An Axiomatic approach to image interpolation

Vicent Caselles; Jean-Michel Morel; Catalina Sbert

doi:10.1109/ICIP.1997.632125

An Axiomatic approach to image interpolation

Vicent Caselles^*
, Jean-Michel Morel
, Catalina Sbert

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

15 Citations (Scopus)

Abstract

We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. © 1998 IEEE

Original language	English
Title of host publication	Proceedings International Conference On Image Processing
Subtitle of host publication	October 26-29, 1997 Santa Barbara, California
Publisher	IEEE
Pages	376-379
Volume	3
ISBN (Print)	0-8186-8183-7
DOIs	https://doi.org/10.1109/ICIP.1997.632125
Publication status	Published - Oct 1997
Externally published	Yes
Event	1997 International Conference on Image Processing - Santa Barbara, CA, United States Duration: 26 Oct 1997 → 29 Oct 1997

Conference

Conference	1997 International Conference on Image Processing
Place	United States
City	Santa Barbara, CA
Period	26/10/97 → 29/10/97

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title = "An Axiomatic approach to image interpolation",

abstract = "We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. {\textcopyright} 1998 IEEE",

author = "Vicent Caselles and Jean-Michel Morel and Catalina Sbert",

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doi = "10.1109/ICIP.1997.632125",

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note = "1997 International Conference on Image Processing ; Conference date: 26-10-1997 Through 29-10-1997",

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An Axiomatic approach to image interpolation. / Caselles, Vicent; Morel, Jean-Michel; Sbert, Catalina.
Proceedings International Conference On Image Processing: October 26-29, 1997 Santa Barbara, California. Vol. 3 IEEE, 1997. p. 376-379.

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - An Axiomatic approach to image interpolation

AU - Caselles, Vicent

AU - Morel, Jean-Michel

AU - Sbert, Catalina

PY - 1997/10

Y1 - 1997/10

N2 - We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. © 1998 IEEE

AB - We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The Absolute Minimal Lipschitz Extension model (AMLE) is singled out and studied in more detail. We show experiments suggesting a possible application, the restoration of images with poor dynamic range. © 1998 IEEE

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U2 - 10.1109/ICIP.1997.632125

DO - 10.1109/ICIP.1997.632125

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 0-8186-8183-7

VL - 3

SP - 376

EP - 379

BT - Proceedings International Conference On Image Processing

PB - IEEE

T2 - 1997 International Conference on Image Processing

Y2 - 26 October 1997 through 29 October 1997

ER -

An Axiomatic approach to image interpolation

Abstract

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