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- W2045095325 abstract "Computing the Minkowski sum of two arbitrary polyhedra in R3 is difficult because of high combinatorial complexity. We present an algorithm for directly computing a voxelization of the Minkowski sum of two closed watertight input polyhedra for applications such as path planning that do not require a boundary representation as output. We introduce a new decomposition formula for computing the Minkowski sum and prove its correctness. We describe an efficient Graphics Processing Unit (GPU) implementation of the algorithm using stencil shadow volumes to create a solid voxelization of the Minkowski sum." @default.
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- W2045095325 date "2014-01-01" @default.
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- W2045095325 title "A sweep and translate algorithm for computing voxelized 3D Minkowski sums on the GPU" @default.
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- W2045095325 doi "https://doi.org/10.1016/j.cad.2013.08.021" @default.
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