アーノルドの猫写像
n = 0 : T 0 ( x , y ) = Input Image ( x , y ) n = 1 : T 1 ( x , y ) = T 0 ( mod ( 2 x + y , N ) , mod ( x + y , N ) ) ⋮ n = k : T k ( x , y ) = T k − 1 ( mod ( 2 x + y , N ) , mod ( x + y , N ) ) ⋮ n = m : Output Image ( x , y ) = T m ( x , y ) {\displaystyle {\begin{array}{rrcl}n=0:\quad &T^{0}(x,y)&=&{\mbox{Input Image}}(x,y)\\n=1:\quad &T^{1}(x,y)&=&T^{0}\left({\bmod {(}}2x+y,N),{\bmod {(}}x+y,N)\right)\\&&\vdots \\n=k:\quad &T^{k}(x,y)&=&T^{k-1}\left({\bmod {(}}2x+y,N),{\bmod {(}}x+y,N)\right)\\&&\vdots \\n=m:\quad &{\mbox{Output Image}}(x,y)&=&T^{m}(x,y)\end{array}}}