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Minkowski functionals used in the morphological analysis of cosmic microwave background anisotropy maps
Open accessAbstract
We present a novel approach to quantifying the morphology of cosmic microwave background (CMB) anisotropy maps. As morphological descriptors, we use shape parameters known as Minkowski functionals. Using the mathematical framework provided by the theory of integral geometry on arbitrary curved supports, we point out the differences in their characterization and interpretation in the case of flat space. With the restrictions of real data — such as pixelization and incomplete sky coverage, to mention just a few — in mind, we derive and test unbiased estimators for all Minkowski functionals. Various examples, among them the analysis of the four-year COBE DMR data, illustrate the application of our method.
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Citations
Cited by
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Dunkley, J., Nolta, M. R., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/330 · Cited by 5,786
Dark Energy from structure: a status report
Buchert, T. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0554-8 · Cited by 388
Cosmology with weak lensing surveys
MUNSHI, D., VALAGEAS, P., VANWAERBEKE, L., & HEAVENS, A. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.02.003 · Cited by 299
Metadata
- Authors
- Schmalzing, J., & Gorski, K. M.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1998-06-21
- Volume
- 297
- Issue
- 2
- Pages
- 355-365
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2141718429
- Cited by
- 238
- References
- 0
- FWCI
- 7.97
- Type
- journal article
- Language
- en
- Open access
- green
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- Schmalzing, J., & Gorski, K. M. (1998). Minkowski functionals used in the morphological analysis of cosmic microwave background anisotropy maps. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1046/j.1365-8711.1998.01467.x
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