CUSTOMER NAME customer name from TraCIM system registration e SOFTWARE NAME name of software that computed the test results e SOFTWARE VERSION version of software that computed the test results e SOFTWARE REVISION revision of software that computed the test results Further the client has to specify the MPE values for position orientation size and form deviation that should be used for test evaluation User MPE values are subjected to unit millimeter for length and rad for orientation This information is followed by elements that contain the result parameters of the software under test For each test data set the client has to specify a single results element set containing the basic data set id C01 C50 and the geometrical element id LINE 2D CIRCLE 2D PLANE SPHERE CYLINDER lt xml version 1 8 encoding UTF 8 standalone true lt chebyshev chebyshevResultPackage xmlns xsi http www w3 0rg 2001 XMLSchema instance xmlns chebyshevz http tracim ptb de chebyshev test xmlns tracim http tracim ptb de tracim chebyshev processKey PROCESS KEY lt chebyshev processKey gt lt chebyshev customer gt CUSTOMER NAME lt chebyshev customer lt chebyshev softwareName SOFTWARE NAME chebyshev softwareName gt lt chebyshev softwareVersion SOFTWARE VERSION2. 002 30 y 50 0 y 0 1203858530857 z 50 0 z 0 2407717061715 21 Appendix B Underlying computational aims Version 2014 10 24 The input data for the Minimum Zone element fitting is a so called point cloud P P Pa of n E N point coordinates P R k 2 3 for all indices i from the index set The point cloud represents a discrete sample of surficial measurement points from a workpiece that has the shape of a basic geometric element lateral surface in the 3D case or respectively a lateral curvature in the 2D case The elements subject to this appendix are Line 2D Circle 2D Plane Sphere and Cylinder By bEGCR with m N m gt 1 and G we introduce a parameter vector that defines the upper elements in their ideal geometrical shape The dimension m and range of valid parameters G have individual definitions for each geometric element Then for a fixed parameter b each of the ideal shaped geometric elements is implicitly defined by A b v R f v b 0 where f R x R gt R denotes a function that gives the orthogonal distance between an arbitrary point in R and the ideal surface or curvature of the geometric element In general there may not be a parameter vector b that satisfies P C A b due to deviations in form and size of the workpiece in comparison with the underlying ideal geometric element Hence applications in geometrical dimensioning and tolerancing require add
3. Cx Cy z 3 Plane normal n ny nyn S 0 c R Sphere b Cx Cy Cz r R x Ry f Q b ME CI r Center point C lt cx y c R Radius r R4 Cylinder jx Cys Cy Cos Vy Vy Vg r R x S1 0 f Q b IIC CO x vll r x R4 Orthogonal projection of point R data set barycenter on cylinder axis C ce ey cz Axis direction v vs Vy ve S 0 c R Radius r R4 Computation of projected centroids The centroid of the point cloud point data set barycenter is n Y i 1 P SIH 23 Then table 2 gives the evaluation of the projected centroid for several elements Element Computation projected centroid C Line 2D Cylinder C solves P C v 0 Plane Csolves P C x n2 0 Table 2 Rules for projected centroid computation Computation of element form deviation For each geometrical element the form deviation is defined by ef lt 2F b For parameters b from the Minimum Zone best fit 1 this yields form deviation assessment according to requirements from ISO 1101 Appendix B 4 The form deviation describes the width of an area enclosing all points in the point cloud the minimum zone The following geometrical depictions apply for Chebyshev elements Line 2D The Minimum Zone is bounded by two geometrical ideal straight lines with minimum distance that are parallel to the Chebyshev line The orthogo
4. Number of points C37 x 0 0 x 1 0 250 0 0 025 250 y 0 0 y 0 0 z 0 0 z 0 0 C38 x 230 0 x 0 0 50 0 0 005 75 y 310 0 y 1 0 z 260 0 z 0 0 C39 x 250 0 x 0 0 12 5 0 002 216 y 250 0 y 0 0 z 250 0 z 1 0 C40 x 90 0 x 0 7071067811865 20 0 0 01 250 y 110 0 y 0 7071067811865 z 80 0 z 0 0 cal x 90 0 x 0 0 200 0 0 02 112 y 200 0 y 0 7071067811865 z 100 0 z 0 7071067811865 C42 x 240 0 x 0 7071067811865 37 5 0 005 264 y 280 0 y 0 0 z 235 0 z 0 7071067811865 C43 x 60 0 x 0 8479983040051 125 0 0 05 480 y 50 0 y 0 3179993640019 z 80 0 z 0 4239991520025 C44 x 0 0 x 0 5391638660171 92 0 0 015 125 y 0 0 y 0 5391638660171 z 0 0 z 0 6469966392206 C45 x 20 0 x 0 3810003810005 65 0 0 015 455 y 20 0 y 0 8890008890013 z 20 0 z 0 2540002540003 C46 x 300 0 x 0 2407717061715 25 0 0 001 30 y 415 0 y 0 4815434123431 z 320 0 z 0 8427009716003 Next page Cylinder values continued 20 Cylinder values continued from previous page Basic ID Position Orientation Radius Form deviation Number of points C47 x 55 0 x 0 1230914909793 3 25 0 005 40 y 50 0 y 0 9847319278346 z 50 0 z 0 1230914909793 C48 x 50 0 x 0 9630868246861 4 35 0 008 66 y 45 0 y 0 1203858530857 z 45 0 z 0 2407717061715 C49 x 55 0 x 0 1162476387438 5 375 0 005 50 y 50 0 y 0 9299811099505 z 50 0 z 0 3487429162314 c50 x 50 0 x 0 9630868246861 1 65 0
