pieper / cvg

constructive volume geometry tool
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objects as closed set #16

Closed bebbi closed 9 years ago

bebbi commented 9 years ago

is it ok to represent all bounded expressions as closed sets? (s/</<=/) Main reason: while introducing "cut by plane", if cut a box at plane at origin, I should have a rectangle rather than empty set Aside, with a improved/"binary" mc function, closed sets would seem to better represent measurements in finite resolution.

pieper commented 9 years ago

By the way whenever this comes up we should be left-closed and right-open (i.e. consider the binary representation of the coordinate where the most significant bit divides the space in half).

https://en.wikipedia.org/wiki/Interval_(mathematics) : "The interval [0,1) = {x | 0 ≤ x < 1}, for example, is left-closed and right-open."