A dynamical analysis on non-local autoregressive model and its application on image reconstruction. (January 2020)

• Record Type: Journal Article
• Authors: Sun, Dong; Li, Fangfang; Gao, Qingwei; Lu, Yixiang
• Is Part Of: Chaos, solitons and fractals. Volume 130(2020)
• Publication Date: 2020-01
• Subjects: Non-local autoregressive model -- Iterated function system -- Attractor -- Spectrum radius -- Image reconstruction; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.109427
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A dynamical analysis of the image non-local autoregressive (NAR) model is researched for the first time. An image code/decode algorithm is proposed via attractor reconstruction refer to the NAR matrix mapping. An improved NAR model is developed for better image reconstruction with a weaker guarantee. Abstract: Natural images are highly structured, which reflects strong spatial redundancy underlying its pixels. In this paper, a dynamical analysis of the non-local autoregressive (NAR) model is researched for the first time. We prove that under the condition when the spectrum radius of NAR matrix is less than 1, the original image as the global stable fixed point of function system referring to a modified NAR model can be iteratively recovered via attractor reconstruction from an arbitrary start point.