Etude et construction d'un modèle de surface fondé sur la représentation par un atlas de cartes
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(83) 8GH <)6DU C @ U= ÒkH U= 8a
(84) 2I8> S=H @N HU 6 @J)[ \ 8 H²< K @NÑ396A U 6> @r8GH S A 2I6Ö378 <=CG@ 8ìK 6 @@N U @[@NU= H @é2Ióð8 S @DÎ A ¢ S= ¢ S @ @ A 9@ @S @ @ @NT S=DA ¢ @ @ @X¢@N S=@N eH< HI: 9@ 65ÕH S= U=H S=¢ÑM < @ CE2 ¢ H S= 3769< ¢ 378;H S U @Ñ¢@Ñ HU²@K C @A H 9@ÑA C;< 8 @ <=6 ²A 69H:)Cì@K @ÂT @ > H @ > 39698 Ò M < @ 2I<j× M < @ C
(85) S H< ]A 65H A H H S= < S)@ HCG<j378GH S 8 S=S H¡Õ42 S 3 @ Î Y @ U=H ¢ < @NS 3 @ 3 ¢ H A H @ > U @ U @ <j× A 2I6Ö378 @ <=8¶Õj8 @ U @ 3769HI8 2 S=S)@ × @ ÎVB2 S= CG2 m|2I65398 @ f Ð SU H< 2I65A 3 6@N> 9@NSU=392 H S= CH @¬ U)HHUL<=@K:=C C @ U @FH 3 <=6 ×ç 32 ¢@NíLC ç H S U?@Hj> UL <=K C 6CG2U U @N9<=¢ 6698 A2 378GH S <)UL398GcdCG< 8 S=> @F <)6 ç 8 2 ¢N@H A 692I2 6aJ=< 8 S 24373XCG2 CG2 @> H ¢ > 37@658Ð U=8 a
(86) S=> B6 39S 8 CGC Î=b2 @F¢ 2IS65398 @ f @ H @6 U137@ 65@NH 8 @Jð2 8;39ç 6 ¢N@Î @Na@S S)ç T A @@ T @ @ @ @ @NS @ @ A @ ¢ A @S D¢ A @ VB2 S= C @ Y[Jð2 A 8;396 @IÐjS HI< 672 A=A½@ CGH S) C @N¾ HjUL@K C @N U @a <=6 ç 2 ¢@N C @[A CG< <)378;CG8 @> o@S 8 S)ç H6 2äÒ 378 M < @XT 672 A J=8 M < @B@NS S HI< 2439372I69Uð2 S 3 A C;< CGH S=T < @N@NS 3 <=6]C @N
(87) HU²@K C @¾A 24672 @ > 39698 M < @N Î VB2 C Y[J=2 8;396 HI< 672 CGH < C < 65<=U=8 3 U > H > 39698 U=8 a
(88) > 6 398 C;C <=8 HS < A½S=@ 6 @ @ 353 @S 3aA ULcd< @"S= @FнA S 2I6Ö3 U @ A=U[A½@N> óð@ S 8GS)6
(89) aC @ M ÕI@H ¢ M 2I:=@<= CG2I8G6 @¬M < @@S S H< @F T<j@ 378GC; 8 H@ S= @ Uð2 S=a@ ¢@@S @@> @H8;M 6 @IÐ @ 3
(90) ULcd2I<)396 @XA 2I6Ö3]U @ U?@N> ó=S 8G6]C @NDS HI398GH S= U @ <=6 ç 2 ¢@ 6@N> T <=C;8ì@K 6 @D@ 3 M <ð2 8¶Òh6@N> T <=CG8ì@K 6 @ Î VB2 S= C @ Y[Jð2 A 8;396 @ H СS H< |A 65H A H H S) ULcå<)398GCG8 9@ 6LC @_ HjUL@K C @ U @_ <=6 ç 2 ¢N@rç H S U?@_> <)6|CG2]6 @A 6@> 5@S Ò 3©2ä378GH SÅA 2I6< S 2439CE2 U @$¢ 2I6Ö3 @N@NSÈ@ × A H 2 S 3 9@N 2yÕ42 S 3©2 T@ Uð2 S= C @¢ 2IU=6 @ U @ Cìcå8 S)ç H6 2ä378 M < @ TU 692 A HJ=8 M <3765@ < Îe
(91) 398GHH < FUL¢ cåH< S=¢ CG3 <=H C S)FH¢UL@K ¢C J=2 U A 8;396 <=@ 6 H 2 @ 3U=H S=2¢K CE2 2I6ÖA 372I8;66Ö37UL8 @ cd< f Ð@NSø6 A 69H 8ìA K H 6 2 S <=3F6 < 2 S=@$ í_@ < > 39J=HU @ Ò S=@+A @ @ @1 ç ¢@ S=@+ 3765@8E2 ¢ S)T S)<= CE2ä378GH¢ ¹S ³ S U ^@ S [ \ _ @ Î @ @ @+ ç ¢@% ² A b2 @ > 39J=HjU @ :=698ì@K Õ @N@NS 3U?@> ¢ 658;3 @ 2"K CE2 ó=S U @ CG2 A 2I65398 @ f @ 3 M <=8 ç 2I8;3]C~cdHI: ê5@ 3]U @X¢N@ @> H8;6 @IÐ 9@ H< U?@> ¢ H 69H A H H 9H @B@NS < 3969H8 H@C;> <)372378;AÔH @ ÎðHY[698 Jð82 ¢ 2I< C S=@ UðUL2 c @NS 37CG26 @Xm|@ 2ICGC65@N39¾8 A f5H f[9@U < S1A 65H>:=Cì@K H8G6 @aÎ T @ > H @ > 37658 M < @ 2I< M < @ C S
