Abstract
An approximate octree representation for closed surfaces is presented, namely face octrees. Face Octrees are based on a hierarchical representation of the subdivision of the space, until either homogeneous or face nodes are reached. Face nodes contain a connected, sufficiently planar part of the surface, within a tolerance s. The face octree of a surface S defines a thick surface TS(S), union of all bands defined by face nodes, and TS(S) contains S; a band in a face node spans e to both sides of the plane n approximating S in the node. An algorithm for the generation of the octree, based on the clipping of the surface patches and a planarity test, is presented. On the other hand, algorithms are proposed for point-solid classification, line and plane intersection tests, and interference detection. Space complexity of the proposed representation is discussed, and some bounds are presented.
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© 1993 Springer-Verlag/Wien
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Brunet, P., Navazo, I., Vinacua, A. (1993). A Modelling Scheme for the Approximate Representation of Closed Surfaces. In: Farin, G., Noltemeier, H., Hagen, H., Knödel, W. (eds) Geometric Modelling. Computing Supplementum, vol 8. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6916-2_5
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DOI: https://doi.org/10.1007/978-3-7091-6916-2_5
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-82399-6
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