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Etude et construction d'un modèle de surface fondé sur la représentation par un atlas de cartes

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(1)Etude et construction d’un modèle de surface fondé sur la représentation par un atlas de cartes Cédric Gerot. To cite this version: Cédric Gerot. Etude et construction d’un modèle de surface fondé sur la représentation par un atlas de cartes. domain_other. Université Joseph-Fourier - Grenoble I, 2001. Français. �tel-00097567�. HAL Id: tel-00097567 https://tel.archives-ouvertes.fr/tel-00097567 Submitted on 21 Sep 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..

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(92) A A Ž S=Ž S=@XŽ S T S @ S=Ž @ @X¢@X’ @’ @ VB2 S=Ž C @ Y[Jð2 A 8¶376 ˆ@ J=ÐS H< Ž[A 69H A H Ž H S=Ž CG2 ¢ H S=Ž 3769< ¢ 378;H SLÐ U?@ > 698;ÕÑ@N> @ U @ Cìcd2IC T HI698;39J ’@ U @

(93) Ž9@NT’“@NS Ò 3©2ä378GH ULcå< 8 2 2I6ÑU=8¶ÕŠ8 8;H Ò < 8;H ULcå< 6 H<)Պ6 3 2I65398 <)CG8 6 H C <=2ICG8 U ¤ì¯¨ ™ » Ÿä1§ ¼¾S ¨ ½ ý ULcå< S=S=@ @"’ Ž <)6 Tç @o2 ¢NA @ 39698G2 S=T Ž <=CéS@> @Fç M Ž<=8 SL@NŽ Ð 3‘< S=S @ Õ4@2I¢ 658é@ > 3j@ > @NU’“@ @NSU=8 ’“A @NS=Ž 8;¢H S, @ ¢ ü H S)S S=@ @?× M@@ 3 ¢óðH @ ’“A ^@ 2 º ¢ 3 @ Î eHI< Ž ëõU?@N> ’ H S 3969H S)ŽB@S 376 @ 24<)376 @ŽBM < @ C @FS)@ 6 ç ULcå< S 6 @N¢ H<)Պ6 @’@S 3‘:=8 @NS,ç HI6 ’ @> @Ž 3‘< S=@ 37658E2 S Ò TU?<=> CG24378;8;39H 8GSæH ¢ H U’ cd< :=8 S 6 2439HH<j8G6 Õj@ 6 ÎjeH< ŽD3?¢ :=H 8 S=¢ CG<=HIH 6 S)Ž¾> ¢@XHI¢ <=Jð6_2 A 2 8;376 @š69A H 2I6[J Cìcd6_2 A=C A C;8 ¢ 2I2ä8;37CGCE8G2H S“M < @XS 24H6Ñ< Ž¾U ç 2I8 Ž H 658S=Ž 8;U 378¶@ Õ CG2 @éCG2 óðS S Jð2 < S @NUL¢ c 376 @’C;@C S 2 @NS"65H ç Jð’ 2 @¾3

(94) A < 6Š> A=A=8;H A U=¢ <­@ 6 @DH<)’ Պ6 T@ 3y³ Î A @Ž_A ’ @NŽ A S=@ŽNÐ𢠢 S=@ @NS @‘@ @NŽ A=A ¢ S S)@ @T S @¢ @N’“@NS VB2 C Y[Jð2 8;396 HI< 65H H H CE2 H 3769< 378;H U C~cï2 69Hy×j8 24398GH ULcå< H<=69H HA C;ë T H S=S Ž 2IC @ @ U=< A A CE2 S@BA ùŠ2IÐj6S < S=Ž¾@õA ¢ H<=A 69H Ž S=S=S=@+Ž ¢ H S ¢ 378 S=S Ž < @+A ¢ 2I692 S ’ @ > @376Š@> @ A=A A 2I6æ< ’S –‚ìÒkSU=8’a

(95) @ > H S=’ @BHI¢ 6 A J=8 Ž9S=’S=@ @ Î Y @ CG2 S HI< Ž?@NŽ 3[<)378;C @ Uð2 S=Ž CE2 ¢ H S=Ž 3969< ¢ 378GH S U r@ ²A H<=6 ’@ 39396 @

(96) @S“¢ H656 @Ž5A H S Uð2 S=¢N@ C @NŽ?A H8 S 3 Ž U @Ž A 658 ’ 8;378¶Õ @NŽ 2 A=A 65H ¢ J=2 S 3 ³ Î VB2 S=Ž C @ Y[Jð2 A 8;376 @ Z Ð4S H< Ž @ > 37<=U=8;H S=Ž C @ 692 ¢¢ H69U"U @¾Ž <=6 ç 2 ¢@Ž_A 246 ¢ H ’ :=8 S 248 Ž H S¢ H S Õ @ × @ Ίe

