Arithmetization of a Circular Arc

DOI10.1007/978-3-642-04397-0_30zbMath1261.65025OpenAlexW1719828937MaRDI QIDQ3648797

Gaëlle Largeteau-Skapin, Eric Andres, Aurélie Richard, Laurent Fuchs, Guy Wallet

Publication date: 1 December 2009

Published in: Discrete Geometry for Computer Imagery (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04397-0_30

zbMATH Keywords

connectednessnumerical schemeerror orderarithmetizationdiscrete circlediscrete arc circle

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Nonstandard models in mathematics (03H05)

Related Items (2)

Determining digital circularity using integer intervals ⋮ Digital Straightness, Circularity, and Their Applications to Image Analysis

Cites Work

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• Insight in discrete geometry and computational content of a discrete model of the continuum
• Back and forth between continuous and discrete for the working computer scientist
• Some artefacts of integer-computed circles
• A linear algorithm for incremental digital display of circular arcs
• Internal set theory: A new approach to nonstandard analysis
• A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis

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