5. System or incorrect order keys the TraCIM server will send an error message Client content and TraCIM system content for retrieving test data are presented in sections 4 1 and 4 2 Error messages are presented in section 4 5 POST reguest for sending test results and obtaining the certificate The URL of an HTTPS connection for a POST reguest in order to send test results for evaluation and get the certificate for Chebyshev testing is https www tracim ptb de tracim api test x PROCESS KEY gt where PROCESS KEY gt has to be replaced by the individual process key that was returned by the TraCIM system at the POST request for test data sets The client will prepare the XML content test result parameters process key software identification to be attached to the POST request and will send it to the TraCIM system The TraCIM System will receive and evaluate the content and generate a test report It states whether the test is passed user results sufficiently accurate or gives a table with an error outline for all elements CO1 C50 according to each parameter In case of a sample test request the test report is not countersigned by PTB seal The data sent to the client contains the test report encoded in XML For the case of an incorrect process key the TraCIM content will be an error message Client content and TraCIM system content for retrieving the test evaluation and PDF report are presented in sections 4 3 and 4 4 Err
6. by the PTB TraCIM Online System For the test a customer will get an XML file with datasets containing points in space for the elements listed above The points are both randomly and systematically distributed on fragments of these elements mainly representing full features with different random and systematic form deviation components A few datasets represent partial features Task of the customer is to evaluate the parameters of the best fit geometric elements regarding the Minimum Zone criterion and send these back to the TraCIM System The TraCIM system automatically compares customer results with its own reference values and sends a report with the test result Evaluation procedures are subject to section 2 To order a test it is necessary to provide a client application for communication with the TraCIM Server Section 3 gives support for the development of a client The XML data schemes used for data exchange are described in section 4 Placing an order requires access to the web shop for buying single tests and test packages web shop future extension use e mail contact until then After successful purchase of a test a customer will get an order key that allows him to request test data from the TraCIM system with his client application In order to check the functionality of his client application a charge free test suite with public sample data including results is provided A registered customer is allowed to request a test with these
7. chebyshev softwareVersion lt chebyshev softwareRev SOFTWARE REVISION chebyshev softwareRev gt chebyshev mpe position 0 0001 chebyshev mpe position chebyshev mpe orientation 0 0000001 chebyshev mpe orientation chebyshev mpe size 0 0001 chebyshev mpe size chebyshev mpe formDeviation 0 00001 chebyshev mpe formDeviation gt lt chebyshev resultPackage gt lt chebyshev results gt lt chebyshev basicID gt C 1 lt chebyshev basicID gt lt chebyshev computationObject LINE 2D chebyshev computationObject lt chebyshev refParameter gt lt chebyshev positionX gt 0 000001 lt chebyshev positionX gt lt chebyshev positionY gt 0 000005 lt chebyshev positionY gt lt chebyshev positionZ gt 0 000000 lt chebyshev positionZ gt lt chebyshev orientationX gt 1 00000000021 lt chebyshev orientationX gt chebyshev orientationY 0 00000000005 chebyshev orientationY chebyshev orientationZ 0 000000000 chebyshev orientationZ lt chebyshev formDeviation 0 0003578 chebyshev formDeviation lt chebyshev refParameter gt lt chebyshev results gt lt chebyshev results gt lt chebyshev basicID gt C37 lt chebyshev basicID gt lt chebyshev computationObject CYLINDER chebyshev computationObject lt chebyshev results gt lt chebyshev resultPackage gt lt chebyshev chebyshevResultPackage gt 12 According to the result parameter list in
