by Kenmochi, Y and Klette, R
Abstract:
The problem of multigrid convergent surface area measurement came with the advent of computer-based image analysis. The paper proposes a classification scheme of local and global polyhedrization approaches which allows us to classify different surface area measurement techniques with respect to the underlying polyhedrization scheme. It is shown that a local polyhedrization technique such as marching cubes is not multigrid convergent towards the true value even for elementary convex regular solids such as cubes, spheres or cylinders. The paper summarizes work on global polyhedrization techniques with experimental results pointing towards correct multigrid convergence. The class of general ellipsoids is suggested to be a test set for such multigrid convergence studies.
Reference:
Surface area estimation for digitized regular solids (Kenmochi, Y and Klette, R), In Proceedings of SPIE – The International Society for Optical Engineering, volume 4117, 2000.
Bibtex Entry:
@inproceedings{kenmochi2000surfacesolids,
author = "Kenmochi, Y and Klette, R",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",
pages = "100--111",
title = "Surface area estimation for digitized regular solids",
volume = "4117",
year = "2000",
abstract = "The problem of multigrid convergent surface area measurement came with the advent of computer-based image analysis. The paper proposes a classification scheme of local and global polyhedrization approaches which allows us to classify different surface area measurement techniques with respect to the underlying polyhedrization scheme. It is shown that a local polyhedrization technique such as marching cubes is not multigrid convergent towards the true value even for elementary convex regular solids such as cubes, spheres or cylinders. The paper summarizes work on global polyhedrization techniques with experimental results pointing towards correct multigrid convergence. The class of general ellipsoids is suggested to be a test set for such multigrid convergence studies.",
doi = "10.1117/12.404839",
issn = "0277-786X",
language = "eng",
}