Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling

DOI10.1007/978-3-540-85521-7_11zbMath1165.65317OpenAlexW1929832589MaRDI QIDQ5302773

M. Zidani, N. F. Stewart

Publication date: 13 January 2009

Published in: Reliable Implementation of Real Number Algorithms: Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://drops.dagstuhl.de/opus/volltexte/2006/719/

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17) Error analysis and interval analysis (65G99)

Cites Work

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• A transfinite form of Sibson's interpolant
• Combined subdivision schemes for the design of surfaces satisfying boundary conditions
• Heterogeneous material modeling with distance fields
• Conditions for use of a non-selfintersection conjecture
• Extension of functions satisfying Lipschitz conditions
• Extension of range of functions
• Error Analysis for Operations in Solid Modeling in the Presence of Uncertainty
• Accuracy and semantics in shape-interrogation applications
• Trimming for subdivision surfaces

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