Vistas Estereocopicas

UNIVERSIDAD MAYOR DE SAN ANDRES

FACULTAD DE INGENIERIA INGENIERIA CIVIL GEODESIA Y FOTOGRAMETRIA CIV 215 – J.T.P.

PROYECTO Nro. 1 VISTAS ESTEREPSCOPICAS Univ. Colq! Pin"o Ro#!$ An"onio Alumno: Univ. Docente: In#. F!$n%n&o V!$#%$% Mo'(o'o

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PROYECTO Nro. 1 VISTAS ESTEREPSCOPICAS Univ. Colq! Pin"o Ro#!$ An"onio Alumno: Univ. Docente: In#. F!$n%n&o V!$#%$% Mo'(o'o

INDICE 1. INTR INTRO ODUCC DUCCIO ION N 1.1.

CONCEPTOS DE ESTEREOSCOPIA Y SUS APLICACIONES

1.$.

ESTEREOSCOPIA ESTEREO SCOPIA NATURAL Y ARTIFICIAL

1.%.

METODOS DE OSERVACION ESTEREOSCOPICA

1.#.

PARALAJE SU DEFINICION Y CLASIFICACION

1.&.

ELEMENTOS DE VISION ESTEREOSCOPICA

$. O'(ETIVO IVOS $.1.

OJETIVO GENERAL

$.$.

OJETIVO ESPECIFICO

%. E)UI E)UIPO PO Y MATE MATERI RIAL AL %.1.

ESTEREOSCOPIO DE OLSILLO

%.$.

CAMARA FOTOGRAFICA

%.%.

ANAGLIFOS

#. PROC PROCED EDIM IMIE IENT NTOS OS #.1.

DETERMINACION DE LA ASE ESTEREOSCOPICA

#.$.

CONSTRUCCION DE ESTEREOGRAMAS

#.%.

CONFECCION DE ANAGLIFOS

&. CALCUL CALCULOS OS Y RESUL RESULT TADOS ADOS &.1.

PLANILLA DE CALCULO DE PARALAJES

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VISTAS VISTAS ESTEREOSCOPICAS *. ESTEREOGRAMAS +. ANAGLIFOS

. CONCLU CONCLUCIO CIONES NES Y RECO RECOMEN MENDAC DACIONE IONES S ,. CUESTIO ION NARO -. 'I' I'LI LIO ORA" RA"IA IA ~

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PROYECTO Nro. 1 VISTAS ESTEREPSCOPICAS Alumno: Univ. Colq! Pin"o Ro#!$ An"onio Docente: In#. F!$n%n&o V!$#%$% Mo'(o'o

1. INTRODUCCION 1.1. CONCEPTOS DE ESTEREOSCOPIA Y SUS APLICACIONES L% E'"!$!o'(o-@% !' l% (%-%(i&%& &! -o&!$ o0'!$v%$ lo' o0;!"o' q! "!$(!$% &i/!n'i>n. L% o0'!$v%(i>n !n $!li!v! '! lo#$% !n l% vi&% $!%l -o$ l% vi'i>n 'i/l"4n!% &! lo' o0;!"o' &!'&! &i'"in"o 4n#lo: !l q! (o$$!'-on&! % (%&% o;o: < ' (oo$&in%(i>n /!n"%l. G$%(i%' % !'"% &o0l! vi'i>n: -o&!/o' %-$!(i%$ l%' &i'"%n(i%': !'-!'o$!': -$o=n&i&%&!': !' &!(i$: "o&%' %q!ll%' /%#ni"&!' "$i&i/!n'ion%l!' &! lo' o0;!"o'. D!n"$o lo q! !' l% In#!ni!$@% Civil !'"% -$o-i!&%& no' 'i$v! &! /(8o: <% q! #$%(i%' % !ll% < (on l% %<&% &! n in'"$/!n"o !'-!(i%l 6!'"!$!o'(o-io7 -o&$!/o' o0'!$v%$ !n &o' =o"o#$%=@%' 'i/l"4n!%' "o/%&%' 'o0$! !l /i'/o l#%$ 6-!$o &!'&! &i=!$!n"!' 4n#lo'7 % lo' o0;!"o' q! '! 8%ll%n i/-$!'%' !n l%' /i'/%' !n "$!' &i/!n'ion!'. D! !'"% /%n!$% -o&!/o' !vi"%$ n!'"$% -$!'!n(i% !n %q!llo' l#%$!' % '!$ =o"o#$%=i%&o' -%$% -o&!$ $!%li?%$ !'"&io' (%li"%"ivo' < (%n"i"%"ivo' &!l l#%$: lo' (%l!' no' -!$/i"i$4n %-$!(i%$ &! n% =o$/% %-$oi/%&% l%' (%$%("!$@'"i(%' &! lo' o0;!"o' % '!$ =o"o#$%=i%&o'.