8. data sets from the TraCIM system at any time in order to check the correct functioning of his client server communication See section 3 2 on how to request these test data sets Additional support will be charged 1 1 Basic data sets The Chebyshev elements test contains 50 data sets with following basic data set IDs and associated geometric element IDs Table 1 Data Element IDs Data set ID Element ID C01 C08 LINE 2D C09 C16 CIRCLE 2D C17 C26 PLANE C27 C36 SPHERE C37 C50 CYLINDER scientific e format VN Each data set consists of points in 3 dimensional Cartesian space A point is represented by the three coordinates x y z For LINE 2D and CIRCLE 2D the z component of each point is set zero x y O The amount of points per data set varies between 10 and 631 Each point coordinate value is delivered as decimal number with 20 digits and The values refer to the unit mm millimeter All point coordinates are within the value range 500 mm 500 mm Section 42 shows the XML data structure that contains the test data sets 1 subject to future change 2 preliminary newer software version may accept customer defined range values 1 2 Result parameters For each element the following result parameters must be computed by the test customer Table 2 Result parameter list Element ID Par
9. de tracim schema PTBWHZ MATH CHEBYSHEV v 1 test xsd https tracim ptb de tracim schema PTBWHZ MATH CHEBYSHEV vl result xsd 2 https tracim ptb de tracim schema tracim xsd Notes 1 Test data schema 2 Result data schema 3 Report schema 14 It is strongly recommended that a customer in order to test client functions uses the schemata during client development 5 Thetest report The report can be extracted from the string stream 4 4 XML tag tracim reportPDF base64 encoded into a PDF file ready for printing The layout follows the rules for test reports as used in the PTB official header legal statements etc 6 How to get support technical support for client software tracim support ptb de support regarding computational aims tracim support ptb de Provider support contact fees tracim support ptb de 7 Legal and copyright information Copyright for this document PTB The document content is subject to change without notice Version note V1 0 as of February 2014 8 Appendices 15 Appendix A Reference parameter values for example test data sets Version 2014 10 24 Tables a to e are showing reference parameter values for the public test data sets of elements Line 2D Circle 2D Plane Sphere and Cylinder These are decimal numbers up to 10 digits precision Values for position radius and form deviation are subjected to the dimension millimeter The components
10. of Orientation are values in length units no physical dimension a Line 2D Basic ID Position Orientation Form deviation Number of points C01 x 10 0 x 1 0 0 022 260 y 100 0 y 0 0 co2 x 240 0 x 0 0 0 02 631 y 50 0 y 1 0 C03 x 410 0 x 0 7071067811865 0 001 120 y 405 0 y 0 7071067811865 C04 x 130 0 x 0 7071067811865 0 005 50 y 5 0 y 0 7071067811865 C05 x 95 0 x 0 8944271909999 0 002 10 y 103 0 y 0 4472135954999 C06 x 5 0 x 0 4472135954999 0 015 161 y 340 0 y 0 8944271909999 C07 x 300 0 x 0 0995037190209 0 05 80 y 250 0 y 0 9950371902099 cos x 125 0 x 0 9977851578566 0 01 331 y 345 0 y 0 0665190105237 16 b Circle 2D Basic ID Position Radius Form deviation Number of points C09 x 400 0 20 0 0 05 250 y 390 0 C10 x 200 0 200 0 0 022 120 y 180 0 C11 x 250 0 125 0 0 005 260 y 250 0 C12 x 105 0 250 0 0 02 250 y 57 0 C13 x 0 0 50 0 0 005 78 y 305 0 C14 x 280 0 12 0 0 002 216 y 300 0 C15 x 100 0 25 0 0 001 30 y 120 0 C16 x 150 0 65 0 0 01 450 y 50 0 17 c Plane Basic ID Position Orientation Form deviation Number of points C17 x 0 0 0 0 0 075 50 y 0 0 1 0 z 0 0 0 0 C18 x 400 0 1 0 0 001 145 y 400 0 0 0 z 400 0 0 0 C19 x 350 0 0 0 0 01 397 y 0 0 0 0 z 250 0 1 0 C20 x 0 0 0 0 0 005 136 y 2
