Morphométrie de structures cellulaires biologiques partiellement observées par imagerie 3D

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Morphométrie de structures cellulaires biologiques partiellement observées par imagerie 3D

David Legland

To cite this version:

David Legland. Morphométrie de structures cellulaires biologiques partiellement observées par im-

agerie 3D. Modélisation et simulation. Université René Descartes - Paris V, 2005. Français. �tel-

00081554�

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: ð7 ;//(*½9Ó<.1s46').w½%%/&().w #,7/#4/(*½Á46Á/.11.1'*,7êî9*46%').11w½%/%46Ï2# ðððððððð ÀxÂ

: ð98 "$½/()Á#Ï2&% &(546')().w9#,7ê/% #3*/(>öU49#7/#(*&02½1/').w½% ðððððððð,ðððððððð À"

: ð9L :/(>öí49#7/#(*&02½1/').w½%Ç½Á/'*#&% #8ä46()').1(-7ê/% #,9½/()ÁF#xð«ððððð,ðððððððð À:

: ð1¾Ã :/(>öí49#7/#93¡½.1%'*3;ä/% #/(*½6öè½% 7/#&/(

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ðððððð,ðððððððð,ðððððððð ÀxÄ

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Ä<ðìÂ Ë-#99½% 3*')() &').w½%46(²9½¿/w#yÓ/#93-9#&11/46.1(*#93Þðððð,ðððððððð,ðððððððð 7u¾

Ä<ð9 "$½%')().1Á//').w½% 3&w&#&%'546.1(*#93Ìä4¿46(54&'*&().w3*').w #87êîÒ/w#&(>=@?½.1% 46(*xð ðððððð 7.

Ä<ð: ôõ% 7/&F#&% 7 46% 9#87/#4¿7<.10.w3*.w½%ë7/#93²9½¿/w#yÓ<#93ððð,ðððððððð,ðððððððð 7.

Ä<ðìÄ ó#93-F½% 7/&(546').w½% 3;7/#93-ÂxÀ¿7<.1(*#9&').w½% 3-&w&#&%'546.1(*#93«ðððððððð,ðððððððð 7Ä

Ä<ðìÀ "$½%<÷ Ïx/(546').w½% 3Ì7<.46Ï2½%46w#93;7 46% 3¡/%Ç&/ÁF# ðððð,ðððððððð,ðððððððð 7"7

Ä<ð7 ;/&(*½'546').w½%Ç7/#93¡/.ýÓ/#&w3-7ê/% #9½%<÷ Ïx/(546').w½% ðáððððððð,ðððððððð 7.8

Ä<ð98 ;/&(*½'546').w½%Ç7/#4½x3).1').w½%7/#93¡s46.11w#93;7 46% 3¡íê.1s46Ï2# ððððð,ðððððððð 7.L

Ä<ð9L Ò~Ó/#&¿/w#93-7/#9½%<÷ Ïx/(546').w½% 3Ì7/#

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Ä<ð1¾ÃK"V46w&/7/#4M7<.1(*#9&').w½%4M/1 3²/(*½Á46Á/w#xð ððððððððð,ððððððððð,ðð 8xÂ

Ä<ð1¾x¾#93)/(*#7<.1(*#9&').w½%/% #&1w#83)/(²7/#93²½Á<)#&'*3-7/#ÌöU½()#3).1¿/w#xððð,ððððððððð,ðð 8:

Ä<ð1¾ÂK"V46w&/7<9½() 3-7/#È$43*5/É2#3)/(²/% #9½/#7/#9#&11/w#93¡02&Ï2&'546w#93 ððððð,ðð 8:

Ä<ð1¾ ÒÓ<#&¿/w#7/##93)/(*#93-7<.1(*#9&').w½%/% #&1w#93i ð,ððððððððð,ððððððððð,ðð 8xÄ

Ä<ð1¾z:K¡9/.w3).1').w½%+

7/#X6'*#8ä46.1%ð ððððð,ððððððððð,ððððððððð,ðð 8xÀ

Ä<ð1¾Ä ?P(*½6÷ w3-7/#7/#&% 3).1'*,7/#4¿3)')() &')/(*#7<X46.1%Kððððððððð,ððððððððð,ðð 8A7

