Abstract
In this paper we investigate an approach of constructing a 3D digital line by taking the integer points within an offset of a certain radius of the line. Alternatively, we also investigate digital lines obtained through a “pseudo-offset” defined by a parallelepiped enclosing the integer points around the line. We show that if the offset radius (resp. side of the parallelepiped section) is greater than \(\sqrt{3}\) (resp. 2\(\sqrt{3}\)), then the digital line is at least 1-connected. Extensive experiments show that the lines obtained feature satisfactory appearance.
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Brimkov, V.E., Barneva, R.P., Brimkov, B., de Vieilleville, F. (2008). Offset Approach to Defining 3D Digital Lines. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2008. Lecture Notes in Computer Science, vol 5358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89639-5_65
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DOI: https://doi.org/10.1007/978-3-540-89639-5_65
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-89638-8
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