- Alan Kaminsky and Luke McOmber. Solving an MRI spin relaxometry problem with parallel computing. Rochester Institute of Technology Department of Computer Science Technical Report, 27-Jun-2005. (PDF, 795,673 bytes)
- MRI Spin Relaxometry.
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Here are some interesting images I've produced. Click on an image to see a larger version.
MRI Spin Relaxometry
Wolfram's Rule 30 Cellular Automaton
Wolfram's Continuous Cellular Automaton
Cube Roots of 1
Mandelbrot Set
Prime Number Function
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A depiction of the results
of a spin relaxometry analysis
of a magnetic resonance image (MRI)
of a slice through someone's brain.
The three colors highlight areas of the brain
where the atomic spins relax at certain rates.
For further information:
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The evolution of Wolfram's Rule 30 cellular automaton.
For further information:
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The evolution of Wolfram's continuous cellular automaton.
Each cell's value is a real number in the range 0.0 to 1.0.
Each cell is updated by averaging the three cells in the neighborhood,
applying a linear transformation,
and truncating the integer part of the result.
For further information:
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The basins of convergence for the three complex cube roots of 1
(1+0i, −0.5+0.87i, and −0.5−0.87i).
Each pixel's color represents the cube root of 1
to which a Newton iteration converges
starting from the pixel's location.
The basins' shapes are highly complex and, indeed, fractal.
For further information:
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The ever-popular Mandelbrot Set.
For further information:
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A graph of the prime number function π(x) = the number of primes <= x for x from 0 to 500. As x increases, π(x) jumps up by 1 whenever x is prime. The Prime Number Theorem says that for large x, π(x) is approximately equal to x / ln x. |
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