Reconstructing 2D images with natural neighbour interpolation

François Anton; Darka Mioc; Alain Fournier

doi:10.1007/PL00013404

Reconstructing 2D images with natural neighbour interpolation

François Anton, Darka Mioc, Alain Fournier

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

In this paper, we explore image reconstruction by natural neighbour interpolation from irregularly spaced samples. We sample the image irregularly with techniques based on the Laplacian or the derivative in the direction of the gradient. Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. Then we use natural neighbour interpolation in order to reconstruct the image. The main result is that the image quality is always very good in the case of the sampling techniques based on the Laplacian.
Keyword: natural neighbour interpolation,irregularly spaced samples,local coordinates,image reconstruction

Original language	English
Journal	Visual Computer
Volume	17
Issue number	3
Pages (from-to)	134-146
ISSN	0178-2789
DOIs	https://doi.org/10.1007/PL00013404
Publication status	Published - 2001
Externally published	Yes

Access to Document

10.1007/PL00013404

OpenUrl availability

Full text

Cite this

@article{84d4b8f873f24e8ca1b22dc7977a2e97,

title = "Reconstructing 2D images with natural neighbour interpolation",

abstract = "In this paper, we explore image reconstruction by natural neighbour interpolation from irregularly spaced samples. We sample the image irregularly with techniques based on the Laplacian or the derivative in the direction of the gradient. Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the {"}neighbourliness{"} of data sites. Then we use natural neighbour interpolation in order to reconstruct the image. The main result is that the image quality is always very good in the case of the sampling techniques based on the Laplacian. Keyword: natural neighbour interpolation,irregularly spaced samples,local coordinates,image reconstruction",

author = "Fran{\c c}ois Anton and Darka Mioc and Alain Fournier",

year = "2001",

doi = "10.1007/PL00013404",

language = "English",

volume = "17",

pages = "134--146",

journal = "Visual Computer",

issn = "0178-2789",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - Reconstructing 2D images with natural neighbour interpolation

AU - Anton, François

AU - Mioc, Darka

AU - Fournier, Alain

PY - 2001

Y1 - 2001

N2 - In this paper, we explore image reconstruction by natural neighbour interpolation from irregularly spaced samples. We sample the image irregularly with techniques based on the Laplacian or the derivative in the direction of the gradient. Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. Then we use natural neighbour interpolation in order to reconstruct the image. The main result is that the image quality is always very good in the case of the sampling techniques based on the Laplacian. Keyword: natural neighbour interpolation,irregularly spaced samples,local coordinates,image reconstruction

AB - In this paper, we explore image reconstruction by natural neighbour interpolation from irregularly spaced samples. We sample the image irregularly with techniques based on the Laplacian or the derivative in the direction of the gradient. Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. Then we use natural neighbour interpolation in order to reconstruct the image. The main result is that the image quality is always very good in the case of the sampling techniques based on the Laplacian. Keyword: natural neighbour interpolation,irregularly spaced samples,local coordinates,image reconstruction

U2 - 10.1007/PL00013404

DO - 10.1007/PL00013404

M3 - Journal article

SN - 0178-2789

VL - 17

SP - 134

EP - 146

JO - Visual Computer

JF - Visual Computer

IS - 3

ER -

Reconstructing 2D images with natural neighbour interpolation

Abstract

Access to Document

OpenUrl availability

Fingerprint

Cite this