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- W2103586167 abstract "We present a previously unpublished, topologically robust algorithm for Boolean operations on polyhedral boundary models. The algorithm can be proved always to generate a result with valid connectivity if the input shape representations have valid connectivity, irrespective of the type of arithmetic used or the extent of numerical errors in the computations or input data. The main part of the algorithm, known as the basic Boolean algorithm, is based on a series of interdependent operations. The relationship between these operations ensures a consistency in the intermediate results that guarantees correct connectivity in the final result. Either a triangle mesh or polygon mesh can be used. The algorithm described can be extended naturally to the problem of computing the overlay of two cellular subdivisions, and also to operate in higher-dimensional domains." @default.
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- W2103586167 date "2006-01-01" @default.
- W2103586167 modified "2023-09-27" @default.
- W2103586167 title "A Topologically Robust Boolean Algorithm Using Approximate Arithmetic" @default.
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