Ä<ð1¾À Ë;½x3*#93²7/#93¡% ½()s46w#93N 7<ë46.1%ððððð,ððððððððð,ððððððððð,ðð 8"8

À<ð1¾ `R*46%').11w½%46Ï2#M7ê/% #3*')() &')/(*#46(-7/#93²9½/#93²02#&()').w46w#93ð,ððððððððð,ðð L:

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À<ð9 ½u7<.ý÷46').w½%7/#íêî#93)').1s46'*#&/(Ì7/#7/#&% 3).1'*3)/(>öí4&.w #ðððð,ððððððððð,ðð LxÀ

À<ð: &'*#&()¿.1%46').w½%7/#íêì46%/Ïxw#46(;4> 3)'*#&#&%'Ì7/#7<(*½.1'*#xð ððð,ððððððððð,ðð LA7

À<ðìÄ `P'*#&% 7< #½x3*3).1Á/w#7/#93²7<(*½.1'*#93;3*&46(546')().w9#93ð ðððððððð,ððððððððð,ðð L"L

À<ðìÀ ÒR3)').1s46').w½%½% 7/&(*9#46(²4M7<.w3)'546% 9#,7/#3*&46(546').w½%ð ððð,ððððððððð,ððù¾ÃxÃ

À<ð7 ÒR3)').1s46').w½%Ç7/#3)/(>öí49#½/(¡/%3)Æ<3)'*A&#7/#3)/ A&(*#93ðÚððð,ððððððððð,ððù¾ÃxÂ

À<ð98 ;&1.w½(546').w½%Ç7/#íêî#93)').1s46'*#&/(-7/#7/#&% 3).1'*,3)/(>öU4&.w #xð ððð,ððððððððð,ððù¾Ã"

À<ð9L "$½/#02#&()').w46w#87ê/%X½7/A&w#Á½u½w9#&%+

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7uð1¾ .ýü&(*#&% 9#93-#&%')(*#w#93²1.1Ïx% 9#93²3z46/046Ï2#93;#&'-46%').w3*#&% 3ð ðððð,ððððððððð,ððù¾x¾Â

7uðìÂ "$½/#93-7/#46()').w#&(*3-7/#'*½s46'*# ððððð,ððððððððð,ððððððððð,ððù¾x¾

7uð9 :u#&Ïx#&%'546').w½%7<Ç9½%'*½/(;7ê/%Ç46()').w#&(-7/#'*½s46'*#xð¦ððð,ððððððððð,ððù¾x¾

7uð: ø

(546% 3>öU½()s46').w½%Ç7<9½%'*½/(;#&%9½/()Á#xð ð,ððððððððð,ððððððððð,ððù¾x¾z:

7uðìÄ ;//(*½9Ó<.1s46').w½%Ç7<Ç9½%'*½/(-½Æ2#&%46(¡/% #9½/()Á#½1Æ% ½¿.46w#åðððððð,ððù¾x¾Ä

7uðìÀ "$½/()Á//(*#93;/().1% &.146w#93-#&%ëöè½% &').w½%7/#47<.w3)'546% 9#Ï29½u7/93).w #xðåððððððð,ððù¾x¾À

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7uð98 : 99#9353).w½%7/#9½/#93²½/').w #93-7/#4MÑ&#/.1w#7ê.1s46Ï2#xð ððððððððð,ððù¾x¾8

7uð9L .ýü&(*#&%'*#93-.1s46Ï2#93-7/#/.1w#93²3* 99#93*3).102#93 ð,ððððððððð,ððððððððð,ððù¾x¾L

7uð1¾Ã ôõs46Ï2#93²7/#4M359 #&% 9#/(*9997/#&%'*#46/(*A93-9½146Ï2#xðãððððð,ððððððððð,ððù¾x¾L

7uð1¾x¾ôõs46Ï2#93¡(*#99½1w9#93Ì7/#93¡0x46().w&'*93;"V46#&(*½%Ç#&'yx; #93)'¦ððððð,ððððððððð,ððù¾ÂxÂ

7uð1¾Â ôõs46Ï2#93¡(*#99½1w9#93Ì7/#4M1.1Ïx% 9#,46%').w3*#&% 3 ðð,ððððððððð,ððððððððð,ððù¾Â"

7uð1¾ ôõs46Ï2#93¡(*#99½1w9#93Ì7/#4M1.1Ïx% 9#3546/0x46Ï2# ðð,ððððððððð,ððððððððð,ððù¾Â:

7uð1¾z:¶"$½()(*#9&').w½%7/#4Á46.w3*3*#7/#1/¿.1% ½x3).1'*#&%ë/(*½6öU½% 7/#&/(ð ðð,ððððððððð,ððù¾ÂxÄ

7uð1¾Ä Ë;#&46 3*3*#&#&%'-7/#íê.1s46Ï2#7/#93-1.1Ïx% #93¡46(¡÷ 1')(546Ï2#s4Óu=í97<.46%ð/ððððððð,ððù¾ÂxÀ

7uð1¾À ;&1.w½(546').w½%Ç7/#íê.1s46Ï2#,4902#97/#93²÷ 1')(*#93¡½()/ ½w½Ïx.w #93ð ððððððððð,ððù¾ÂxÀ

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7uð1¾L ôõs46Ï2#93²3*#&Ïx#&%'*9#93;7/#93²046().w&'*93"V46#&(*½%#&'Nx; #93)'ðððð,ððððððððð,ððù¾xÃ

7uðìÂxÃ ôõs46Ï2#93²3*#&Ïx#&%'*9#93;7/#41.1Ïx% 9#,46%').w3*#&% 3¡ð,ððððððððð,ððððððððð,ððù¾<¾

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8<ð1¾ ?P(*½6÷ 7/#7/#&% 3).1'*xð ððððð,ðððððððð,ððððððððð,ððððððððð,ððù¾z:":

8<ðìÂ ?P(*½6÷ w3²½Æ2#&% 3Ì7/#7/#&% 3).1'*3*/(>öU4&.w #çí"V46#&(*½%Ç#&'Nx; #93*'zéyð ðððððððð,ððù¾z:Ä

8<ð9 P#9&'*#&/(*3-/(*½/(*#93-7/#4M7/#&% 3*.1'*3)/(>öí4&.w #ððððððððð,ððððððððð,ððù¾z:À

8<ð: Ë;½x3*#7/#93²7<.1(*#9&').w½% 3N 7ê/% #')(54902#&(*3*9#87/#F&().w46()#xð ðð,ððððððððð,ððù¾z:F7

8<ðìÄ Ë;½x3*#7/#93²7<.1(*#9&').w½% 3;3)/(-7/#93²9½/#93¡/46% #93 ðððððððð,ððððððððð,ððù¾z:-8

(10)

8<ðìÀ

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8<ð98 "$½/#93-7/#46()').w#&(*3-7/#93¡1.1Ïx% 9#93Ì46%').w3*#&% 3;#&'²3546/046Ï2#xððððððð,ðððððððð ¾ÄxÃ

8<ð9L

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8<ð1¾Ãñ?(*½6÷ w3-½Æ2#&% 3Ì7/#7/#&% 3).1'*3)/(>öí4&.w #(*#&46').102#fç Ë,¾Â2é ððððð,ðððððððð ¾Ä"

8<ð1¾x¾o?(*½6÷ w3-½Æ2#&% 3Ì7/#93²7/#&% 3).1'*7/#% ½8Á/(*#,#&'-7êî&46.w3*35#&/(8ç Ë,¾Â2é¶ð,ðððððððð ¾Ä"

8<ð1¾Â P#9&'*#&/(*3²/(*½/(*#93;7/#íêì46%461Æ<3*##&%9½¿½x3546%'*#93-/().1% &.146w#93Çððð,ðððððððð ¾Ä:

8<ð1¾ñ?(*½6÷ w3;7/#w½%/Ïx #&/(*3¡÷/Ó/#½Æ2#&% 3;F½/(¡w#93-7/#&<Ó!1.1Ïx% 9#93ðHðððð,ðððððððð ¾ÄxÀ

8<ð1¾z:Þ"V46()'*#7/#(*#9353*#&,Á/46% 9#87/#93¡/(*½6÷ w3-7/#3)/(>öí49#')(*½% 93ð ðððð,ðððððððð ¾ÄA7

