Sorry, my mind jumped to the physics, and I should have said
"in the limit of an infinite board."
Cheers,
David
On 21, Feb 2007, at 2:43 AM, Jacques Basaldúa wrote:
David Doshay wrote (on behalf of the 3x3 block of pixels applied
repeatedly):
> But if done all the way to just one pixel it will show the winner.
Shouldn't that require some kind of error propagation? In dithering
techniques, you count the error produced, because it is not the same
to count a 8 bl : 1wh as black than to count 5 bl : 4 wh as black. In
the first case the error is 1/9 while in the second it is 4/9. These
errors are propagated forward to the "uncounted" pixels. This way
the global error is forced to be 0 (except for the last pixels
processed).
Otherwise, the global error should have a standard deviation
proportional to sqrt(boardsize^2) = boardsize.
Jacques.
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