1998
DOI: 10.1017/cbo9780511564352
|View full text |Cite
|
Sign up to set email alerts
|

Image Processing and Data Analysis

Abstract: Powerful techniques have been developed in recent years for the analysis of digital data, especially the manipulation of images. This book provides an in-depth introduction to a range of these innovative, avante-garde data-processing techniques. It develops the reader's understanding of each technique and then shows with practical examples how they can be applied to improve the skills of graduate students and researchers in astronomy, electrical engineering, physics, geophysics and medical imaging. What sets t… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

1
257
0
7

Year Published

2000
2000
2015
2015

Publication Types

Select...
8
2

Relationship

0
10

Authors

Journals

citations
Cited by 496 publications
(265 citation statements)
references
References 0 publications
1
257
0
7
Order By: Relevance
“…1.5.1 of Starck et al (1998), multiresolution tools based on a wavelet transform suffer from several problems, in particular they create negative artefacts around the sources. In addition, since the emission is smoothed with the scaling function (Φ) to produce the large-scale planes, the shape of the large-scale structures is not preserved and tends toward the shape of Φ (which, in turn, creates the negative artefacts in the small-scale planes mentioned above).…”
Section: Appendix B: Assumptionsmentioning
confidence: 99%
“…1.5.1 of Starck et al (1998), multiresolution tools based on a wavelet transform suffer from several problems, in particular they create negative artefacts around the sources. In addition, since the emission is smoothed with the scaling function (Φ) to produce the large-scale planes, the shape of the large-scale structures is not preserved and tends toward the shape of Φ (which, in turn, creates the negative artefacts in the small-scale planes mentioned above).…”
Section: Appendix B: Assumptionsmentioning
confidence: 99%
“…In order to count the hybridization dots on confocal Z-series, we used the METAMORPH software (Molecular Devices, http://www.moleculardevices.com/) and particularly the multidimensional image analysis (MIA) module developed by Racine et al (2007). The method is based on locally adaptive noise filtering and 2-D segmentation by wavelet transformation (Starck et al, 1998) followed by maximal projection of the segmented images. The number of dots was estimated on this projection by measuring the surface of the segmented objects and taking into account the area of a standard object previously defined from multiple 2-D images.…”
Section: Image Analysismentioning
confidence: 99%
“…Let us have a data set D (particles in simulations or luminosity weighted galaxies in SDSS data), located in a box of size n×n×n. The wavelet transform decomposes the data set as a superposition of the form (A.9) where c J is the smoothed version of the original data D, and w j represents the structure of D at scale 2 j (see Starck et al 1998;Starck & Murtagh 2002). The wavelet decomposition output is J three-dimensional density fields D j and wavelets w j of size n × n × n. Following the traditional indexing convention, we denote density fields and wavelets of the finest scale as j = 1.…”
Section: A3 Waveletsmentioning
confidence: 99%