(97) H< Ž 9 3 ’@ 39H S=ŽD@NS @ > Õj8;U @S)¢@XM < @¬¢N@B¢ H S)¢@A 3 Ð 8 S 378 ’“@N’“@NS 3¾CG8é@ > 2ŸK CE2F6 @A 6Š@> Ž9@NS 3©24398GH S U @XŽ <=6 ç 2 ¢@NŽ]A 2I6D< S.

(98) ù. 2439CE2 Ž U @¢ 2I6Ö3 @ŽNÐ 2‘U?@s> ê 2'K @ > 3j@ > <)398GCG8 Ž @]> A C;< Ž HI< ’ H8 S=Ž H<jÕ @ 6Ö3 @N’“@NS 3ÎðY @ 672 ¢N¢ H65U S H< Ž[Ž9@ 653‘2 K ç H S U)6 @ C @NŽ?A 698 ’ 8;398;Õ @Ž_@S < S=@aŽ <=6 ç 2 ¢N@ 6Š@N> T <=C;8ì@K 6 @]@S¢ H ’ :=8 S 2 S 3[C @ŽoA HI8 S 3 Žo’ 8 Ž?@NS¢ HI696 @NŽ9A H S Uð2 S=¢@ U=2 S=Ž C @B¢ J=2 A 8;396 @¬ù Î VB2 S=Ž CìcåØ S)S=@ × @ Ø ÐDS H< Ž­A 69H A H Ž H S=Ž < S¢ H ’“A Cé@> ’@S 3­2I< ¢ Jð2 A 8;376 @  H²< K S HI< Ž @ × A H Ž H S=Ž ULcd2I<)396 @ŽA H8 S 3 Ž U @ Պ< @ <)398GC;8 Ž @N> ŽXA H<)6U?@é> óðS 8G6¬< S=@ ÕI24698é@ > 3j@4> Ð C @ŽA 69H ¢ @ > U?@> Ž U @“¢ H S)Ž 3765< ¢ 398GH S U @Ž Õ42I698é@ > 3j@> Ž$@ 3 @NS)óðS U @Ž1S HI398GH S)Ž CG8é@N> @Ž 2øK CG2ÈU?@N> óðS 8¶378;H S ULcå< S=@,Ž 3969< ¢ 37<=6 @ U=8’a

(99) @ > 6 @NS 398E2I:)C @õŽ <=61< S=@ Õ42I698é@ > 3j@ > Î VB2 CìcåØ × Í H< 69H H H < H Cé> 3¬2I< Jð2 8¶376 H€< K H< U[> H 3765H < S=@XA 65S=H ŽA 658é@ > 3j@BS=> S)Ž @8 ’“@ A C @ Ðr<)S 378;CG8 Ž Ž‘@> @ A Uð2 A S=Ž]Ž ¢@XS=Ž ¢ Jð2 SA 8;¢ 396 @’“Î A @’@S ¢ A ±@ J S Ž @’ S S=Ž \ S)óðSLÐ Uð2 S=Ž CìcåØ S=S=@ × @ Y СS H< Ž²¢ H ’“A Cé@ > 39H S=Ž C @ƒ¢ Jð2 A 8¶376 @ Z @S @ > 3©24:=CG8 Ž9Ž 2 S 3 A CG< Ž 8 @ <=6 Ž²¢ H S U=8¶378GH S=Ž M <=J=88 S H< Î ŽAÔ@ 6 ’“@ 393 @S 3U @ U?@N> ó=S 8G6"CE2 A 2I672 ’ @ > 39698 Ž 24398GH S ULcd< S=@ ¢ H<=65H S=S=@1A 2I6Ÿ< S ƒ‚hÒkU)8ba

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(105) @ > 6 @S 398 @ C;C @ ÎjmrH<=6 ¢N@ CE2 Ð SeHHI< < ŽƒA 6ŠH@N> <Ž9@NS 243935H 3©S=2IŽ 65U=UðH 2 S)Ž C @?C;< ¢ Jð2 CGHA 8¶376 < @až C @NŽ 3 U=8’a

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(107) 37A 8;H S=Ž ’ 8 Ž9@ Ž < @M Ž U@NŽ@ CE2 T @ > H ’ @ > 37698 @ U=8’a

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