dc.contributor.author | Thon, Kevin Otto | |
dc.contributor.author | Geilhufe, Marc | |
dc.contributor.author | Percival, Donald B. | |
dc.date.accessioned | 2015-03-26T07:36:51Z | |
dc.date.available | 2015-03-26T07:36:51Z | |
dc.date.issued | 2014-12-31 | |
dc.description.abstract | A test for isotropy of images modeled as stationary
or intrinsically stationary random fields on a lattice is developed.
The test is based on wavelet theory, and can operate on the
horizontal and vertical scale of choice, or on any combination
of scales. Scale is introduced through the wavelet variances
(sometimes referred to as the wavelet power spectrum), which
decompose the variance over different horizontal and vertical
spatial scales. The method is more general than existing tests for
isotropy, since it handles intrinsically stationary random fields
as well as second-order stationary fields. The performance of the
method is demonstrated on samples from different (an)isotropic
random fields, and compared to three existing methods. It
is competitive with or outperforms existing methods since it
consistently rejects close to the nominal level for isotropic fields
while having a rejection rate for anisotropic fields comparable
to the existing methods in the stationary case, and superior in
the intrinsic case. As practical examples, paper density images
of handsheets and mammogram images are analyzed. | en |
dc.identifier.citation | IEEE Transactions on Image Processing 24(2015) nr. 2 s. 694-708 | en_US |
dc.identifier.cristinID | FRIDAID 1201894 | |
dc.identifier.doi | 10.1109/TIP.2014.2387016 | |
dc.identifier.issn | 1057-7149 | |
dc.identifier.uri | https://hdl.handle.net/10037/7591 | |
dc.identifier.urn | URN:NBN:no-uit_munin_7180 | |
dc.language.iso | eng | en_US |
dc.rights.accessRights | openAccess | |
dc.subject | VDP::429 | en_US |
dc.subject | maximal overlap discrete wavelet transform | en |
dc.subject | wavelet variance | en |
dc.subject | isotropy | en |
dc.subject | anisotropy | en |
dc.subject | random fields | en |
dc.title | A Multiscale Wavelet-Based Test for Isotropy of Random Fields on a Regular Lattice | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |