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Mapped regular pavings
Mapped regular pavings
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Harlow, J. (author)
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Sainudiin, R. (author)
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- Tucker, Warwick (author)
- Uppsala universitet,Analys och tillämpad matematik
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(creator_code:org_t)
- 2012
- 2012
- English.
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In: Reliable Computing. - 1385-3139 .- 1573-1340. ; 16, s. 252-282
- Related links:
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https://urn.kb.se/re...
Abstract
Subject headings
Close
- A regular paving is a finite succession of bisections that partition a root box x in ℝ d into sub-boxes using a binary tree-based data structure. We extend regular pavings to mapped regular pavings which map sub-boxes in a regular paving of x to elements in some set Y. Arithmetic operations defined on Y can be extended point-wise over x and carried out in a computationally efficient manner using Y-mapped regular pavings of x. The efficiency of this arithmetic is due to recursive algorithms on the algebraic structure of finite rooted binary trees that are closed under union operations. Our arithmetic has many applications in function approximation using tree based inclusion algebras and statistical set-processing.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Finite rooted binary trees
- Inclusion algebra
- Tree arithmetic
Publication and Content Type
- ref (subject category)
- art (subject category)
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