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POHow to perform Simple Zoom into Mandelbrot Set
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  1. POHow to perform Simple Zoom into Mandelbrot Set
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    copied!<p>I have a general question with the Mandelbrot set "zoom" view and the math pertaining to it. I have implemented the mandelbrot set for the 256 X 256 window size with values </p> <pre><code> // ImageWidth = ImageHeight = 256; double MinRe = -2.0; double MaxRe = 1.0; double MinIm = -1.2; double MaxIm = 1.8; ComputeMandelbrot(); </code></pre> <p>Next, I select a region of square and these are the coordinates for the upper left most tip (76,55), and rightmost bottom tip (116, 99) <strong><em>(square of side 44 is chosen)</em></strong></p> <p>so , I choose <code>x2 = x1 + 44 ; y2 = y1 + 44;</code></p> <p>How do I translate these new coordinates to the complex plane ? and how would the new real and imaginary values change in order to compute it for the new set of values ?</p> <p>This is what I have tried so far..</p> <pre><code>double Re_factor = (MaxRe-MinRe)/(ImageWidth-1); double Im_factor = (MaxIm-MinIm)/(ImageHeight-1); double newMinRe = MinRe + (Re_factor* x1); double newMaxRe = MaxRe + (Re_factor* x2); double newMinIm = MinIm + (Im_factor* y1); double newMaxIm = MaxIm + (Im_factor* y2); // and then I compute c - real and c- imag values for(unsigned y=0; y&lt;ImageHeight; ++y) { double c_im = newMaxIm - y*Im_factor; for(unsigned x=0; x&lt;ImageWidth; ++x) { double c_re = newMinRe + x*Re_factor; // ComputeMandelbrot(); } } </code></pre> <p>I am having a hard time figuring out the math, and also with regards to generating a 'zoom' view and any help is appreciated !!</p>
 

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