Recognition of blurred pieces of discrete planes

L Provot, L Buzer, I Debled-Rennesson - Discrete Geometry for Computer …, 2006 - Springer
Discrete Geometry for Computer Imagery: 13th International Conference, DGCI …, 2006Springer
We introduce a new discrete primitive, the blurred piece of a discrete plane, which relies on
the arithmetic definition of discrete planes. It generalizes such planes, admitting that some
points are missing and then permits to adapt to noisy discrete data. Two recognition
algorithms of such primitives are proposed: the first one is a geometrical algorithm and
minimizes the Euclidean distance and the second one relies on linear programming and
minimizes the vertical distance.
Abstract
We introduce a new discrete primitive, the blurred piece of a discrete plane, which relies on the arithmetic definition of discrete planes. It generalizes such planes, admitting that some points are missing and then permits to adapt to noisy discrete data. Two recognition algorithms of such primitives are proposed: the first one is a geometrical algorithm and minimizes the Euclidean distance and the second one relies on linear programming and minimizes the vertical distance.
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