An axiomatic approach to image interpolation

V. CASELLES; J.-M. MOREL; C. SBERT

doi:10.1109/ICIP.1997.632125

An axiomatic approach to image interpolation

V. CASELLES^*
, J.-M. MOREL
, C. SBERT

^*Corresponding author for this work

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › 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.

Original language	English
Title of host publication	Proceedings of International Conference on Image Processing, Volume 111 of 111, 1997
Publisher	IEEE
Pages	376-379
Number of pages	4
Volume	3
ISBN (Print)	0818681837
DOIs	https://doi.org/10.1109/ICIP.1997.632125
Publication status	Published - 1997
Externally published	Yes
Event	1997 International Conference on Image Processing, ICIP 1997 - Santa Barbara, United States Duration: 26 Oct 1997 → 29 Oct 1997

Conference

Conference	1997 International Conference on Image Processing, ICIP 1997
Country/Territory	United States
City	Santa Barbara
Period	26/10/97 → 29/10/97

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10.1109/ICIP.1997.632125

Cite this

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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.",

author = "V. CASELLES and J.-M. MOREL and C. SBERT",

year = "1997",

doi = "10.1109/ICIP.1997.632125",

language = "English",

isbn = "0818681837 ",

volume = "3",

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publisher = "IEEE",

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

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AU - CASELLES, V.

AU - MOREL, J.-M.

AU - SBERT, C.

PY - 1997

Y1 - 1997

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.

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.

UR - https://www.scopus.com/pages/publications/0031378610

U2 - 10.1109/ICIP.1997.632125

DO - 10.1109/ICIP.1997.632125

M3 - Conference paper (refereed)

AN - SCOPUS:0031378610

SN - 0818681837

VL - 3

SP - 376

EP - 379

BT - Proceedings of International Conference on Image Processing, Volume 111 of 111, 1997

PB - IEEE

T2 - 1997 International Conference on Image Processing, ICIP 1997

Y2 - 26 October 1997 through 29 October 1997

ER -

An axiomatic approach to image interpolation

Abstract

Conference

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An axiomatic approach to image interpolation

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