Euler Operators for Stratified Objects with Incomplete Boundaries
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Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Stratified objects such as those found in geometry-based systems (e.g. CAD systems and animation systems) can be stepwise constructed and manipulated through Euler operators. The operators proposed in this paper extend prior operators (e.g. the Euler-Masuda operators) provided that they can process n-dimensional stratified subanalytic objects with incomplete boundaries. The subanalytic objects form the biggest closed family of geometric objects defined by analytic functions. Basically, such operators are attachment, detachment, subdivision, and coaslescence operations without a prescribed order, providing the user with significant freedom in the design and programming of geometric applications.
Description
@inproceedings{10.2312:sm.20041408,
booktitle = {Solid Modeling},
editor = {Gershon Elber and Nicholas Patrikalakis and Pere Brunet},
title = {{Euler Operators for Stratified Objects with Incomplete Boundaries}},
author = {Gomes, A. J. P.},
year = {2004},
publisher = {The Eurographics Association},
ISSN = {1811-7783},
ISBN = {3-905673-55-X},
DOI = {10.2312/sm.20041408}
}