1.2. ESTEREOSCOPIA NATURAL Y ARTIFICIAL 1.2.1. ESTEREOSCOPIA NATURAL

L% !'"!$!o'(o-i% n%"$%l: !' 04'i(%/!n"! l% -!$(!-(i>n &! n!'"$o' o;o' &!'&! !l /o/!n"o !n q! n%(!/o': l% =o$/% /4' '!n(ill% &! ($!%$ !n !l (!$!0$o l% -!$(!-(i>n &! -$o=n&i&%& !' -$o-o$(ion%n&o % lo' o;o' &!l !'-!("%&o$ &o' i/4#!n!' &i=!$!n"!': q! $!-$!'!n"%n &o' -!$'-!("iv%' &!l /i'/o o0;!"o: (on l% -!q!B% &!'vi%(i>n o &i'"%n(i% q! !i'"! !n"$! lo' o;o' L% $%?>n -o$ l% (%l: !l '!$ 8/%no !' (%-%? &! -!$(i0i$: % "$%v' &!l '!n"i&o &! l% vi'"%: l% '!n'%(i>n &! $!li!v! &! lo' o0;!"o': !'"4 0%'%&o !n &o' =!n>/!no'. El -$i/!$ =!n>/!no !' l% !-!$i!n(i%: /!&i%n"! !l (%l !l 8o/0$! !' (%-%? &! o$&!n%$ n -%i'%;!: 'i"%n&o !n &i'"in"o' -l%no' &! -$o=n&i&%&: lo' !l!/!n"o' q! in"!#$%n '"!. Co/o '!$ 4$0ol!' q! '%0!/o' q! -o'!!n %l"$%' 'i/il%$!': lo' o$&!n%$!/o' -oni!n&o !n -l%no' /4' (!$(% &! no'o"$o' % lo' q! v!/o' /4' #$%n&!': < !n -l%no' /4' &i'"%n"!' % lo' q! v!%/o' &! /!no$ "%/%Bo. El '!#n&o =!n>/!no !' l% &i=!$!n(i% !n"$! l%' i/4#!n!' (%-"%&%' -o$ (%&% no &! n!'"$o' o;o'. E'"% (%-"%(i>n &!l $!li!v!: !' n -$o(!'o -'i(o=i'iol>#i(o !n !l q! in"!$vi!n!n: "%n"o !l o;o (o/o !l (!$!0$o: !'"! -$o(!'o !' (ono(i&o (o/o vi'i>n !'"!$!o'(>-i(%.

