Near optimal geometric image scaling using oblique projection operators

Chulhee Lee, Murray Eden, Michael Unser

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

In this paper, we propose to re-size images using an oblique projection operator instead of the orthogonal one in order to obtain faster, simpler, and more general algorithms. The main advantage is that it becomes perfectly feasible to use higher order models (e.g, splines of degree n≥3). We develop the theoretical background and present a simple and practical implementation procedure that uses B-splines. Experiments show that the proposed algorithm consistently outperforms the standard interpolation method and that it essentially provides the same performance as the optimal procedure (least squares solution) with considerably less computations.

Original languageEnglish
Pages (from-to)2399-2402
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume4
Publication statusPublished - 1996 Jan 1

Fingerprint

splines
Splines
projection
scaling
operators
interpolation
Interpolation
Experiments

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics

Cite this

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Near optimal geometric image scaling using oblique projection operators. / Lee, Chulhee; Eden, Murray; Unser, Michael.

In: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Vol. 4, 01.01.1996, p. 2399-2402.

Research output: Contribution to journalConference article

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AB - In this paper, we propose to re-size images using an oblique projection operator instead of the orthogonal one in order to obtain faster, simpler, and more general algorithms. The main advantage is that it becomes perfectly feasible to use higher order models (e.g, splines of degree n≥3). We develop the theoretical background and present a simple and practical implementation procedure that uses B-splines. Experiments show that the proposed algorithm consistently outperforms the standard interpolation method and that it essentially provides the same performance as the optimal procedure (least squares solution) with considerably less computations.

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