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Robust interval solid modelling .1. Representations
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DOI：10.1016/0010-4485(96)00013-9.png)
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Abstract
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This paper introduces and develops an interval geometric representation for curved objects. The representation is based on rounded interval arithmetic and addresses robustness problems in current boundary representation solid modellers operating in floating point arithmetic. These problems include topology violation (such as gaps and inappropriate intersections), incidence asymmetry, and incidence intransitivity. The concepts of interval polynomial spline curves and surface patches are employed in this context. A graph-based data structure incorporating the special features of interval geometries is developed and extended to represent non-manifold objects. Copyright (C) 1996 Elsevier Science Ltd
Keywords:
CAD
CAM
robustness
rounded interval arithmetic
interval geometries
reliability
non-manifold objects
data structure
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