An Analysis on Implementation of Various Deblurring Techniques in Image Processing
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Blind Image Deconvolution of Linear Motion Blur
Blind image deconvolution of linear motion blur Florian Brusius, Ulrich Schwanecke, and Peter Barth RheinMain University of Applied Sciences, Wiesbaden, Germany Abstract. We present an efficient method to deblur images for informa- tion recognition. The method is successfully applied directly on mobile devices as a preprocessing phase to images of barcodes. Our main con- tribution is the fast identifaction of blur length and blur angle in the fre- quency domain by an adapted radon transform. As a result, the barcode recognition rate of the deblurred images has been increased significantly. Keywords: Blind deconvolution, image restoration, deblurring, motion blur estimation, barcodes, mobile devices, radon transform 1 Introduction Increasingly, mobile smartphone cameras are used as alternative input devices providing context information { most often in the form of barcodes. The pro- cessing power of smartphones has reached a state to allow to recognise all kinds of visually perceptible information, like machine-readable barcode tags and the- oretically even printed text, shapes, and faces. This makes the camera act as an one-click link between the real world and the digital world inside the device [9]. However, to reap the benefits of this method the image has to be correctly recognised under various circumstances. This depends on the quality of the cap- tured image and is therefore highly susceptible to all kinds of distortions and noise. The photographic image might be over- or underexposed, out of focus, perspectively distorted, noisy or blurred by relative motion between the camera and the imaged object. Unfortunately, all of those problems tend to occur even more on very small cameras. -
Strehl Ratio for Primary Aberrations: Some Analytical Results for Circular and Annular Pupils
1258 J. Opt. Soc. Am./Vol. 72, No. 9/September 1982 Virendra N. Mahajan Strehl ratio for primary aberrations: some analytical results for circular and annular pupils Virendra N. Mahajan The Charles Stark Draper Laboratory, Inc., Cambridge, Massachusetts 02139 Received February 9,1982 Imaging systems with circular and annular pupils aberrated by primary aberrations are considered. Both classical and balanced (Zernike) aberrations are discussed. Closed-form solutions are derived for the Strehl ratio, except in the case of coma, for which the integral form is used. Numerical results are obtained and compared with Mar6- chal's formula for small aberrations. It is shown that, as long as the Strehl ratio is greater than 0.6, the Markchal formula gives its value with an error of less than 10%. A discussion of the Rayleigh quarter-wave rule is given, and it is shown that it provides only a qualitative measure of aberration tolerance. Nonoptimally balanced aberrations are also considered, and it is shown that, unless the Strehl ratio is quite high, an optimally balanced aberration does not necessarily give a maximum Strehl ratio. 1. INTRODUCTION is shown that, unless the Strehl ratio is quite high, an opti- In a recent paper,1 we discussed the problem of balancing a mally balanced aberration(in the sense of minimum variance) does not classical aberration in imaging systems having annular pupils give the maximum possible Strehl ratio. As an ex- ample, spherical with one or more aberrations of lower order to minimize its aberration is discussed in detail. A certain variance. By using the Gram-Schmidt orthogonalization amount of spherical aberration is balanced with an appro- process, polynomials that are orthogonal over an annulus were priate amount of defocus to minimize its variance across the pupil. -
Doctor of Philosophy
