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680_680
1
of 49
Matlab
Exercises 4
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3.4 ■ S/atia =it
This e6uation is evauated for a vaues of the dis%lacement variabes * variabes * and and & & so that a eem visit every /i9e in f in f , &hich &e assume has been /added a//ro/riatey. %onstants %onstants a and ( are !iv :m / 2; ) and ( = :n / 2; ). =or notationa convenience, &e assume that m and n are odd inte!ers. In a simiar manner, the convoution of &: * * &, &, ; and ; and f f * &: & : , ;, ; , denoted by &: * * &, &, ;8 f * &: &: , ; the e9/ression a
&: * * &, &, ;8 f * &: &: , ; =
(
:: &: s s t f
*, *, ; : / s &, &, / t ; s=/a t =/(
&here the minus si!ns on the ri!ht of the e6uation fi/ f :i.e., :i.e., rotate it by 25*B;. ?otatin! and shif instead of & is done to sim/ify the notation. The resut is the same. 2 The terms in the summation same as for correation. The toobo9 im/ements inear s/atia fiterin! usin! function imfiter , &hich has the foo&in ! C imfiter:f, &, fiterin!mode, boundaryo/tions, si
&heree f is the in/ut &her in/ut ima!e, ima!e, & is the fiter fiter mask, mask, ! is the fitered resut, and the other /aram summari
This synta9 is used &hen im/ementin! standard inear s/atia fiters in the toobo9. These fite are discussed in Section -.7.2, are /rerotated by 25*^, so &e can use the correatio correation n defaut in imfiter :from the discussion of =i!. -.27, &e Read Free Foron 30this Days Sign up to vote title ori!i /erformin! correation &ith a rotated fiter is the same as /erformin! convoution &ith the Useful Not useful Cancel anytime. If the fiter is symmetric about its center, then both o/tions /roduce the same resut.
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