11. process 403 Test process already closed 403 Test Data already used 404 Unknown order number 422 Unknown request type Consult specific message 422 Process key does not match 422 Customer element is blank 422 Software vendor element is blank 422 Software name element is blank 422 Software version element is blank 422 MPE elements not present You are allowed to set MPE s to zero but the elements have to be present 422 Check your MPEs If you set one MPE you have to set it all 422 Check your MPEs Negative MPE s are not allowed 500 Internal Server error Notes to table 4 gt Column error code these codes are identical with the HTTP error codes As one code can describe more than one reason multiple lines with the same code are present details can be found in the next column error description Column error description a textual explanation of the error reason P For this code a frame message will be generated Sorry but your request could not be interpreted Please check your message or contact the support The system says error description Please note if due to specific reasons the server can not generate a proper XML error message please check the HTML response of the server This can be done i e with programming the client for processing both XML and HTML messages 4 6 TraCIM schemata The XML schemata can be obtained from the following URL s preliminary https tracim ptb
12. specifications for geometrical element algorithm testing in ISO 10360 part 6 1 For computational evaluation of the elements with metrological software different parameterization is possible Depending on the structure of the point cloud problem 1 could have a unique global solution several equivalent global solutions or even no solution For example symmetric data sets may contain equivalent global solutions Moreover for collinear points the fitting of Circle 2D has an invalid solution with finite radius Despite the global solution properties a point cloud could contain additional local solution that are consistent with mathematical solution properties for problem 1 but have a greater value for form deviation than a global solution Hence the application of numerical methods for the element computation requires the application of additional global search strategies in order to find a global solution instead of a local solution For solving problem 1 it is recommended to use numerical methods that are able to Further references for details 1 2 3 4 DIN EN ISO 10360 6 Geometrical Product Specifications GPS Acceptance and reverification tests for coordinate measuring machines CMM Part 6 Estimation of errors in computing Gaussian associated features ISO 10360 6 2001 Cor 1 2007 German version EN ISO 10360 6 2001 AC 2007 G T Anthony B Bittner R Drieschner J Kok et al Chebyshev reference soft
13. 1 0 encoding UTF 8 standalone true tracim tracim xmlns xsi http www w3 org 2001 XMLSchema instance xmlns chebyshev http tracim ptb de chebyshev test xmlns tracim http tracim ptb de tracim lt product gt TEST CLIENT product lt version gt TEST CLIENT VERSION lt version gt lt tracim tracim gt 4 2 Test data Test data returned by the TraCIM system composed according to an XML scheme with three major elements for order identification process identification and the test data sets The order element contains a copy of the order key a date of the creation of the test data and a date for the expiration of the test data deadline for sending test results for evaluation The process element contains the process key associated with the test data reguest The test element contains several point clouds with vector elements that give the x y and z coordinates of the test data For each point cloud the field basicID 10 contains the unique data set id CO1 C50 and the field computationalObject contains the corresponding geometrical element LINE 2D CIRCLE 2D PLANE SPHERE CCYLINDER lt xml version 1 8 encoding UTF 8 standalone true tracim tracim xmlns xsi http wWww w3 0rg 2001 XMLSchema instance xmlns chebyshev http tracim ptb de chebyshev test xmlns tracim http tracim ptb de tracim lt tracim order gt lt tracim key gt ORDER KEY lt tracim key gt lt tracim cre
14. 70 0 0 7071067811865 z 280 0 0 7071067811865 C21 x 310 0 0 7071067811865 0 003 10 y 95 0 0 0 z 210 0 0 7071067811865 C22 x 185 0 0 7071067811865 0 005 20 y 155 0 0 7071067811865 z 10 0 0 0 C23 x 110 0 0 5934424260562 0 022 174 y 10 0 0 6593804733957 z 310 0 0 46156633137705 C24 x 20 0 0 6388765649999 0 05 450 y 15 0 0 5111012519999 z 20 0 0 5749889084999 C25 x 120 0 0 5232045649263 0 09 451 y 130 0 0 5232045649263 z 170 0 0 6726915834767 C26 x 50 0 0 5533715710928 0 025 35 y 60 0 0 6225430174794 z 50 0 0 5533715710928 18 d Sphere Basic ID Position Radius Form deviation Number of points C27 x 280 0 y 300 0 z 220 0 70 0 0 015 144 C28 x 250 0 y 240 0 z 250 0 130 0 0 02 350 C29 x 150 0 y 120 0 z 90 0 25 0 0 005 25 C30 x 150 0 y 150 0 z 110 0 210 0 0 04 182 C31 x 100 0 y 350 0 z 0 0 15 0 0 003 50 C32 x 300 0 y 0 0 z 280 0 20 0 0 02 241 C33 x 90 0 y 90 0 z 0 0 55 0 0 01 55 C34 x 0 0 y 0 0 z 0 0 5 0 0 001 120 C35 x 0 0 y 0 0 z 0 0 260 0 0 05 120 C36 x 280 0 y 200 0 z 300 0 60 0 0 01 210 e Cylinder Basic ID Position Orientation Radius Form deviation
