AustralieFrV1, Main, Exploration, bibRecord, 006344

Properties of Minimal Ghosts

Identifieur interne : 006344 ( Main/Exploration ); précédent : 006343; suivant : 006345

Properties of Minimal Ghosts

Auteurs : Imants Svalbe [Australie] ; Nicolas Normand [Australie, France]

Source :

Lecture Notes in Computer Science [ 0302-9743 ] ; 2011.

RBID : ISTEX:C3CED1547003ED3D8346C80871F040E35D5A0779

English descriptors

KwdEn :
- Array size, Clear image space, Clear rows, Common intersection point, Compact ghost images, Compacted ghosts, Correlation properties, Degenerate mappings, Discrete projection angle, Discrete projection angles, Discrete projection scheme, Discrete projections, Distinct ghost images, Ghost, Ghost image, Ghost images, Ghost pixel location, Ghost pixels, Ieee, Image data, Image reconstruction, Image space, Iterated convolutions, Large number, Large numbers, Link pairs, Mathematical morphology, Matrix, Minimal ghost construction, Minimal ghost images, Minimal ghosts, Modulus, Monash university, Nite, Nite radon, Normand, Order ghost, Order ghosts, Peak value, Perfect sequences, Pixel, Pixel locations, Pixel values, Projection, Projection angles, Projection directions, Projection properties, Projection space, Radon, Remarkable symmetry, Signal design, Strong symmetry, Svalbe, Systematic encoding, Universal ghosts.
Teeft :
- Array size, Clear image space, Clear rows, Common intersection point, Compact ghost images, Compacted ghosts, Correlation properties, Degenerate mappings, Discrete projection angle, Discrete projection angles, Discrete projection scheme, Discrete projections, Distinct ghost images, Ghost, Ghost image, Ghost images, Ghost pixel location, Ghost pixels, Ieee, Image data, Image reconstruction, Image space, Iterated convolutions, Large number, Large numbers, Link pairs, Mathematical morphology, Matrix, Minimal ghost construction, Minimal ghost images, Minimal ghosts, Modulus, Monash university, Nite, Nite radon, Normand, Order ghost, Order ghosts, Peak value, Perfect sequences, Pixel, Pixel locations, Pixel values, Projection, Projection angles, Projection directions, Projection properties, Projection space, Radon, Remarkable symmetry, Signal design, Strong symmetry, Svalbe, Systematic encoding, Universal ghosts.

Abstract

Abstract: A ghost image is an array of signed pixel values so positioned as to create zero-sums in all discrete projections taken across that image for a pre-defined set of angles. The discrete projection scheme used here is the finite Radon transform. Minimal ghosts employ just 2N pixels to generate zero-sum projections at N projection angles. We describe efficient methods to construct $N^\text{th}$ order minimal ghost images on prime-sized 2D arrays. Ghost images or switching components are important in discrete image reconstruction. Ghosts usually grow larger as they are constrained by more projection angles. When ghosts become too large to be added to an image, image reconstruction from projections becomes unique and exact. Ghosts can be used to synthesize image/anti-image data that will also exhibit zero-sum projections at N pre-defined angles. We examine the remarkable symmetry, cross- and auto-correlation properties of minimal ghosts. The geometric properties of minimal ghost images may make them suitable to embed in data as watermarks.

Url:

https://api.istex.fr/document/C3CED1547003ED3D8346C80871F040E35D5A0779/fulltext/pdf

DOI: 10.1007/978-3-642-19867-0_35

Affiliations:

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Le document en format XML

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Properties of Minimal Ghosts

Properties of Minimal Ghosts

Source :

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Le document en format XML

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