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From Techniques for computer generated pictures in complex dynamics
Revision as of 14:52, 27 February 2014 by Arnaud Cheritat (Talk | contribs) (Topics)

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This sub-site of my webpage will host an explanation of different drawing techniques and algorithms I learnt, adapted, enhanced, or invented, to draw some objects in a few domains of mathematics, mainly 2D bitmap pictures in holomorphic dynamics, but not only.

Knowledge of complex numbers is an absolute pre-requisite.

Arnaud Cheritat (talk) 15:42, 25 February 2014 (CET)

Topics

General guidelines towards quality

Backward vs forward iteration methods

Projected topics

Coloring schemes. Personal credo: represent only necessary information.

distance estimators: variations, using outside the world of iteration (holomorphic functions, Kleinian groups), smoothing (exp), generation based partitioning

tc (C++ class)

tricks for parabolic points

tricks for Siegel disks

the abysmal monster

fake 3d via normal mapping

sample programs