8<ð1¾Ä P#9&'*#&/(*3²/(*½/(*#93;7/#93¡/(*½6÷ w3-7/#,3)/(>öU49#')(*½% 93¹ðððððððð,ðððððððð ¾Ä"8

8<ð1¾Àñ?(*½6÷ w3;7/#7/#&% 3).1'*3)/(>öí4&.w #½Á/'*#&% 3;46(¡w#93²9½/F#93-02#&()').w46w#93ð ððððððð ¾Ä"L

8<ð1¾$7 P#9&'*#&/(*3²/(*½/(*#93-F½/(-4M7/#&% 3).1'*3)/(>öí4&.w #93-7 46% 3-7/#93²9½/#93¡02#&()').w46w#93ðððð ¾À<¾

8<ð1¾8 P#9&'*#&/(*3²/(*½/(*#93;7/#93¡/(*½6÷ w3²')(*½% 93-3*/(²9½/F#93¡02#&()').w46w#93«ðð,ðððððððð ¾ÀxÂ

8<ð1¾LñË-#&/(*935#&%'546').w½%46(-ï½% ½.í7/#93-9/.1046w#&%'*3 ðððð,ðððððððð,ðððððððð ¾À"

(11)

Ä<ð1¾ :Æu%') A935#7/#93-9½%')().1Á//').w½% 3;7/#54 #,9½%<÷ Ïx/(546').w½%ðððð,ððððððððð,ðð 8"L

Ä<ðìÂ :Æu%') A935#7/#93-9½%')().1Á//').w½% 3;7/#54 #,9½%<÷ Ïx/(546').w½%ðððð,ððððððððð,ðð LxÃ

À<ð1¾ "V46w&/7/#93;46%/Ïxw#93²9½()(*#93)½% 7 46%'*3äM7/#93-9½%<÷ Ïx/(546').w½% 3Ì7/#

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7uð1¾ ø 46.11w#,7/#93¡.1s46Ï2#93Ì46/(*A93²9½146Ï2#,#&'²35&w#9&').w½%7/#93-&46.w3*35#&/(*3¡/').1w#93 ððððð,ððù¾ÂxÃ

8<ð1¾ Ë;93)/1'546'*3²7/#93-49/.w3).1').w½% 3;3)/(¡4M0x46().w&'*8"V46#&(*½% ðððð,ððððððððð,ððù¾z: ¾

8<ðìÂ Ë;93)/1'546'*3²7/#93-49/.w3).1').w½% 3;3)/(¡4M0x46().w&'*x; #93)'òðððððð,ððððððððð,ððù¾z:Â

8<ð9 ;%461Æ<3*#7/#0x46().46% 9#F½/(¡w#93²'*½s46'*#93Ì"V46#&(*½%Ç#&'yx; #93*'ð¡ððððððððð,ððù¾z:Â

8<ð: ;%461Æ<3*#7/#0x46().46% 9#7/#4¿7/#&% 3).1'*3*/(>öU4&.w #,"V46#&(*½%Ç#&'yx; #93)'ðfððððð,ððù¾z:À

8<ðìÄ ;%461Æ<3*#7/#0x46().46% 9#F½/(¡íêî&46.w353*#&/(-7/#93¡'*½s46'*#93 Ë8¾Â<ðÚððððððððð,ððù¾ÄxÃ

8<ðìÀ Ë;93)/1'546'*3¡½Æ2#&% 3-½/( Ë,¾Â ðððððð,ððððððððð,ððððððððð,ððù¾Ä<¾

8<ð7 ;%461Æ<3*#7/#0x46().46% 9#Ïxw½Á46w#½/(

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8<ð9L Ë;93)/1'546'*3²7/#íêì46%461Æ<3*#7/#0x46().46% 9#½/(¡w#93²/(*½6÷ w3²7/#,3)/(>öU49#')(*½% 93ðáð,ððù¾ÄxÀ

8<ð1¾Ã ;%461Æ<3*#7/#0x46().46% 9#7/#93¡/(*½6÷ w3-½Á/'*#&% 3²46(-9½/#93¡02#&()').w46w#93ð ðððððð,ððù¾ÀxÃ

(12)

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