by Linjiang, Y and Klette, R
Abstract:
Relative convex hulls have been suggested for multigrid-convergent surface area estimation. Besides the existence of a convergence theorem there is no efficient algorithmic solution so far for calculating 3D relative convex hulls. This article discusses an approximative solution based on minimum-length polygon calculations. It is illustrated that this approximative calculation also proves (experimentally) to provide a multigrid convergent measurement. © 2002 IEEE.
Reference:
An approximative calculation of relative convex hulls for surface area estimation of 3D digital objects (Linjiang, Y and Klette, R), In Proceedings – International Conference on Pattern Recognition, volume 16, 2002.
Bibtex Entry:
@article{linjiang2002anobjects, author = "Linjiang, Y and Klette, R", journal = "Proceedings - International Conference on Pattern Recognition", pages = "131--134", title = "An approximative calculation of relative convex hulls for surface area estimation of 3D digital objects", volume = "16", year = "2002", abstract = "Relative convex hulls have been suggested for multigrid-convergent surface area estimation. Besides the existence of a convergence theorem there is no efficient algorithmic solution so far for calculating 3D relative convex hulls. This article discusses an approximative solution based on minimum-length polygon calculations. It is illustrated that this approximative calculation also proves (experimentally) to provide a multigrid convergent measurement. © 2002 IEEE.", issn = "1051-4651", issue = "1", keyword = "Digital geometry", keyword = "Global polyhedrization", keyword = "Relative convex hull", keyword = "Surface measurement", language = "eng", }