An axiomatic approach to image interpolation

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

doi:10.1109/83.661188

An axiomatic approach to image interpolation

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

Research output: Journal Publications › Journal Article (refereed) › peer-review

264 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
Pages (from-to)	376-386
Number of pages	11
Journal	IEEE Transactions on Image Processing
Volume	7
Issue number	3
DOIs	https://doi.org/10.1109/83.661188
Publication status	Published - 31 Mar 1998
Externally published	Yes

Access to Document

10.1109/83.661188

Cite this

@article{c06bb530087846e9a2a069867741a927,

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

year = "1998",

month = mar,

day = "31",

doi = "10.1109/83.661188",

language = "English",

volume = "7",

pages = "376--386",

journal = "IEEE Transactions on Image Processing",

issn = "1057-7149",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "3",

}

TY - JOUR

T1 - An axiomatic approach to image interpolation

AU - CASELLES, V.

AU - MOREL, J.-M.

AU - SBERT, C.

PY - 1998/3/31

Y1 - 1998/3/31

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.

UR - https://www.scopus.com/pages/publications/0032023750

U2 - 10.1109/83.661188

DO - 10.1109/83.661188

M3 - Journal Article (refereed)

AN - SCOPUS:0032023750

SN - 1057-7149

VL - 7

SP - 376

EP - 386

JO - IEEE Transactions on Image Processing

JF - IEEE Transactions on Image Processing

IS - 3

ER -

An axiomatic approach to image interpolation

Abstract

Access to Document

Other files and links

Fingerprint

An axiomatic approach to image interpolation

Cite this