15. Traceability for computationally intensive metrology User manual for Chebyshev algorithm testing Copyright TraCIM e V Certification number 008 Authors Klaus Wendt Ulrich Brandt Ulrich Lunze Daniel Hutzschenreuter Physikalisch Technische Bundesanstalt Braunschweig und Berlin Germany University of Applied Science Zwickau Germany Contact support tracim ptb de WWW www ptb de tracim Change History Date Revision Rationale 2015 02 17 1 0 1 Renaming of chebychev to chebyshev 2 Changed element IDs to capital letters with underlines 3 Changed certificate to test report in sections 4 4 p 9 and 5 4 Set max points to 631 one p 6 former 500 5 Changes in description of user parameters p 7 6 Changed document version in copyright section 7 Added notification on validity of order key at end of section 3 1 p 10 8 Changed certification number from 007 to 008 p 2 9 Added user MPE specification in section 4 3 Please note the Revision consists of a major number dot minor number Work completed regarding major grammar or spelling errors will be marked with a lowercase letter after the revision number Content 1 1 1 1 2 2 3 3 1 3 2 4 1 4 2 4 3 4 4 4 5 o N 9 Introduction H 5 Basic
16. ameter ID Description LINE 2D Position The coordinates of the point on the associated line Orientation The direction cosine values of the line Form deviation The form deviation of the line according to Appendix B ISO 1101 2008 CIRCLE 2D Position The coordinates of the center point of the associated circle Radius The radius of the associated circle Form deviation The form deviation of the circle according to Appendix B ISO 1101 2008 PLANE Position The coordinates of the point on the associated plane Orientation The direction cosine giving the normal vector of the associated plane Form deviation The form deviation of the plane according to Appendix B ISO 1101 2008 SPHERE Position The coordinates of the center point of the associated sphere Radius The radius of the associated sphere Form deviation The form deviation of the sphere according to Appendix B ISO 1101 2008 CYLINDER Position The coordinates of the point on the associated cylinder axis Orientation The direction cosine values of the associated cylinder axis orientation Radius The radius of the associated cylinder lateral surface Form deviation The form deviation of the cylinder according to Appendix B ISO 1101 2008 For all elements the position parameter is a vector in 3 dimensional Cartesian space with components x y and z The values refer to the unit mm millimeter see 1 1 Basic Data Sets remark for point coordinates For LINE 2D and CIRCLE 2D elemen
17. ationDate gt lt tracim creationDate gt lt tracim expiration Date gt lt tracim expirationData gt lt tracim order gt lt tracim process gt lt tracim key gt PROCESS KEY lt tracim key gt lt tracim process gt lt tracim tests xsi type chebyshev chebyshevTestPackage lt chebyshev package gt lt chebyshev testElement gt lt chebyshev basicID gt C 1 lt chebyshev basicID gt lt chebyshev computationObject gt LINE_2D lt chebyshev computationObject gt lt chebyshev pointCloud gt lt chebyshev vectors chebyshev x 44 7893023434000000 chebyshev x lt chebyshev y gt 58 34322222322222200 lt chebyshev y chebyshev z 0 000000000000000000 chebyshev z chebyshev vectors chebyshev vectors chebyshev x 44 7893023434000000 chebyshev x lt chebyshev y gt 58 34322222322222200 lt chebyshev y chebyshev z 0 000000000000000000 chebyshev z gt chebyshev vectors lt chebyshev pointCloud gt lt chebyshev testElement gt lt chebyshev testElement gt lt chebyshev basicID gt C37 lt chebyshev basicID gt lt chebyshev computationObject CYLINDER chebyshev computationObject gt lt chebyshev testElement gt lt chebyshev package gt lt tracim tests gt tracim tracim 4 3 Test results For sending the calculated results of software under test to the TraCIM system the XML scheme below must be used
