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Fractal Math, Chaos Theory & Research => General Discussion => Topic started by: Devke on November 15, 2010, 03:22:04 PM




Title: Help with Escher and perspective
Post by: Devke on November 15, 2010, 03:22:04 PM
I am creating some code to create an Escher like effect with perspective but I am a bit stuck, so I was hoping someone here would know. I figured out how to do the Droste effect with a basic 2x3 matrix transformation.

(http://i305.photobucket.com/albums/nn235/titanmedia/forum/transform-normal-steps.png)

But now I want to add perspective as well using a 3x3 transformation with x and y divided by z

(http://i305.photobucket.com/albums/nn235/titanmedia/forum/transform-perspective-steps.png)

How do I determine the transformation that is needed in polar coordinates to align the end and the start of the next iteration?




Title: Re: Help with Escher and perspective
Post by: jehovajah on January 21, 2011, 06:31:37 AM
I have not got a clue yet what you are on about but I am willing to help. Absolutely fascinating pics.

When you move to 3d you have more variations but since you are using matrices I guess you can explore each possibility.

Also you may need to go to 4 x 4 matrices and pull out what you want as a special case as Hamilton did with quaternions.

Get back to me with some general idea/ explanation of what it is you are playing around with.


Title: Re: Help with Escher and perspective
Post by: DarkBeam on February 09, 2011, 06:20:44 PM
Marvellous stuff. What is the formula?  :dink: