Determine the matrix in homogeneous fonn that produced the image of the semicircle
Chapter 6, Problem 11(choose chapter or problem)
Determine the matrix in homogeneous fonn that produced the image of the semicircle depicted in the following figure: Original fi gure '-'---'---"'--'~'---T , , ---'--' 3 --t--t--t-- --{--{--{--- , 1 1 1 1 1 2 --f--t--t-- ~~ ~~~ --r--,--T-- 1 'I 1 1 1 o f---i'---,' ---,-' --+--,' ---,-' --,', - 1 1 1 1 1 , 'I ,I 1 -I - _1- __ 1- __ +- ____ .. __ -1 __ -1 __ _ 1 'I 1 1 1 1 1 1 1 1 1 - 2 __ 1- __ 1- __ .... ____ ~ __ -I __ -I __ _ 1 1 1 1 1 __ 1 1- __ 1-1 __ 1-1 ____ ~ 'I' __ -I __ .l __ _ 1 'I 1 1 1 - 3 1 1 1 1 1 1 Image 4 ,--" -"" ,--,'--,, --" ---" --, 3 -- -- --+-- '_ -t--i-- 2 --~--_:.-- -- ,-- --_:.-- 1 I 1 " 1 1 1 1 I 1 1 --r---'---'--- --r-- T--'-- 1 1 1 I 1 1 "f---',-~'-- ---+---i-' -- ' ---i-' --~ 1 I 1 ' " 1 1 1 I 1 1 __ I- __ ~ __ -I _____ 1- __ + __ -1 __ 1 I 1 I 1 1 1 I I I 1 1 - 2 __ 1- __ -1 __ -1 _____ 1- __ .... __ -1 __ 1 I I I 1 1 1 I 1 I 1 1 __ L __ .l __ .l _____ I- __ ~ __ .l __ 1 I 1 I 1 - 3 1 I I I 1 J 2 o 2 3 4
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