Walking in a triangulation
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Walking in a triangulation Olivier Devillers — Sylvain Pion — Monique Teillaud. N° 4120 Fevrier 2001. ISSN 0249-6399. ISRN INRIA/RR--4120--FR+ENG. THÈME 2. apport de recherche.
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(131) . ~ ¼ ,: +AB CD--
(132) . !#"%$&'
(133) ( )* (+$ $,(
(134) - . !/. /$. .0,! 12.3 * (&1 =
(135) ( "54. W3 = 6 77. !8$.0( * 94. I@] NPO I PH F8R , R I NPFQ O8VZU6W
(136) : ; **LI X.HNZO I HPF*R , R I N F_Q XZVZU W:';=< O*Y
(137) X7c R*YZFH$IKJZL*MNZOQ R R.L*O
(138) NPT8J.L V8XWc XPY.[
(139) HZO*R8HZ\N.]R_^X a V^bX a O_c?> H8AX @PC H B8D N < XPY.O_c R*YZFH$IKJZL*MNZOQ R R.L*O
(140) NPT8J.L VZO Wc O*Y.[
(141) HZO*R8HZ\N.]R_^gO7 a V^ O7 a X7c > **LI X.HNZO I HPF*R , R I N F_Q O8VZU6
(142) W : ;7c. EFG( * #' 3$. HA (0 'JI. (
(143) - =" (K #C &!A0F L (/ #M$. * 4 **LIPX.H NPO I HPF8R , R I NPFQ U8OXW :';=< R YFHIKJ.L*MNPOQ RSR.L*O
(144) NPT8J.LSOXWc @>Y [
(145) HPO*R
(146) HZ\ N.]R_N ^ @ a O_O ^ @ a X7c I@] NZO I H F8R , R I@NPF_,Q @ VPU
(147) W :
(148) ; O8Y @(cgH8AX @PH XZY @(L c >. 9 W P (3A .A "54 ~ ¼ RQ +AB CD--
(149) . !#"%$&'
(150) ( )* (+$ $,(
(151) - . !/. /$. .0,! 12.3 * (&1 =
(152) ( ". W3 = 7'#. F
(153) (D( * 94 I@] NPO I HPF8R , R I NPFQ [.T
(154) V UWS'; **L IPX.H NZO I@HPF8R , R6I NPF_Q'*.T
(155) VZUWS';=< [*Y
(156) * c R*YZFH$IKJZL*MNZOQ R R.L*O
(157) NPT8J.L VPT*Wc *8Y.[
(158) HZO*R8HZ\N.]R_^ * a T ^ * a [_^ * a V c > H8XA@PHCB8D N < *8Y.[_c R*YZFH$IKJZL*MNZOQ R R.L*O
(159) NPT8J.L VPT8[ Wc [*Y.[
(160) HZO*R8HZ\N.]R_^g[7 a T ^ [7 a * ^"[7 a V c > **LI X.HNZO I HPF*R , R I N F_Q [.T
(161) V UW: ; c. (
(162) - F $ T(/(UI IV( '9 F#( * IW$& ="X). =" NIV(
(163) #' . $UY(
(164) .3'
(165) FTF =" &! ' . $UY 4 **LIPX.H NPO I HPF8R , R I NPFQ [ *
(166) VZU6W
(167) S';=< R YFHIKJ.L*MNPOQ RSR.L*O
(168) NPT8J.L V.[ *Wc @ Y [
(169) HPO*R
(170) HZ\ N.]R_^N@ a [_^O@ a * ^ @ a Vc > I@] NZO I H F8R , R I@NPF_Q,K@ T8VPUWS'' ; [8Y(@ c H8XA@ H *8Y(@ cL> T Y[
(171) HZO*R8HZ\ N.]R_^6 @ a [_^@ a * ^O@ a Vc. EFG( * #' 3$. HA (0 'JI ) ºº vÆ_Ä.
(172) z>nCn1F O\opPQ{}| H. -H MO H c? #
(173) +HR 0. = " 3'# P D.
