Could describe parameters ( idea) you use to make your video ?
There's source code linked from the blog post. Overview:
Lines 20-45 compute various key points in the Mandelbrot set (nucleus of a few components, and points on their boundary at rational internal angles).
Lines 46-72 compute a sequence Moebius transformations that map three of those points to 0,1,
- usually for warping a circle into a straight line with one of the cusps pushed to infinity.
Lines 73-98 render a longer sequence of images, interpolating between neighbouring Moebius transformations in that sequence.
There's also a new video (_2) at the archive.org page, which fixes a "jump" glitch and has ease in/out for the interpolation speed, as well as a different soundtrack. No public source code yet, the key difference in the interpolation is this:
=f\exp(t\log(f^{-1} g) ))
=\exp((1 - t) \log(f g^{-1}))g)
for
for
The new
reduced the jump glitch, then I added a hack to elimate the glitch by using
explicitly for the whole of one particular segment. Theoretically they should be equal, but I guess some rounding errors crept in somewhere.
January 25, 2007, 12:52:48 AM
Dilber MC Theme by HarzeM