ササキ　リョウヘイ   佐々木　亮平    所属   コンピュータサイエンス学部 コンピュータサイエンス学科    職種   助教
言語種別	英語
発行・発表の年月	2017/09
形態種別	国際会議論文
査読	査読あり
標題	Polynomoal Regression and Low-Rank Approach to Imge Inpainting
執筆形態	共著
掲載誌名	Japan Society for Simulation Technology Annual Conference
担当区分	筆頭著者,責任著者
著者・共著者	R. Sasaki, K. Konishi, T. Takahashi, and T. Furukawa
概要	This paper proposes a new algorithm for image inpainting algorithm based on the matrix rank minimization with nonlinear mapping function. Assuming that each intensity value of a nonlinear mapped image can be modeled by the autoregressive (AR) model, the image inpainting problem is formulated as a kind of the matrix rank minimization problem, and this paper modifies the iterative partial matrix shrinkage (IPMS) algorithm and provides an inpainting algorithm, which estimates a nonlinear mapping function and the missing pixels simultaneously. Numerical examples show that the proposed algorithm recovers missing pixels efficiently.