Research Studies Press / John Wiley, Baldock (2000) 2914303. 13. Lim, J.S.: Two4Dimensional Signal and Image Processing. Prentice4Hall, New Jersey.
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N − 1, if i = 0 $ = cos ( i ) − 1, if i is even (≠ 0) ∑ k k =1 0, if i is odd
N −1
=2(($ ?;$ U − ζ i V,$ ;0&/%5$
A = 12 [ A = 12 [
( −1)i − ζ i ζ −1 i
+
1 − (−1)i ζ i
− 1 − ζi + 1 + ζi ζi − 1
ζ
−i
−1
]. $ OK&2&+,$0:$05$N(550?/&$:($%&$F$?&/(["$ O&(2&>+$ F$ UOK&$ 071&250(7$ )/+VI$ OK&$ 071&25&$ 88W#O$ ($%&+;$[20:&$
gi = [K06K$05$:K&$5+>&$+5$$
$
1 N
N −1
N −1
k =0
r =0
∑ β k [ ∑ 2 f r cos k ( 2r2+1 )] cos k ( 2i2+1 ) ,$
gi =
2 N
N −1
N −1
r =0
k =0
∑ f r [ ∑ β k cos k ( 2r2+1 ) cos k ( 2i2+1 )] "$
9507Q$:K&$+%%0:0(7$($:K&$S@6(5$/&>>+$+7%$(?5&2107Q$:K+:$U8"0eFV$05$&1&7$[K&7&1&2$U870V$05$(%%$+7%$ 106&@1&25+,$:K&$&1+/)+:0(7$(N/&$FI$8(2$!-d$_F,$:K&$&/&>&7:$ζ$$d$UBe'F_V$∈$ThU_FV$K+5$(2%&2$$U!eFVXY$d$F`"$ OK&$88W#O$(+:20P,$[K06K$05$&a)+/$:($ {β k cosk ( 2i +1 )} ,$0=-3-d$D,$F,""",$B,$05$Q01&7$?;$$ N
M −1k ,i
2 2 2 2 = 2 2 2 2
2
23 28 20 16 20 10 18 15 9 13
9 8
21 8 15 13 3 22 16 20
18 3 9 16 11 22 21 23 15 18 11 10 13 15 23 8 28 11 16 22
10 13 3 22 28 20 21 8 "$ 21 23 28 11 3 9 10 18
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$
>+:206&5"$ R7$ &7:5$ (+:206&5$ +2&$ 2&/+:&%$ ?;$ ( 2 − 1 mod p ) m k , i , if k = 0 "$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!$ m i−, 1k = m k , i , if k ≠ 0
82(>$+$N2+6:06+/$N(07:$(N(2:+7:$0/;$(&7:$ ζ$ 05$ )5&%$ :($ %&+7;$ %&N&//($%&$'()*+,$3"!"I$'N2&+%@'N&6:2)>$H+5&%$$ (7$ 8070:&$ 80&/%$ 8()20&2$ O2+755"$ =2(6"$ (5$ A7Q07&&207Q,$#(>>)706+:0(7$+7%$R7+:0(7$O&6K7(/(Q;"$4(/"$F"$=)7:+$Z2&7+5$UYDDFV"$ FY"$%&$./01&02+,$-"!",$#+>N&//($%&$'()*+,$3"!"I$.2:K(Q(7+/$!)/:0/&1&/$'N2&+%07Q$'&a)&76&$ W&50Q7"$ R7I$ 8+22&//,$ ="T",$ W+27&//,$ !",$ -(7+2;,$ H"$ U&%5VI$ #(%07Q,$ #(>>)706+:0(75$ +7%$ H2(+%6+5:07Q"$$3&5&+26K$':)%0&5$=2&55$X$b(K7$m0/&;,$H+/%(6S$UYDDDV$YGF@_D_$ F_"$ h0>,$ b"'"I$ O[(@W0>&750(7+/$ '0Q7+/$ +7%$ R>+Q&$ =2(6&5507Q"$ =2&7:06&@-+//,$ l&[$ b&25&;$ UFGGDV$ Fc"$H)2:(7,$W"!"I$A/&>&7:+2;$l)>?&2$OK&(2;"$!6T2+[$-0//,$l&[$o(2S$UFGGBV$ FE"$ H/+K):,$ 3"A"I$ 8+5:$ Z/Q(20:K>5$ N/&P$-+2:/&;$O2+75$(1&2$+$8070:&$ 80&/%"$ R7I$ 8+22&//,$ ="T",$ W+27&//,$ !",$ -(7+2;,$ H"$ U&%5VI$ #(%07Q,$ #(>>)706+:0(75$ +7%$ H2(+%6+5:07Q"$$3&5&+26K$':)%0&5$=2&55$X$b(K7$m0/&;,$H+/%(6S$UYDDDV$Y`B@YB`$ FB"$#+>N&//($%&$'()*+,$3"!",$%&$./01&02+,$-"!",$#+>N&//($%&$'()*+,$!"!"I$-+2:/&;$l)>?&2@ OK&(2&:06$ O2+755"$ =2(6&&%07Q5$ (