(92) A A S= S=@X S T S @ S= @ @X¢@X @ @ VB2 S= C @ Y[Jð2 A 8¶376 @ J=ÐS H< [A 69H A H H S= CG2 ¢ H S= 3769< ¢ 378;H SLÐ U?@ > 698;ÕÑ@N> @ U @ Cìcd2IC T HI698;39J @ U @
(93) 9@NT@NS Ò 3©2ä378GH ULcå< 8 2 2I6ÑU=8¶Õ8 8;H Ò < 8;H ULcå< 6 H<)Õ6 3 2I65398 <)CG8 6 H C <=2ICG8 U ¤ì¯¨ » ä1§ ¼¾S ¨ ½ ý ULcå< S=S=@ @" <)6 Tç @o2 ¢NA @ 39698G2 S=T <=CéS@> @Fç M <=8 SL@N Ð 3< S=S @ Õ4@2I¢ 658é@ > 3j@ > @NU@ @NSU=8 A @NS= 8;¢H S, @ ¢ ü H S)S S=@ @?× M@@ 3 ¢óðH @ A ^@ 2 º ¢ 3 @ Î eHI< ëõU?@N> H S 3969H S)B@S 376 @ 24<)376 @BM < @ C @FS)@ 6 ç ULcå< S 6 @N¢ H<)Õ6 @@S 3:=8 @NS,ç HI6 @> @ 3< S=@ 37658E2 S Ò TU?<=> CG24378;8;39H 8GSæH ¢ H U cd< :=8 S 6 2439HH<j8G6 Õj@ 6 ÎjeH< D3?¢ :=H 8 S=¢ CG<=HIH 6 S)¾> ¢@XHI¢ <=Jð6_2 A 2 8;376 @69A H 2I6[J Cìcd6_2 A=C A C;8 ¢ 2I2ä8;37CGCE8G2H SM < @XS 24H6Ñ< ¾U ç 2I8 H 658S= 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 < 6> A=A=8;H A U=¢ <@ 6 @DH<) Õ6 T@ 3y³ Î A @_A @N A S=@NÐ𢠢 S=@ @NS @@ @N 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 2IC @ @ U=< A A CE2 S@BA ù2IÐj6S < S=¾@õA ¢ H<=A 69H S=S=S=@+ ¢ H S ¢ 378 S=S < @+A ¢ 2I692 S @ > @376@> @ A=A A 2I6æ< S ìÒkSU=8a
(95) @ > H S= @BHI¢ 6 A J=8 9S=S=@ @ Î Y @ CG2 S HI< ?@N 3[<)378;C @ Uð2 S= CE2 ¢ H S= 3969< ¢ 378GH S U r@ ²A H<=6 @ 39396 @
(96) @S¢ H656 @5A H S Uð2 S=¢N@ C @N?A H8 S 3 U @ A 658 8;378¶Õ @N 2 A=A 65H ¢ J=2 S 3 ³ Î VB2 S= C @ Y[Jð2 A 8;376 @ Z Ð4S H< @ > 37<=U=8;H S= C @ 692 ¢¢ H69U"U @¾ <=6 ç 2 ¢@_A 246 ¢ H :=8 S 248 H S¢ H S Õ @ × @ Îe
(97) H< 9 3 @ 39H S=D@NS @ > Õj8;U @S)¢@XM < @¬¢N@B¢ H S)¢@A 3 Ð 8 S 378 @N@NS 3¾CG8é@ > 2K CE2F6 @A 6@> 9@NS 3©24398GH S U @X <=6 ç 2 ¢@N]A 2I6D< S.
(98) ù. 2439CE2 U @¢ 2I6Ö3 @NÐ 2U?@s> ê 2'K @ > 3j@ > <)398GCG8 @]> A C;< HI< H8 S= H<jÕ @ 6Ö3 @N@NS 3ÎðY @ 672 ¢N¢ H65U S H< [9@ 6532 K ç H S U)6 @ C @N?A 698 8;398;Õ @_@S < S=@a <=6 ç 2 ¢N@ 6@N> T <=C;8ì@K 6 @]@S¢ H :=8 S 2 S 3[C @oA HI8 S 3 o 8 ?@NS¢ HI696 @N9A H S Uð2 S=¢@ U=2 S= C @B¢ J=2 A 8;396 @¬ù Î VB2 S= CìcåØ S)S=@ × @ Ø ÐDS H< A 69H A H H S= < S¢ H A Cé@> @S 32I< ¢ Jð2 A 8;376 @ H²< K S HI< @ × A H H S= ULcd2I<)396 @A H8 S 3 U @ Õ< @ <)398GC;8 @N> XA H<)6U?@é> óðS 8G6¬< S=@ ÕI24698é@ > 3j@4> Ð C @A 69H ¢ @ > U?@> U @¢ H S) 3765< ¢ 398GH S U @ Õ42I698é@ > 3j@> $@ 3 @NS)óðS U @1S HI398GH S) CG8é@N> @ 2øK CG2ÈU?@N> óðS 8¶378;H S ULcå< S=@, 3969< ¢ 37<=6 @ U=8a
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