Are there mathematical methods to creating graphics?

I came across this page a long time ago Steve A Baker And he mentions how one of the images on an earlier video game he created was done using a simple adder and math.

How do you do this kind of thing? It would be really cool to create images mathematically. I have wondered 开发者_JAVA技巧(and googled) but only found descriptions about fractals. But I don't think this is a fractal. Thanks.

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Procedural image generation is well known in the demoscene community. You can refer to some of the open source demos for a variety of techniques.

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Just a quick example

Suppose you have a 200x200 RGB image, and you define each color component as follows:

 Red   = Sin[i/200]  
 Green = Tan[j/300]  
 Blue  = Sin[i j/300]

The result is:

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Evolvotron and other similar evolutionary art programs basically do nothing but randomly manipulate mathematical expressions to generate images (OK user input plays a part too, which is where the "evolution" bit comes in). Karl Sim's pioneering paper is well worth a read.

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Well, what do you mean by create images mathematically? It's pretty vague, but in order to answer your question, I'll assume you mean create images using mathematical operations on a set of pre-defined data.

That's pretty simple. Just make a pattern using a Python list or the alike:

pattern = ['o', 'o', 'o', 'o',
           'o', 'o', 'o',
           'o', 'o',
           'o']

Then create a canvas-like thing to handle inserts and operations on it's contents (like changing colors, etc.).

I'm not sure how to answer, since you question is kind of vague...

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Quite seriously, almost all of computer graphics is mathematical.

Your sample image could be done with a modulating function.

Trigonometry, linear algebra (matrices), vectors and calculus are all used in graphics.

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check Aaron.