(174) !8$. ). = "X) =" F ="
(175) LIV( ' .$JYD(
(176) '.3' F 4 **LIPX.H NPO I HPF8R , R I NPFQ T*8[.U6W
(177) S';=< R YFHIKJ.L*MNPOQ RSR.L*O
(178) NPT8J.L>T8[ *Wc @ Y [
(179) HPO*R
(180) HZ\ N.]R_^N@ a T ^O@ a [_^ @ a * c > I@] NZO I H F8R , R I@NPF_Q T@@ VPUWS'; =" F'(AT(C .3 # P T. !8$. IK] NZO6I HPF8R , R I NPF_Q [ @ VPU W
(181) S ; =" .3'.# P . . !8$. ) T
(182) Y(@ c H*XAP@ H =" .3' P D. !8$. ) *
(183) Y(@ c H8XA@ H ' =" F (#T(C .3'.# P .
(184) !8$. ) IK] NZO6I HPF8R , R I NPF_Q*@ VPU W
(185) S ; =" .3'.# P . . !8$. ) [8Y(@ c H*XAP@ H =" .3' P D. !8$. ) T
(186) Y(@ c. P (
(187) A .ALI 4. . ). ~ ¼ ,: #CA
(188) J\ . !#"%$&'
(189) ( ) "A .
(190) ! T(
(191) .(!(+$ -+$ * A(&1 =
(192) ( "X). W3 = 6 77. !8$.0( * 94 -V$&(.! ) - G
(193) "12 " 7
(194) (TF
(195) (7. = &!A0( *. =%4. ZY UNI:F8RQ \ZU ^8V6W c I@] OMH8XZN * V *.LIPX.H X>MH8X.N * V < O*Y
(196) X7c R8YZFHIKJ.MNZO Q R>R.L*O
(197) NPT8J.L V
(198) XWcbXZY.[8HZO*R
(199) HZ\ N.] R9 a V.O_cU> H8AX @PC H B8D N < XPY.O_c R8YZFHIKJ.MNZO Q R>R.L*O
(200) NPT8J.L V.O Wc O8Y.[8HZO*R
(201) HZ\ N.] R9 a V
(202) X7c > **LIPX.H>O , MNZ[8HSVc. = $&(
(203) -F L ( 4 **LIPX.H Q.Q O , FAB X , R X.H.]ZR NZ] W NZO NZO I@HPF8R , R6I NPF_Q OXW
(204) :
(205) ;$W< R Y FH$IKJ.L.MNZOQ R>R.L8O
(206) NPT*J.L OXW c @>Y[
(207) HZO*R
(208) HP\ N.] R9 a OX7c IK/ ] @ , MNZ[8HSV XZY @(c H8AX @PHSO8Y @ c >. .# FA W XY[
(209) HZO*R8HZ\ N.]R7 a OX7c O Y[
(210) HZO*R8HZ\ N.]R7 a OX7c. " A = &! TF L K$ * 4 **LIPX.H Q.Q O , AF B XSMH*X. N * UW>NZO NZO I HPF*R , R I N F_Q U8OX
(211) W :';
(212) W6< R Y FH$IKJ.L.MNZOQ R>R.L8O
(213) NPT*J.L OXW c @>Y[
(214) HZO*R
(215) HP\ N.] R9 a OX7c IK/ ] @ , R X.H.].R N.] UXZY @(c H8AX @ H O*Y @(Uc >. W9P (3A .A "54. » º;»¼Ê.
(216)
(217)
(218) . zmnCn1F O\oCP{|}. H ?H ?QAH
(219) +a bC?bv-
(220) . !#"%$&'
(221) ( ) "A .
(222) ! = 12 1 .
(223) !D
(224) ( P P -3$ . * (&1 =
(225) ( "54 Ws = 6 . !8$.0( * =4 U8O
(226) HZ[ I@NPT@ Y.Rc"HPFA.B Y*] , XA@ H c **LIPX.H QBFNZR HPFA6B W < HY O , FA8B NH'ZB J
(227) HN.] Rc I@] Q UFNZRFH$IKJZL*MNZONZ]U8O8HZ[ I NPT G @ R.L8O
(228) N T8J.L H$W , FAB Q U NPF R.LHNZR.L
(229) HZO @8IB8H N.] H$W < U*O
(230) HZ[ I N T@ Y.R_cBR8YZFH
(231) IKJ.L.M
(232) NPOQBR R.L*O
(233) NPT8J.LH$WcU> H8XA@ H< HY FHZ\*R H'.B J8H NZ] R_c IK] Q UFNPR FHIKJ.L*MNPON.] U8O
(234) HZ[ I@NPTG @ R.L*O
(235) NPT8J.LH$W , FAB Q UN F R.L
(236) H NPR.LHZO @8IB*H NZ] HW < U*O
(237) HZ[ I N T@ Y.R_cBR8YZFH
(238) IKJ.L.M
(239) NPOQBR R.L*O
(240) NPT8J.LH$WcU> H*XAP@ HD< H Y FHZ\.R H .B J
(241) HN.]R_c I@] Q U F
(242) NZR FH$IKJ.L.MNZON.] U8O
(243) HP[ I NPT' @ R.L8O
(244) NPT*J.L H$W , FAB Q U NPF R.LHNZR.LHPO/*@ IB8HN.] H$W < U*O
(245) HZ[ I N T@ Y.R_cBR8YZFH
(246) IKJ.L.M
(247) NPOQBR R.L*O
(248) NPT8J.LH$WcU> H8XAP@ HHPF#*B Y.R*O.T
(249) H c > > > W9P (3A .A "54. ~ ¼ . ºº vÆ_Ä.
