Re: Arnold's Cat Map
- To: mathgroup at smc.vnet.net
- Subject: [mg5286] Re: [mg5282] Arnold's Cat Map
- From: Mark Evans <evans at gte.net>
- Date: Sat, 23 Nov 1996 01:44:31 -0500
- Organization: None
- Sender: owner-wri-mathgroup at wolfram.com
Wilson, I tried responding to your e-mail address "wfigueroa at mosquito.com" but got the message shot back at me as undeliverable. What is your actual e-mail address? The only thing I can say offhand is that projective geometry on the plane can handle shear. What you do is use projective coordinates (x,y,w) and 3 x 3 matrices to move the pixels around. Projective geometry is nice because you can compound transformations by multiplying matrices, just like linear algebra. So in principle (if your problem can be set in terms of P.G.) after you had compounded the transformation a certain number of times, the resultant would be the identity matrix. Please send details, I am interested. Mark Evans evans at gte.net