18. data SOUS na tee sieves ean aste nesi stu cele erts cti ee 6 Result parameters ree oe tee cage dide ecu eet er rn Ue REC vpeli 6 Test result evaluation ueterem e retener e Deos ener EE ip ine 7 Client server communication 8 Development of a client application cet er rn 8 Play data tor client testing eek RS DOR RE EN ERR e ERN REESE 10 XMlLimess ge content e a 10 TEStreGUBST Ss seine iii ee en a E hee 10 Test dataimessage nenne ae RD 10 Test results message rare Re REIR SCORE WR RETE Pe Cu a EROR ROO 11 Test report Ii6ssag6 c esee ar NE ena ea Faro nei bede zone bek a AARETE NEE Eaa 13 TraCIM error messages kanona nnns taet stesse ase ane these se sa s sette esee assu non 14 The TraCIM test certificate ene eene bs 15 HOW to SEU SUD POPE ga cance son ke ee eu 15 Legal and Copyright Information sees Fehler Textmarke nicht definiert Appendices nn RR RERO A t in Hin Peck Eve RC Enos 16 1 Introduction PTBs TraCIM system offers testing of Chebyshev minimization algorithms Minimum zone method for the following basic geometric elements Line 2D Circle 2D Plane Sphere and Cylinder The PTB test was provided within the frame of a project named TraCIM founded by the European Union EMRP project NEW06 TraCIM www ptb de emrp tracim html and is under strict quality control of TraCIM e V Association The test is provided
19. eport PDF In order to create the test report PDF document as PDF file the reportPDF character string can be converted and written to new file with the proper pdf file name extension lt xml version 1 0 encoding UTF 8 standalone true tracim tracim xmlns xsi http www w3 0rg 2001 XMLSchema instance xmlns chebyshevz http tracim ptb de chebyshev test xmlns tracim http tracim ptb de tracim tracim validation tracim passed true tracim passed lt tracim report gt lt tracim report gt lt tracim reportPDF gt JKD5iuDUDO98IHh lt tracim reportPDF gt lt tracim validation gt tracim tracim D base64 encoded 13 4 5 TraCIM Error Messages The following XML code is sent by the server in case of errors where error code and error description are replaced with values according to table 4 after the XML excerpt lt xml version 1 0 encoding UTF 8 standalone true tracim tracim xmlns xsi http www w3 0rg 2001 XMLSchema instance xmlns chebyshevz http tracim ptb de chebyshev test xmlns tracim http tracim ptb de tracim lt tracim error gt lt tracim code gt error code lt tracim code gt lt tracim description gt error description lt tracim description gt lt tracim error gt lt tracim tracim gt Table 4 Error messages error code error description 403 No more tests left for this test
20. itional fitting criteria to provide definitions of associated geometrical elements for the point clouds One of these criteria is the Minimum Zone best fit Its objective is min max f b beG iel fib 1 and fi b f Pi b 22 give the orthogonal distance of the points from the point cloud P to the geometric element with parameters b Problem 1 is referred to as a discreet minimax problem in optimization theory Moreover the objective F b max fi b is the norm of all orthogonal distance values in the maximum norm on the real value vector space R that is commonly known as Chebyshev norm and hence 1 is called Chebyshev fitting too The table below gives formal mathematical definitions for parameter vectors parameter space and orthogonal distance functions Table 1 Geometry parameter and distance function definitions for Minimum Zone elements Line 2D Circle 2D Plane Sphere and Cylinder Element Parameter vectors b Range of Distance function parameters G Circle 2D b Cx Cy r R x R4 f Q b Q cll r Center C Cx Cy R Radius r R4 Line 2D Pr Ce Cy Ve Vy R x S1 0 f b Q C n with T Orthogonal projection of point R n Vy Vx data set barycenter on line C Cy Cy Line direction v vs vy 0 c R Plane b Cx Cy Cz Ny nyn R x S1 0 f Q b Q C n Orthogonal projection of point R data set barycenter on plane T C
21. nal distance of the bounding lines is the associated form deviation The Chebyshev line is the median line between the bounding lines Circle 2D The Minimum Zone is bounded by two geometrical ideal concentric circles with center point coincident with the center point of the Chebyshev circle and minimum radius distance The radius distance is the associated form deviation The Chebyshev circle is the median circle between the bounding circles Plane The Minimum Zone is bounded by two geometrical ideal planes with minimum distance that are parallel to the Chebyshev plane The orthogonal distance of the bounding planes is the form deviation The Chebyshev plane is the median plane between the bounding planes Sphere The Minimum Zone is bounded by two geometrical ideal concentric spheres with center point coincident with the center point of the Chebyshev sphere and minimum radius distance The radius distance is the associated form deviation The Chebyshev sphere is the median sphere between the bounding spheres Cylinder The Minimum Zone is bounded by two geometrical ideal cylinders coaxial to the Chebyshev cylinder and with minimum radius distance The form deviation is the radius distance is the associated form deviation The Chebyshev cylinder is the median cylinder between the bounding cylinders 24 Remarks on properties of the Chebyshev element fitting a b c d The parameter selection in Table 1 is subjected to normative
