Analysis of multiframe super-resolution reconstruction for image anti-aliasing and deblurring

被引：13

作者：

Wang, ZZ ^{[1
]}

Qi, FH ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Comp Sci & Engn, Shanghai 200030, Peoples R China

来源：

IMAGE AND VISION COMPUTING | 2005年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

super-resolution; ill-posedness; perturbation; discrete picard condition; regularization; anti-aliasing; deblurring;

D O I：

10.1016/j.imavis.2004.11.001

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Novel theoretical results for the super-resolution reconstruction (SRR) are presented under the case of arbitrary image warping. The SRR model is reasonably separated into two parts of anti-aliasing and deblurring. The anti-aliasing part is proved to be well-posed. The ill-posedness of the entire SRR process is shown to be mainly caused by the deblurring part. The motion estimation error results in a multiplicative perturbation to the warping matrix, and the perturbation bound is derived. The common regularization algorithms used in SRR are analyzed through the discrete Picard condition, which provides a theoretical measure for limits on SRR. Experiments and examples are supplied to validate the presented theories. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：393 / 404

页数：12

共 33 条

[1]

Andrews HC, 1977, DIGITAL IMAGE RESTOR

[2] Limits on super-resolution and how to break them [J].

Baker, S ;

Kanade, T .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2002, 24 (09) :1167-1183

[3]

Black M. J., 1993, [1993] Proceedings Fourth International Conference on Computer Vision, P231, DOI 10.1109/ICCV.1993.378214

[4]

BORMAN S, 1999, IEEE INT C IM PROC, V3, P469

[5] Efficient super-resolution via image warping [J].

Chiang, MC ;

Boult, TE .

IMAGE AND VISION COMPUTING, 2000, 18 (10) :761-771

[6] Restoration of a single superresolution image from several blurred, noisy, and undersampled measured images [J].

Elad, M ;

Feuer, A .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1997, 6 (12) :1646-1658

[7] Super-resolution reconstruction of image sequences [J].

Elad, M ;

Feuer, A .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1999, 21 (09) :817-834

[8] CONDITION OF SYSTEM MATRICES IN IMAGE-RESTORATION [J].

FORBES, K ;

ANH, VV .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (06) :1727-1735

[9]

Golub G. H., 1996, MATRIX COMPUTATIONS

[10] THE DISCRETE PICARD CONDITION FOR DISCRETE ILL-POSED PROBLEMS [J].

HANSEN, PC .

BIT NUMERICAL MATHEMATICS, 1990, 30 (04) :658-672

← 1 2 3 4 →