Title: Book Project Post by: cKleinhuis on November 25, 2009, 02:05:07 PM I have started to write a book about the search of the mandelbulb,
i do not want to take credit for it alone, but i would like to be the editor of a book describing the search for, and history, anyone interested in joining contact me, right now i am creating a basic structure like: - introduction -- deterministic chaos --- the logistic function --- ... -- the mandelbrot -- ... -- variants --- alternating a formula -- ... - Theory -- Complex Numbers -- Quaternions - the search for and quest for 3d mandelbrot -- Why ? -- polar coordinates -- spherical coordinates - implementation details -- ray marching methods -- distance estimation --- ... --- gpu implementations --- volume rendering --- global illumination methods --- ... - outlook -- surface extraction -- benchmarking -- ... this is just a rough outline, and is open for discussion, first we should discuss about the structure of the book, and then after a structure is layed out, selected people could start to write, i would like to take care for introduction and outlook sections, for sure the book wil be filled with lots of images, but it should be as a start for people who are interested in programming fractals, and so it should also contain lots of *easy* source code O0 Title: Re: Book Project Post by: David Makin on November 25, 2009, 03:02:16 PM You can count me in - at least I can do a section on the "delta DE" method - in particular the algorithm that uses an array for storing the minimum distances on a given ray for each iteration to avoid over-stepping as that's not only necessary in delta DE but also useful in avoiding over-steppiing using analytical DE in Julia renders. Plus the "missed solid" checking that can enhance delta DE at less cost than reducing step sizes. Also I would refer to the "auto-power" correction method for iteration smoothing :)
Someone more mathematically qualified would be better regarding a description of analytical DE and its implimentation :) Title: Re: Book Project Post by: David Makin on November 25, 2009, 03:07:09 PM The mahs section should include a description of multiplication since Jos Leys' method for calculation of the derivative uses it.
The mathematical properties should be discussed too - i.e. (I think I'm correct) commutative but not associative (neither multiplication over multiplication nor multiplication over addition). Title: Re: Book Project Post by: cbuchner1 on November 28, 2009, 09:37:54 PM I have started to write a book about the search of the mandelbulb, Well it was more like a search for a 3D Mandelbrot in which the Mandelbulb was discovered by accident ;) And the search continues... Title: Re: Book Project Post by: David Makin on November 28, 2009, 10:16:25 PM I have started to write a book about the search of the mandelbulb, Well it was more like a search for a 3D Mandelbrot in which the Mandelbulb was discovered by accident ;) And the search continues... "The discovery of the Mandelbulb" would be better :) Title: Re: Book Project Post by: Paolo Bonzini on December 06, 2009, 12:02:38 PM You could place the skeleton on Wikibooks or something like that. I can help with parts of the theory. |