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1.2.2. ESTEREOSCOPIA NATURAL

L% !'"!$!o'(o-i% %$"i=i(i%l: o0!&!(! l% l!< 04'i(% &! l% !'"!$!o'(o-i% q! !' (%&% o;o &!0! o0'!$v%$ n% i/%#!n li#!$%/!n"! &i=!$!n"!: q! -!&!n '!$ "o/%&%' !n =o$/% (onv!ni!n"!: /!&i%n"! (i!$"o' in'"$/!n"o' < "(ni(%'. P%$% l% !'"!$!o'(o-i% %$"i=i(i%l: Ei'"!n "$!' =o$/%' &! ($!%$ !l !=!("o "$i&i/!n'ion%l: !n 0%'! % lo' !;!' &! (onv!$#!n(i% &! l% vi'i>n: (l%'i=i(4n&o'! !n) 

E;!' ($?%&o'

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1.3. METODOS DE OBSERVACION ESTEREOSCOPICA P%$% lo#$%$ n% vi'i>n !'"!$!o'(>-i(% !i'"!n &i'"in"o' /"o&o': lo' (%l!' 'on %-li(%0l!' !n (%&% (%'o '!#n !l o-!$%&o$ v!% l% =o$/% /4' (onv!ni!n"! &! '%$l%. Lo' /"o&o' /4' '%&o' 'on lo' 'i#i!n"!') 1.3.1. EJES PARALELOS

E'"% /o&%li&%& !' l% /4' "ili?%&% %("%l/!n"!: "%n"o !n lo' !'"!$!o'(o-io' (o/o !n l% /%n: < !n l% (%l l% >-"i(% o0li#% % lo' o;o' % /%n"!n!$ lo' !;!' &! l% vi'i>n -%$%l!lo' !n"$! 'i. S! 8%n &i'!B%&o &o' "i-o' &! !'"!$!o'(o-io': !l !'"!$!o'(o-io &! 0ol'illo < !l !'"!$!o'(o-io &! !'-!;o': !'"! /"o&o '!l! -$!'!n"%$ (%n'%n(io !n lo' o;o' -o$ q! o0li#% % q! lo' o;o' '! /%n"!n#%n -%$%l!lo': o '!% (onv!$#!n !n !l in=ini"o.

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1.3.2. EJES PARALELOS

En !'"! (%'o l% !'"!$!o'(o-i% '! (on'i#! -o$ /!&io' q! "$%n'/i"!n % (%&% o;o ' $!'-!("iv% i/%#!n: i/-i&i!n&o l% vi'%li?%(i>n &! l% o"$% i/%#!n.

1.3.3. EJES CRUZADOS

L% o0'!$v%(i>n /!&i%n"! !;!' ($?%&o': (on'i'"! !n /i$%$ (on !l o;o &!$!(8o l% =o"o#$%=@% i?qi!$&% < (on !l o;o i?qi!$&o l% =o"o#$%=@% &!$!(8%. P%$% -o&!$ &o/in%$ !'"% "(ni(% -o&!/o' %<&%$no' (on n l4-i?: q! !'"! 'i"%&o !n"$! n!'"$o' o;o' < l%' i/4#!n!': !'"! /"o&o &!0! "ili?%$'! (on i/4#!n!' &! &i/!n'ion!' /%
1.4. PARALAJE SU DEFINICION Y CLASIFICACION P%$%l%;! !' !l (%/0io &! -o'i(i>n &! l% i/%#!n &! n /i'/o -n"o !n &o' =o"o#$%=@%': -$o&(i&o -o$ !l (%/0io &! -o'i(i>n &! l% (4/%$%. D! /%n!$% "%l: q! -n"o' &! i#%l -%$%l%;! (o$$!'-on&!n % -n"o' &! i#%l %l"$% o !l!v%(i>n. El />&lo &! v%$i%(i>n &!l -%$%l%;! '! !'"%0l!(! !n l% -$4("i(% !n P H ,.,,1 //. 1.4.1. PARALAJE VERTICAL

S! &!0! % l% "o/% &! =o"o#$%=@%' o i/4#!n!' % &i'"in"%' %l"$%'.

