Generalized Functionality for Arithmetic Discrete Planes

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• 作者：Valerie Berthé ; Christophe Fiorio ; Damien Jamet
• 关键词：digital planes ; arithmetic planes ; local configurations ; functionality of discrete planes
• 刊名：Lecture Notes in Computer Science
• 出版年：2005
• 出版时间：2005
• 年：2005
• 卷：3429
• 期：1
• 页码：p.276
• 全文大小：250 KB
• 刊物类别：Computer Science
• 刊物主题：Artificial Intelligence and Robotics
  Computer Communication Networks
  Software Engineering
  Data Encryption
  Database Management
  Computation by Abstract Devices
  Algorithm Analysis and Problem Complexity
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1611-3349

文摘

The discrete plane β (a,b,c,μ,ω) is the set of integer points (x,y,z)∈?? satisfying 0 ≤ ax+by+cz + μ < ω. In the case ω=max(|a|,|b|,|c|),the discrete plane is said naive and is well-known to be functional on one of the coordinate planes, that is, for any point of P of this coordinate plane, there exists a unique point in the discrete plane obtained by adding to P a third coordinate. Naive planes have been widely studied, see for instance [Rev91, DRR94, DR95, AAS97, VC97, Col02, BB02].