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Having a point cloud say (10000 points) which are randomly dispersed in 3D unit cube, the question is how to find planes within the cube that include more points with an acceptable tolerance (user choice say, 0.1 where the boundaries of the cube of point cloud are ([0,1],[0,1],[0,1])?
I thought since it is a geometry problem would be asked here, however your comments are more than welcome!

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    @PeterSheldrick, Thanks for a series of keywords. Indeed, I had already used similar method for the pro$b$lem with success without knowing RANSAC. The ide$a$ $b$ehind the question is however to explore a variety of methods with different ba$c$kground in mathemati$c$s or im$p$lementation.2011-11-03

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