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L% i/%#!n % &!l -n"o &!l "!$$!no A: '! !n(!n"$% !n !l 0o$&! &!l =o"o#$%/% !n l% !-o'i(i>n1: !n l% 2 ' i/%#!n % '! !n(!n"$% !n ' -%$"! (!n"$%l. E'"! &!'-l%?%/i!n"o &! l% i/%#!n '! (ono(! (o/o -%$%l%;!. 1.4.2. PARALAJE HORIZONTAL

S! &!0! % l% "o/% &! =o"o#$%=@%' o i/4#!n!' &! &i'"in"%' -o'i(ion!' -!$o % l% /i'/% %l"$%.

1.5. ELEMENTOS DE VISION ESTEREOSCOPICA 1.5.1. ESTEROGRAMAS

Un !'"!$!o#$%/% !' l% $!-$!'!n"%(i>n &! &o' #$4=i(o': &! /%n!$% "%l: q! vi'"o' lo' /i'/o' (on n !'"!$!o'(o-io: no' &% l% '!n'%(i>n &! l% "!$(!$% &i/!n'i>n. Lo' !'"!$!o#$%/%' '! &!0!n (on'"$i$ !n =n(i>n &! l%' &i=!$!n(i%' &! -%$%l%;!: &! "%l /%n!$% q! "!ni!n&o &o' !;!' -%$%l!lo' % n% &i'"%n(i% &! /4' o /!no' , //K < "ili?%n&o n !'"!$!o'(o-io '! v! q! l%' l@n!%' '! ='ion%n !n n% 'ol%: !n 0%'! % !'"%' &o' l@n!%' '! &i0;%$%n =i#$%' i&n"i(%': /!&i%n"! &!'-l%?%/i!n"o' "%n"o -o'i"ivo' (o/o n!#%"ivo' 'o0$! '' !;!': %0'(i'%': !"(.

(X1)

(-) (+)

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!' -o'i"ivo: !n"on(!' !l -n"o o v$"i(! &!'-l%?%&o !'"% !n !l!v%(i>n

Si

!' n!#%"ivo: !n"on(!' !l -n"o o v$"i(! &!'-l%?%&o !'"% !n &!-$!'i>n

1.5.2. ESTEROFOTOS

4'i(%/!n"! "i!n! !l /i'/o (on(!-"o: -o$q! '! "i!n! &o' i/4#!n!' &! n /i'/o o0;!"o: -!$o (on &i'"in"o' 4n#lo' &! !n=oq!: -%$% q! (on %<&% &! n !'"!$!o'(o-io &! 0ol'illo o &! !'-!;o' -o&%/o' %-$!(i%$ !l o0;!"o !n D. O0vi%/!n"! %l '!$ =o"o#$%=@%' "o/%&%' &!'&! n% (4/%$%: lo' o0;!"o' -!&!n v%$i%$ &!'&! !l /i'/o -%i'%;!: -!$'on%': !&i=i(io': -!n"!': < "o&o o0;!"o (on !l (%l -o&%/o' '%(%$ %&!(%&%/!n"! l%' =o"o#$%=@%'. 1.5.3. ANAGLIFOS

L%' i/4#!n!' &! %n%#li=o o %n%#li=o' 'on i/4#!n!' &! &o' &i/!n'ion!' (%-%(!' &! -$ovo(%$ n !=!("o "$i&i/!n'ion%l: (%n&o '! v!n (on l!n"!' !'-!(i%l!'. L%' i/4#!n!' &! %n%#li=o '! (o/-on!n &! &o' (%-%' &! (olo$: '-!$-!'"%' -!$o /ovi&%' li#!$%/!n"! n% $!'-!("o % l% o"$% -%$% -$o&(i$ !l !=!("o &! -$o=n&i&%&. U'%l/!n"!: !l o0;!"o -$in(i-%l !'"4 !n !l (!n"$o: /i!n"$%' q! lo &! %l$!&!&o$ < !l =on&o !'"4 /ovi&o l%"!$%l/!n"! !n &i$!((ion!' o-!'"%'. L% i/%#!n (on"i!n! &o' i/4#!n!' =il"$%&%' -o$ (olo$: n% -%$% (%&% o;o. C%n&o '! v! % "$%v' &! l%' G%=%' %n%#li=o: '! $!v!l%$4 n% i/%#!n "$i&i/!n'ion%l. L% (o$"!?% vi'%l &!l (!$!0$o ='ion% !'"o &!n"$o &! l% -!$(!-(i>n &! n% !'(!n% (on -$o=n&i&%&.

2. OBJETIVOS 2.1. OBJETIVO GENERAL En l% -$4("i(% q! no' "o(% ll!v%$ !n !'"% o(%'i>n: !' -$i/o$&i%l: -o$ '!$ l% 0%'! &! l% =o"o#$%/!"$@%: !l (ono(i/i!n"o &! l% vi'i>n !'"!$!o'(>-i(%. Po$ !'"% $%?>n !l o0;!"ivo #!n!$%l &! !'"! -$o-i(%'.

2.2. OBJETIVO ESPECIFICO P%$% -o&!$ %-$!(i%$ l%' =o"o' %$!%' !n D: !' n!(!'%$io (ono(!$ l% "ili?%(i>n &! lo' &i=!$!n"!' in'"$/!n"o' -%$% !'"! =in. Po$ !'o !l o0;!"ivo -$in(i-%l &! !'"! -$o-i(%'. ~

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3. EQUIPO Y MATERIAL 3.1.

ESTEREOSCOPIO DE BOLSILLO Do"%&o -o$ l% (%$$!$% &! in#!ni!$@% (ivil: /%$(% C%$l !i''

3.2.

CAMARA FOTOGRAFICA L% (4/%$% "ili?%&% -%$% '%(%$ l%' =o"o' &! lo' !&i=i(io' =!) Nion Cool-i E2,,: l% (%l "i!n! l%' 'i#i!n"!' (%$%("!$@'"i(%')

3.3.



3.2 M!#% -@!l!'



Di'"%n(i% =o(%l &! 1.9 //

ANAGLIFOS

D! ($!%(i>n -$o-i% /!&i%n"! !l -$o#$%/% An%#l<-8 M%!$ : lo' /o&!lo' '! !n(!n"$%n !n !l CD < !l %n4#li=o %&;n"o %l -$o
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4. PROCEDIMIENTOS 4.1. DETERMINACION DE LA BASE ESTEREOSCOPICA L%

0%'!

!'"!$!o'(>-i(%

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"$%?%n&o

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l@n!%'

-%$%l!l%'

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%-$oi/%&%/!n"! , //. L% &i'"%n(i% in"!$--il%$ &! lo' 8/%no' !' &! , % 3, //. Un% v!? "$%?%&%' l%' l@n!%': ini(i%l/!n"! % , // &! &i'"%n(i%: &!0!/o' -on!$ !l !'"!$!o'(o-io 'o0$! l% /i'/%: < %l v!$ -o$ lo' l!n"!' l%' l@n!%' &!0!n =n&i$'! !n n% 'ol%: 'i no o($$! !'"o: !n"on(!' &!0!/o' 0'(%$ % q! &i'"%n(i% l%' l@n!%' ll!#%n % (on=n&i$'!: (%n&o '! ll!#! % !'"! =in !'! '!$4 l% 0%'! !'"!$!o'(>-i(%.

4.2. CONSTRUCCION DE ESTEREOGRAMAS D!'-' &! 8%0!$ 8%ll%&o l% 0%'! !'"!$!o#$4=i(%: lo 'i#i!n"! '!$4 $!%li?%$ lo' !'"!$!o#$%/%'. Lo' !'"!$!o#$%/%' 'on &o' i/4#!n!' q! v%$@%n li#!$%/!n"! !l 4n#lo &! -!$(!-(i>n. P%$% "!n!$ l% '!#$i&%& &! q! '!$4 -!$(!-"i0l! l% vi'i>n D: &!0!/o' $!(o$$!$ lo' -n"o' n!(!'%$io' no /%' &!  //. I&!%l/!n"! 2 //. El -%$%l%;! &! lo' !'"!$!o#$%/%' '!$4n (%l(l%&o' % &!"%ll%&%/!n"! -%$% i&!n"i=i(%$ q! -n"o' '! !l!v%n < (%l!' '! &!-$i/!n.

