eprintid: 10043143
rev_number: 30
eprint_status: archive
userid: 608
dir: disk0/10/04/31/43
datestamp: 2018-02-12 14:16:10
lastmod: 2021-09-17 22:18:25
status_changed: 2018-02-12 14:16:10
type: article
metadata_visibility: show
creators_name: Griffin, LD
title: The Atlas Structure of Images
ispublished: pub
divisions: UCL
divisions: B04
divisions: C05
divisions: F48
keywords: Image Analysis, Image Representation, Image Resolution, Gaussian Derivatives, Filter Steering, Keypoints
note: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
abstract: Many operations of vision require image regions to be isolated and inter-related. This is challenging when they are different in detail and extent. Practical methods of Computer Vision approach this through the tools of downsampling, pyramids, cropping and patches. In this paper we develop an ideal geometric structure for this, compatible with the existing scale space model of image measurement. Its elements are apertures which view the image like fuzzy-edged portholes of frosted glass. We establish containment and cause/effect relations between apertures, and show that these link them into cross-scale atlases. Atlases formed of Gaussian apertures are shown to be a continuous version of the image pyramid used in Computer Vision, and allow various types of image description to naturally be expressed within their framework. We show that views through Gaussian apertures are approximately equivalent to the jets of derivative of Gaussian filter responses that form part of standard Scale Space theory. This supports a view of the simple cells of mammalian V1 as implementing a system of local views of the retinal image of varying extent and resolution. As a worked example we develop a keypoint descriptor scheme that outperforms previous schemes that do not make use of learning.
date: 2019-01-01
date_type: published
official_url: https://doi.org/10.1109/TPAMI.2017.2777856
oa_status: green
full_text_type: other
language: eng
primo: open
primo_central: open_green
article_type_text: Article
verified: verified_manual
elements_id: 1525265
doi: 10.1109/TPAMI.2017.2777856
lyricists_name: Griffin, Lewis
lyricists_id: LDGRI51
actors_name: Griffin, Lewis
actors_id: LDGRI51
actors_role: owner
full_text_status: public
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
volume: 41
number: 1
pagerange: 234-245
issn: 0162-8828
citation:        Griffin, LD;      (2019)    The Atlas Structure of Images.                   IEEE Transactions on Pattern Analysis and Machine Intelligence , 41  (1)   pp. 234-245.    10.1109/TPAMI.2017.2777856 <https://doi.org/10.1109/TPAMI.2017.2777856>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10043143/1/Griffin_Atlas_Structure_Images_AAM.pdf