Volume 15, Issue 3, September 2016, Pages 214 - 220
RKHS approach for signal detection in rotation and scale space random fields
Authors
K. Shafie, Akbar Abravesh
Corresponding Author
K. Shafie
Received 13 December 2014, Accepted 11 June 2016, Available Online 1 September 2016.
- DOI
- 10.2991/jsta.2016.15.3.2How to use a DOI?
- Keywords
- Scale space random fields, rotation space random fields, reproducing kernel Hilbert space, likelihood ratio statistic.
- Abstract
Two important papers of Worsley, Siegmund and coworkers consider rotation and scale space random fields for detecting signals in fMRI (functional magnetic resonance imaging) brain images. They use the global maxima of images for detection of a signal. In the current work, we utilize a reproducing kernel Hilbert space (RKHS) approach to show for both rotation and scale space random fields the global maximum of the image is indeed the likelihood ratio test statistic.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - K. Shafie AU - Akbar Abravesh PY - 2016 DA - 2016/09/01 TI - RKHS approach for signal detection in rotation and scale space random fields JO - Journal of Statistical Theory and Applications SP - 214 EP - 220 VL - 15 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2016.15.3.2 DO - 10.2991/jsta.2016.15.3.2 ID - Shafie2016 ER -