(250) -H MO H c? #
(251) +HR 0. z>nCn1F O\opPQ{}|}t ª ²N®'¥ i´h¦ © ¥v*²*®³¦ ¸ ®'© Á ¤¬q¦'®'¥§Á Ä . . . . . Å Åc qÄ Å Åc . ½¥§¦³¥§¶v¥§°§¥ ®¼±mÄ. . . . Ä *Æ Åc qÄ . º;´ ¦'®'© Á ¤ Ä . . . . . º;´ E¥§¦³¥§¶¢Ä . Å. . c c *Æ c qÇ Ç EÆ Ç Åc Ç. . . . ¸ ®'ª'¬q¥ ¤ ®Ä . . . . . ª ®³¤*© ©¬q°\Ä . . . Å qÅ ÆÆ Æ *Æ Ç Æ Æ EÆ Æ_ÅÄ Æ_Å Æ_Å*Æ Æ Æ_ÇÅ Æ Æ Å Æ Æ qÄ Æ EÆ Æ_ÅÄ Æ_Å Æ_Å*Æ Æ Æ_ÇÅ Æ Æ Å Æ Æ qÄ Æ Æ_ÇÇ Æ_Ç Æ_ÇÇ Æ Å Ä*Æ Æ Ä Æ Å Æ_ÅÄ Æ . . ª ®³¤*© *¥§¦'¥§¶NÄ . . . . . . . ½¥§¦³¥§¶v¥§°§¥ ®¼±. . . . ¸ ®'© Á ¤¬q¦'®'¥§Á. . . . . º;´ E¥§¦³¥§¶. . . . . . º;´ ¦'®'© Á ¤ . . . . . ¸ ®'ª'¬q¥ ¤ ® . . !. . . . ª ®³¤*© ©¬q° . q¬
(252) °§ « Y´_ª;Y©¥® Æ *Æ Æ_Ä Æ_Äc Æ_Ç*Æ Æ Æ Å Æ ÆÆ_Ä ÆÆ Æ_Ç ÆÆÆ Æ_Ç*Æ Æ *Æ ÆÆ Æ_Äc ÆÆ Ç Ç Æ_ÄÅ ÅÇ Æ_ÅÅ Æ_Ç*Æ ÆÆ Æ Æ_Ä*Æ Ç Ç Ç Ç Å EÆ *Æ qÄ Ç Å ÅÄ Å R Å Ä Ä Ä c ÄÅ Ä *Æ Ä Ä Äc Ä Ä Ä Ä Ä Ä c Ä qÄ Ç*Æ Å Æ_Ç Å Å ÆÆ . . ". . . . . . . . . . . . . . . . Æ *à -Y©¥ ®'¦ &¥§´_ ª' ¬q
(253) ª Á ¤ ± ¦ Y´_ª&Y©¥ ® c Ä Ä ÄÄ Ä Ä c Äc Ç*Æ c Ä Ç Ä*Æ vÆ Ä Ç ÄÄ Ç ÄÄ c Ä Ç Ä EÆ Äc Ç Å ÄÄ Å Ä c Ä Ç Ä Ç Ç ÄÄ c Ç Ä c EÆ ÄÄ c ÇÇ Ä c Å Ä Ä*Æ Ä Ä Å Æ_Å R Ä Æ R *Æ Äc Å Ç Ä Å ÄÅ Å Ä Ä ÄÅ Å .
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