22. nnection according to the URL the following configurations must be done e Enable output and input operations for the connection e Set the request method POST request comprising input and output e Set connection property content Type to application xml e Set connection property accept to application xml e Set connection property content length to the amount of characters of the content that is send to the TraCIM system Packages for creation and configuration of an HTTPS connection are available for different programming languages such as for examples e Java java net API HttpURLConnection e C C Microsoft C REST SDK Casablanca or similar CH System Net NET 4 5 System Net Http Assembly POST request for obtaining test data sets The URL of an HTTPS connection for POST request in order to obtain Chebyshev test data sets is https tracim ptb de tracim api order lt CHEBY SHEV ORDER KEY gt Y test where lt CHEBYSHEV ORDER KEY gt has to be replaced by the Chebyshev test order key purchased at the TraCIM web shop future extension After creation and configuration of a connection as described above the client application has to send the reguest message When the TraCIM system receives the client message it will start creating test data sets and a unigue process key The TraCIM content is returned to the client For cases that a customer is not properly registered for the TraCIM
23. or messages are presented in section 4 5 9 TraCIM service for testing is limited in time After receiving an order key a customer has a total of 200 days for performing the Chebyshev test After 20 120 and 180 days the TraCIM system will automatically send warning messages to the customer e mail address stating the remaining time for testing When the validity of a test expires a final information message is send to the customer 3 2 Public sample data for client testing Sample data denotes a complete Chebyshev test for backtracking errors within the client application that could put a successful commercial test run on the risk For any registered customer the data is free of charge with unlimited request amount In comparison to a test with commercial test data the certificate returned by the server is not countersigned by PTB as legally valid certificate The sample order key is available for registered customers Please check the website www tracim ptb de or send a mail to tracim support ptb de for further information 4 XML message content 4 1 Test request The XML scheme below shows the complete message for the initial test data request by the client application The client has to specify the fields TEST CLIENT with its proper name and its version in the field TEST CLIENT VERSION Both entries must be UTF 8 formatted character Strings with at least one and a maximum of 20 characters lt xml version
24. section 1 2 a client has to provide the following types of parameter elements e positionX x coordinate of the position parameter e positionY y coordinate of the position parameter e positionZ Z coordinate of the position parameter e orientationX x component of the orientation vector e orientationY y component of the orientation vector e orientationZ z component of the orientation vector e radius radius for CIRCLE 2D SPHERE and CYLINDER e formDeviation form deviation associated with the Chebyshev element Entries for parameters that are not part of the geometrical element parameter specification have not to be written in the scheme in the example above this applies for the radius parameter in the context of LINE 2D result parameters Exceptions are the z coordinate and z component of position and orientation for the two dimensional elements LINE 2D and CIRCLE 2D The client must fill in these with value zero All values that are entered into the scheme must apply with the requirements in section 1 2 In addition these values have to be character strings compatible with UTF 8 format 4 4 Test report After evaluation the TraCIM system returns XML data according to a XML scheme with the validation result It comprises the three elements e Passed true if the software passed the test successful else false e Report character String with short report on the test evaluation e reportPDF character String with the test r