4.3. CONFECCION DE ANAGLIFOS L%' i/4#!n!' -%$% -o&!$ %-$!(i%$'! (on lo' %n4#li=o' '! $!%li?%n !n 0%'! % n So="%$! !'-!(i%li?%&o !n !l /%n!;o < !&i(i>n &! i/4#!n!': (o/o !l POTOSOP: "%/0in '! -!&! "ili?%$ !l An%#l<-8 M%!$ q! !' n -$o#$%/% /4' !'-!(i%li?%&o: %&!/4' !' /4' $4-i&o. P%$% -o&!$ o0'!$v%$ !'"%' i/4#!n!' '%/o' l!n"!' %n4#li=o' lo' (%l!' '! lo' -!&! (on'!#i$ !n /(8%' "i!n&%' &! vi&!o <+o -!l@(l%')

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5. CALCULOS Y RESULTADOS 5.1. PLANILLA DE CALCULO DE PARALAJES Nº

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VISTAS ESTEREOSCOPICAS a. ESTEREOGRAMAS P%$% l% (on=!((i>n &! lo' !'"!$!o#$%/%' '! $!%li?o (on n% &i'"%n(i% =o(%l &! 55//K

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ANAGLIFOS P%$% lo' %n4#li=o' '! "ili?o !l -$o#$%/% An%#l<-8 M%!$: &! %(!$&o %l 'o$"!o l%' =o"o' "o/%&%' =!$on &! -!n"!'.

PUENTE 1 (Para!"#

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PUENTE 2 (Para!"#

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. CONCLUCIONES Y RECOMENDACIONES .1. CONCLUCIONES 

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S%0!/o' q! !l 8o/0$! "i!n! n% vi'i>n !'"!$!o'(>-i(% n%"$%l: q! l! -!$/i"! in"!$-$!"%$ !l !n"o$no "$i&i/!n'ion%l q! l! $o&!%. G$%(i%' % lo' (ono(i/i!n"o' i/-l%n"%&o' !n (4"!&$% no 80o -$o0l!/%' %l (on'"$i$ lo' !'"!$!o#$%/%' &!"!$/in%n&o -$i/!$o l% 0%'! !'"!$!o'(>-i(% q! !n !'"! (%'o '!$i% l% &i'"%n(i% in"!$--il%$. En (%n"o % l% (on=!((i>n &! lo' !'"!$!o=o"o' '! (/-li> (on l%' (on&i(ion!' q! '! no' in&i(o. En lo' %n4#li=o' 'i 80o %l#no' in(onv!ni!n"!' (on !l -$o#$%/% %l (on'"$i$lo'. Con (%&% n% &! l%' %n"!$io$!' =o$/%' &! !'"!$!o'(o-i% %$"i=i(i%l '! -&o lo#$%$ l%' vi'ion!' !'"!$!o'(>-i(%'. En l%' vi'ion!' !'"!$!o'(>-i(%' %l "!n!$ vi'i>n 0ino(l%$ o'! v!$ i/4#!n!' !n D '! -&o &i=!$!n(i%$ !n"$! -$o=n&i&%& < %l"$%.

