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Evaluating the Cylindricity of a Nominally Cylindrical Point Set (Draft)

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(1)Evaluating the Cylindricity of a Nominally Cylindrical Point Set (Draft) Olivier Devillers, Franco Preparata. To cite this version: Olivier Devillers, Franco Preparata. Evaluating the Cylindricity of a Nominally Cylindrical Point Set (Draft). RR-3747, INRIA. 1999. �inria-00072915�. HAL Id: inria-00072915 https://hal.inria.fr/inria-00072915 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Evaluating the cylindricity of a nominally cylindrical 

(3) point set Olivier Devillers — Franco P. Preparata. N° 3747 Juillet 1999 THÈME 2. ISSN 0249-6399. apport de recherche.

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(233) ( ,ýie^R~ h˜URYtyY–¦betyY % pbf^*h˜URYNbehyURYtuUŠij^R~ó®0h˜URYtyYNY š_`lohyli {}be_c^0h & %´›NUR_`gUqPYa`bf^Rdfl3hyb hyURY q}bfk|^R~Šietwn¿be–   ( ,*¤8behyURYtw›N_cloY   ( ,ýgbekRac~'^Rbehq}Y@X*_c^R_`X£iea §®$lob¯h˜URijh 6_`l bfk|h˜lo_c~|Y  (   ,›NU|_cgU£gbf^|lyYr>kRY^0h˜a¡n@gie^R^Rbjhgbf^0hie_`^ %¢¤8loY(Y 4$_`dfkRtyYV„0§¨¾TVUR_`l lohiSh˜YX*Y^>hNU|bfac~|l%kR^R~RY=t 7“np{Pbeh˜URYlyYl)¤ 60§¨$TVURYgbf^|ga`kRly_`bf^ _cl%hyUŠijh®|_`^#h˜URYýtoYa`Y ¸ ie^0h ^RY_`dfU>q}betyURbpbš~  (  ,bj–Vh˜URY#bety_`df_c^—®¾h˜URY#qPbfkR^|~Šieton™be– _`l‰lyie^R~|›N_`gURY~LqPYhª›YY^ hª›b*h˜tyie^Rlyacijhy_cbf^|l“bj–hyURY q}bfk|^R~Šietwnbe– q0n ¸ Yghybftyl  ie^R~ ¤8lyYY 4_cdfk|tyY §¬¨ ™Y(iea`lyb'³p^|b1› hyUŠijh#_`^bfto~R_c^RietonLly{RiegY  (  ,®Nq0n ~RYŠ^R_¡h˜_`bf^be– bf{šh˜_`X@ija lybfa`k|h˜_`bf^ó®-URiellyX£iea`acYt›N_c~|hyU(h˜UŠie^  ( ,¨"©ª^ h˜UR_`lý–8iegh _`l_`^>hyYto{RtyYh˜Y~ ielx–¦bfa`a`b1›Nl/¨ +š_`^RgY)Æ .  (_`l½hyURY"›N_`~|h˜U—®óYBiegU²›N_`~|hyU ¸ ijackRY)_cl½ielylobšg_ ijhyY~²›N_¡h˜U i*U0np{PYt Þ{Racie^RY_c^ bftohyURbfdfbf^Riea—h˜b¼hyURY ¸ Ygh˜bft E¨uTVURYtoY–¦bftoYe® ¿a`_cYlx_`^6hyURYUŠiea¡–  ly{ŠiegY É~RYac_`X*_`hyY~q0n¼hyURYNU>np{PYtª{Racie^RYN{Šieloly_`^Rd)q0n $›N_¡h˜U£_c^|^RYtE^RbftoX@ija h˜URYýYr>kŠijh˜_`bf^ be–mh˜U|_clVU0np{}Yty{Racie^RY _`l   ). Æ À à . Æ -¨  Yh  ~RY^Rbjh˜Y h˜URY¼~RbeX@ij_c^¿bfq|h˜ie_`^RY~¿q0n²h˜tyie^Rloa ijhy_c^|d q0n  ¨)TV URÅ Y^  (  ,½~RYR^RYli lyX£iea`a ~|bfX£ie_c^ €h˜UŠijh“_`lxdekŠiet˜ij^>hyYY~¯h˜b£gbf^0h˜ie_c^  ¤8loYYe®}ied0ij_c^ó® 4_cdfk|tyY §¨ _`l . . 

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(256)        . 4$_`dfkRtoY. .  .  . 

(257)     =  . . ¿_cl“ie{|{RtybB š_cX£ijhyY~ q>n. 587xbG› . . g a`YBietoa`n*ijq}b ¸ YVhyURYV{Racie^RY   1. Æ  / Å Ã ¨©Þh3–¦bfa`acbG›Nl3h˜UŠiSh3h˜URYV~R_}YtyY^RgY“qPYhª›YY^ h˜URY tyYly{PYgh˜_ ¸ Y"›N_`~|hyURl%Æ ºie^R~Æ be–  ( ,%ie^R~6be–   ( ,_cl“ijh“X*bfloh À  Å Ã 5 * Æ 'Æ *9. * (   ,  (    , *   È   ¤8ˆ0§ ™Y6^RbG›,›N_cloU°hyb«¤¦b ¸ Yt˜§wYlwh˜_`X£ijh˜Y¯hyURY6ly_`”Y6be– £¨ T b™hyUR_cl£Y^|~°›Y YlohijqRac_`lyU ^RYgYlylyieton¯gbf^|~R_`hy_cbe^Rl½–¦bft °hybqPY)_`^ @¨ )½lylokRX*_c^|d#h˜UŠijh & £®óijl½_`^ +šYgh˜_`bf^ºZ ¤8lyYY 4$_`dfkRtoY ‡1§¾_c^ie{R{Rtobf{Rty_cijhyYxloYghy_cbe^Rlbe–   ( ,$›YxgBie^@q}bfk|^R~£hyURY“t˜ie~R_`_be–—hyURY ie^R^>kRa`kRlm_c^h˜YtyX*lmbe–>h˜URYugbftytoYly{Pbf^R~|_c^RdNtyie~R_`_fbe–   

(258) ( ,¬¨  Yh xqPY¾h˜URYuURbety_`”bf^0hija ~R_clwhie^|gY q}Yhª›YY^6h˜URYiS š_`l“bj–  ( ,ie^R~h˜URYiS š_`lNbe–   

(259) ( ,%iShNlybfX*Y URY_`dfU0h  Ç &    $ >¨ xbehyYEhyUŠijh  È  &eÈ )   ®fie^R~  È  &eÈ    ietoYhyURYtyie~R_`_ . . . . .

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