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• W2161431722 abstract "A naive digital plane is a subset of points (x,y,z)∈Z3 verifying h⩽ax+by+cz<h+max{|a|,|b|,|c|}, where (a,b,c,h)∈Z4. Given a finite unstructured subset of Z3, the problem of the digital plane recognition is to determine whether there exists a naive digital plane containing it. This question is rather classical in the field of digital geometry (also called discrete geometry). We suggest in this paper a new algorithm to solve it. Its asymptotic complexity is bounded by O(n7) but its behavior seems to be linear in practice. It uses an original strategy of optimization in a set of triangular facets (triangles). The code is short and elementary (less than 300 lines) and available on http://www.loria.fr/∼debled/plane." @default.
• W2161431722 created "2016-06-24" @default.
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• W2161431722 date "2005-10-01" @default.
• W2161431722 modified "2023-10-17" @default.
• W2161431722 title "An elementary digital plane recognition algorithm" @default.
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• W2161431722 doi "https://doi.org/10.1016/j.dam.2005.02.026" @default.
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