.2. RECOMENDACIONES 

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Si!/-$! v!$i=i(%$ q! l%' =o"o#$%=@%' !'"n !n !l o$&!n (o $$!("o: !' &!(i$ q! l% =o"o#$%=@% q! (o$$!'-on&% %l o;o i?qi!$&o '! !n(!n"$! % l% i?qi!$&% &!l !'"!$!o'(o-io: < q! l% =o"o &!$!(8% '! !n(!n"$! % l% &!$!(8% &!l !'"!$!o'(o-io. T$%"%$ &! q! %l '%(%$ l%' =o"o#$%=@%' !i'"% !l -%$%l%;! !n"$! !l o0;!"o < l% (4/%$%: 'i !' -o'i0l! "ili?%$ n "$@-o&!. T$%"%$ &! q! !n lo' !'"!$!o#$%/%' no 8%<% /(8% &!'vi%(i>n: no /4' &! "$!' /il@/!"$o'. En l% (on'"$((i>n &! l%' #%=%' %n%#l@=i(%': "$%"%$ &! '%$ &o0l! -%-!l (!lo=4n -%$% (%&% l!n"!: <% q! !l (!lo=4n (o/n !' /< &!l#%&o &! -o(o (olo$. P%$% l% ($!%(i>n &! lo' %n4#li=o': "$%"%$ &! 0'(%$ l% -o'i(i>n %&!(%&%: !'-!(i%l/!n"! i#%l%$ l%' i/4#!n!' 'o0$! !l !;! v!$"i(%l.

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CUESTIONARIO .3. )CUAL ES LA APLICACI*N DE LA APLICACI*N DE LA FOTOGRAMETRIA TERRESTRE EN LA INGENIERIA CIVIL+ L% =o"o#$%/!"$@% "!$$!'"$! !' #!n!$%l/!n"! '%&% !n %$qi"!("$% -%$% !l /%n"!ni/i!n"o < $!'"i"(i>n &! /on/!n"o': !&i=i(%(ion!' 8i'"o$i%': !&i=i(%(ion!' %$q!ol>#i(%'. Sin !/0%$#o !'"! /"o&o -!&! '!$ "ili?%&o !n l% in#!ni!$@% (ivil -%$% !l /%n"!ni/i!n"o: ($!%$ o0$%' 'i/il%$!' % o"$%' /!&i%n"! l% "o/% &! &%"o' &! l%' =o"o' (o/o '!$) lon#i"&: -$o=n&i&%&: %l"$%.

.4. )QUE SON LAS IM,GENES DE VISION CRU-ADA+ L% o0'!$v%(i>n /!&i%n"! !;!' ($?%&o': (on'i'"! !n /i$%$ (on !l o;o &!$!(8o l% =o"o#$%=@% i?qi!$&% < (on !l o;o i?qi!$&o l% =o"o#$%=@% &!$!(8%. P%$% -o&!$ &o/in%$ !'"% "(ni(% -o&!/o' %<&%$no' (on n l4-i?: q! !'"! 'i"%&o !n"$! n!'"$o' o;o' < l%' i/4#!n!': !'"! /"o&o &!0! "ili?%$'! (on i/4#!n!' &! &i/!n'ion!' /%
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. BIBLIOGRAFIA 

8""-)++!'.ii-!&i%.o$#+ii+!'"!$!o#$%/%

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8""-)++!'.ii-!&i%.o$#+ii+!'"!$!o=o"o



8""-)++!'.ii-!&i%.o$#+ii+=o"o#$%/!"$i%



8""-)++'%$io'.%$'<'"!l.(o/+li'/%$q!'+&o(/!n"%(ion+l%"!(ni(%!'"!$!o'(o-i(%



8""-)++.%lon'o=o$/l%.(o/+=o"o'&



8""-)++.'"!$!o#$%-8i('.(o/+'--o$"+&onlo%&'Q'--o$"+8%n&0oo.-&=



FOTOGRAMETRIA ASICA: Li' J4$!#i: C%-i"lo 5 -%$%l%;!



APUNTES DE FOTOGRAMETRIA: In#. F!$n%n&o V!$#%$% Mo'(o'o 2,1,

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CONCEPTOS Y DEFINICIONES: A. Do(. Jo$#! Molin% G%lv4n

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