25. ts the z component value of the position parameter must be zero For LINE 2D PLANE and CYLINDER elements the orientation parameter is a vector in 3 dimensional Cartesian space with components x y and z Each vector must be scaled to length value one direction cosines For LINE 2D elements the z component of the Orientation parameter must be zero Radius and form deviation must be positive values These refer to the unit mm millimeter All parameter values must be in decimal number format fixed point or floating point e format are applicable Section 4 3 shows how to write the test results in a file consistent with the TraCIM system test result data structure 2 Test result evaluation 2 During validation the test results of a customer software are compared to the associated reference results in the TraCIM system data base For this purpose deviations regarding position orientation size and form deviation of the geometric elements are evaluated and verified to the specified maximum permissible error values MPE The following MPEs are the default values Parameter Specification of deviation Default MPE value Position Orthogonal distance of reference 0 1 um position to test result line plane axis or center point Orientation Angle between calculated and 0 1 urad reference orientation vector Radius Difference between calculated radius 0 1 um size and reference value Form deviation Difference bet
26. ware for the evaluation of coordinate measuring machine data Commission of the European Communities Programme for Applied Metrology and Chemical Analysis BCR Report EUR 15304 EN October 1993 R Drieschner Chebyshev approximation to data by geometric elements Numerical Algorithms 5 pp 509 522 1993 DIN EN ISO 1101 Geometrical Product Specification GPS Geometrical tolerancing Tolerances of form orientation location and run out ISO 1101 2004 German version EN ISO 1101 2005 August 2008 25
27. ween calculated form 0 01 um deviation and reference value The test passed successfully if all deviations are less than the preset MPE values After the evaluation the TraCIM system will issue a test report containing a certificate for tests passed or a table listing the results of the comparison for each of the elements where the test failed The test report is send back to the customer by the client server connection If the customer selects MPEs other than the default values only larger values are allowed then the results will be analysed with reference to these values Giving customer MPEs is shown in section 4 3 1 test expiration When a test was requested and the server submitted the data successfully a 180 day deadline for the customer will start After this date test results will not be processed any more 7 days before the expiration date and time a notification mail will be sent to the customer s e mail address as submitted with the registration data One day before the expiration date and time a final notification will be sent Additional note public sample data are available without an expiration date 3 Client server communication The test procedure is highly automated using internet based data exchange by client server communication Thru a client application the user is able to obtain test data and send the computational results The TraCIM system server automatically handles requests The necessar
28. y communication between client and server to perform a single test is shown in the following figure Picture 1 Customerclient l Prerequisite the customer TraCIM System application isa registered TraCIM user Server XML message exchange ij Client requests test data submitting order key Server sends test data with a process key Duo Ifthe client did not request the sample test the time between Server sendout and Client response must not exceed the test expiration deadline Client sends test results for evaluation identification by process key Servertest report certificate if passed error table if failed The data exchanged between client and server is encapsulated within XML messages A proper specification of the applied XML data schemata is subject to section 4 During processing these messages are treated as plain character strings send between the client application and the TraCIM system server 3 1 Development of a client application Configuration of the HTTPS connection For communication with the TraCIM server a client application must use an HTTPS Hypertext Transfer Protocol Secure encrypted HTTPS connection that allows to send and receive content in the form of character strings containing messages in XML format Each HTTPS connection is created from a specific URL Uniform Resource Locator regarding reguests for test data or reguests for test result evaluation After opening the co
Download Pdf Manuals
Related Search