Spectral analysis of mammographic images using a multitaper method

Wu, Gang; Mainprize, James G.; Yaffe, Martin J.

doi:10.1118/1.3676740

Cited by 15 publications

(7 citation statements)

References 25 publications

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“…In power spectrum analysis, detrending is a very important operation for removing any low-frequency or gradual changes (trends) in images. If a trend is not removed properly, it will leave a high spike in the spectrum at or near zero-frequency [2]. The NPS measured by LSAMTM with bilateral filtering in the raw images is demonstrated in Figure 6.…”

Section: Resultsmentioning

confidence: 99%

“…To compare the spectral resolution provided for typical MTM and our new method, grid lines in projection images were simulated with colored noise using the same method as in our previous work [2]. Those grid lines will result in a peak at 2.5 mm -1 in the power spectrum of the simulated image.…”

Section: Simulated X-ray Projections and Clinical Qc Imagesmentioning

confidence: 99%

“…The multitaper method (MTM) was introduced [1] to reduce the large variance of estimate that commonly exists in conventional single taper periodograms. In our previous work we demonstrated that MTM method is superior to the conventional windowed overlapping averaging (WOAP) method in terms of bias, variance and frequency precision in power spectrum estimation of breast images [2]. The variance reduction of the MTM method is achieved by averaging the periodograms of an image weighted by a series of window functions (also known as tapers).…”

Section: Introductionmentioning

confidence: 98%

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Local spectral adaptive multitaper method with bilateral filtering for spectrum analysis of mammographic images

Mainprize

Yaffe

2012

SPIE Proceedings

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Estimation of the image power spectrum is fundamental to the development of a figure of merit for image performance analysis. We are investigating a new multitaper approach to determine power spectra, which provides a combination of low variance and high spectral resolution in the frequency range of interest. To further reduce the variance, the spectrum estimated by the proposed Local Spectral Adaptive Multitaper Method (LSAMTM) is subsequently smoothed in the frequency domain by bilateral filtering, while keeping the spectral resolution intact. This tool will be especially valuable in power spectrum estimation of images that deviate significantly from uniform white noise.The performance of this approach was evaluated in terms of spectral stability, variance reduction, bias and frequency precision. It was also compared to the conventional power spectrum method in several typical situations, including the noise power spectra (NPS) measurements of simulated projection images of a uniform phantom and NPS measurement of real detector images of a uniform phantom for two clinical digital mammography systems.Examination of variance reduction versus spectral resolution and bias indicates that the LSAMTM with bilateral filtering technique is superior to the conventional estimation methods in variance reduction, spectral resolution and in the prevention of spectrum leakage. It has the ability to keep both low variance and narrow spectral linewidth in the frequency range of interest. Up to 87% more variance reduction can be achieved with proper filtration and no sacrifice of frequency precision has been observed.

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Section: Resultsmentioning

confidence: 99%

Section: Simulated X-ray Projections and Clinical Qc Imagesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Local spectral adaptive multitaper method with bilateral filtering for spectrum analysis of mammographic images

Mainprize

Yaffe

2012

SPIE Proceedings

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“…The mixed component represents all features of the image present in the range of spatial frequencies dictated by upper and lower cutoff frequencies. By default, these frequency cutoffs are employed merely to exclude extremely low spatial frequencies, which typically only contain uninteresting, poorly resolved features [ 5 , 6 ] or windowing artefacts [ 21 ]. However, the cutoff values may also be adjusted by specifying corresponding wavelength cutoffs.…”

Section: Methodsmentioning

confidence: 99%

CytoSpectre: a tool for spectral analysis of oriented structures on cellular and subcellular levels

et al. 2015

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BackgroundOrientation and the degree of isotropy are important in many biological systems such as the sarcomeres of cardiomyocytes and other fibrillar structures of the cytoskeleton. Image based analysis of such structures is often limited to qualitative evaluation by human experts, hampering the throughput, repeatability and reliability of the analyses. Software tools are not readily available for this purpose and the existing methods typically rely at least partly on manual operation.ResultsWe developed CytoSpectre, an automated tool based on spectral analysis, allowing the quantification of orientation and also size distributions of structures in microscopy images. CytoSpectre utilizes the Fourier transform to estimate the power spectrum of an image and based on the spectrum, computes parameter values describing, among others, the mean orientation, isotropy and size of target structures. The analysis can be further tuned to focus on targets of particular size at cellular or subcellular scales. The software can be operated via a graphical user interface without any programming expertise. We analyzed the performance of CytoSpectre by extensive simulations using artificial images, by benchmarking against FibrilTool and by comparisons with manual measurements performed for real images by a panel of human experts. The software was found to be tolerant against noise and blurring and superior to FibrilTool when analyzing realistic targets with degraded image quality. The analysis of real images indicated general good agreement between computational and manual results while also revealing notable expert-to-expert variation. Moreover, the experiment showed that CytoSpectre can handle images obtained of different cell types using different microscopy techniques. Finally, we studied the effect of mechanical stretching on cardiomyocytes to demonstrate the software in an actual experiment and observed changes in cellular orientation in response to stretching.ConclusionsCytoSpectre, a versatile, easy-to-use software tool for spectral analysis of microscopy images was developed. The tool is compatible with most 2D images and can be used to analyze targets at different scales. We expect the tool to be useful in diverse applications dealing with structures whose orientation and size distributions are of interest. While designed for the biological field, the software could also be useful in non-biological applications.Electronic supplementary materialThe online version of this article (doi:10.1186/s12859-015-0782-y) contains supplementary material, which is available to authorized users.

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“…In each ROI, the Wiener spectrum, S(u,v) is calculated from α(x,y) using the multitaper approach of Wu et al 22 To further reduce uncertainty, the following multiparameter surface is fitted to the Wiener spectrum:…”

Section: Research Ethicsmentioning

confidence: 99%

Quantifying masking in clinical mammograms via local detectability of simulated lesions

et al. 2016

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Spectral analysis of mammographic images using a multitaper method

Cited by 15 publications

References 25 publications

Local spectral adaptive multitaper method with bilateral filtering for spectrum analysis of mammographic images

Local spectral adaptive multitaper method with bilateral filtering for spectrum analysis of mammographic images

CytoSpectre: a tool for spectral analysis of oriented structures on cellular and subcellular levels

Quantifying masking in clinical mammograms via local detectability of simulated lesions

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