Local Moebius transformations applied to omnidirectional images. (November 2017)

• Record Type: Journal Article
• Authors: Souto Ferreira, Leonardo; Sacht, Leonardo; Velho, Luiz
• Is Part Of: Computers & graphics. Volume 68(2017)
• Page Start: 77
• Page End: 83
• Publication Date: 2017-11
• Subjects: Moebius transformations -- Omnidirectional images -- Panoramas -- Distortions; Computer graphics -- Periodicals; 006.6
• DOI: 10.1016/j.cag.2017.08.005
• Languages: English
• ISSNs: 0097-8493

Abstract

Highlights: Method to transform omnidirectional images based on Moebius transformations. The Moebius transformations are determined by the image of three points. Appropriate weighting functions ensure locality. Results include multiple effects such as straight line rectification and local zoom. Graphical abstract: Abstract: This work presents a new method to transform omnidirectional images based on a combination of Moebius transformations in the complex plane and weighting functions that restrict the action of these mappings to regions of interest. The transformations are calculated based on the specification of the image of three points and the weighting functions are designed to achieve specific goals such as local zoom or straight line rectification. Since no optimization or numerical methods are involved, our implementation of the proposed method can be upgraded to reach real-time performance. We provide a user interface and present many results that illustrate the potential of the proposed technique.