RICE UNIVERSITY 3D sensing by optics and algorithm co-design By Yicheng Wu A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE Doctor of Philosophy APPROVED, THESIS COMMITTEE Ashok Veeraraghavan (Apr 28, 2021 11:10 CDT) Richard Baraniuk (Apr 22, 2021 16:14 ADT) Ashok Veeraraghavan Richard Baraniuk Professor of Electrical and Computer Victor E. Cameron Professor of Electrical and Computer Engineering Engineering Jacob Robinson (Apr 22, 2021 13:54 CDT) Jacob Robinson Associate Professor of Electrical and Computer Engineering and Bioengineering Anshumali Shrivastava Assistant Professor of Computer Science HOUSTON, TEXAS April 2021 ABSTRACT 3D sensing by optics and algorithm co-design by Yicheng Wu 3D sensing provides the full spatial context of the world, which is important for applications such as augmented reality, virtual reality, and autonomous driving. Unfortunately, conventional cameras only capture a 2D projection of a 3D scene, while depth information is lost. In my research, I propose 3D sensors by jointly designing optics and algorithms. The key idea is to optically encode depth on the sensor measurement, and digitally decode depth using computational solvers. This allows us to recover depth accurately and robustly. In the first part of my thesis, I explore depth estimation using wavefront sensing, which is useful for scientific systems. Depth is encoded in the phase of a wavefront. I build a novel wavefront imaging sensor with high resolution (a.k.a. WISH), using a programmable spatial light modulator (SLM) and a phase retrieval algorithm. WISH offers fine phase estimation with significantly better spatial resolution as compared to currently available wavefront sensors. -
Aperture-Based Correction of Aberration Obtained from Optical Fourier Coding and Blur Estimation
Research Article Vol. 6, No. 5 / May 2019 / Optica 647 Computational aberration compensation by coded- aperture-based correction of aberration obtained from optical Fourier coding and blur estimation 1, 2 2 3 1 JAEBUM CHUNG, *GLORIA W. MARTINEZ, KAREN C. LENCIONI, SRINIVAS R. SADDA, AND CHANGHUEI YANG 1Department of Electrical Engineering, California Institute of Technology, Pasadena, California 91125, USA 2Office of Laboratory Animal Resources, California Institute of Technology, Pasadena, California 91125, USA 3Doheny Eye Institute, University of California-Los Angeles, Los Angeles, California 90033, USA *Corresponding author: [email protected] Received 29 January 2019; revised 8 April 2019; accepted 12 April 2019 (Doc. ID 359017); published 10 May 2019 We report a novel generalized optical measurement system and computational approach to determine and correct aberrations in optical systems. The system consists of a computational imaging method capable of reconstructing an optical system’s pupil function by adapting overlapped Fourier coding to an incoherent imaging modality. It re- covers the high-resolution image latent in an aberrated image via deconvolution. The deconvolution is made robust to noise by using coded apertures to capture images. We term this method coded-aperture-based correction of aberration obtained from overlapped Fourier coding and blur estimation (CACAO-FB). It is well-suited for various imaging scenarios where aberration is present and where providing a spatially coherent illumination is very challenging or impossible. We report the demonstration of CACAO-FB with a variety of samples including an in vivo imaging experi- ment on the eye of a rhesus macaque to correct for its inherent aberration in the rendered retinal images. -
Physics of Digital Photography Index
1 Physics of digital photography Author: Andy Rowlands ISBN: 978-0-7503-1242-4 (ebook) ISBN: 978-0-7503-1243-1 (hardback) Index (Compiled on 5th September 2018) Abbe cut-off frequency 3-31, 5-31 Abbe's sine condition 1-58 aberration function see \wavefront error function" aberration transfer function 5-32 aberrations 1-3, 1-8, 3-31, 5-25, 5-32 absolute colourimetry 4-13 ac value 3-13 achromatic (colour) see \greyscale" acutance 5-38 adapted homogeneity-directed see \demosaicing methods" adapted white 4-33 additive colour space 4-22 Adobe® colour matrix 4-42, 4-43 Adobe® digital negative 4-40, 4-42 Adobe® forward matrix 4-41, 4-42, 4-47, 4-49 Adobe® Photoshop® 4-60, 4-61, 5-45 Adobe® RGB colour space 4-27, 4-60, 4-61 adopted white 4-33, 4-34 Airy disk 3-15, 3-27, 5-33, 5-46, 5-49 aliasing 3-43, 3-44, 3-47, 5-42, 5-45 amplitude OTF see \amplitude transfer function" amplitude PSF 3-26 amplitude transfer function 3-26 analog gain 2-24 analog-to-digital converter 2-2, 2-5, 3-61, 5-56 analog-to-digital unit see \digital number" angular field of view 1-21, 1-23, 1-24 anti-aliasing filter 5-45, also see \optical low-pass filter” aperture-diffraction PSF 3-27, 5-33 aperture-diffraction MTF 3-29, 5-31, 5-33, 5-35 aperture function 3-23, 3-26 aperture priority mode 2-32, 5-71 2 aperture stop 1-22 aperture value 1-56 aplanatic lens 1-57 apodisation filter 5-34 arpetal ratio 1-50 astigmatism 5-26 auto-correlation 3-30 auto-ISO mode 2-34 average photometry 2-17, 2-18 backside-illuminated device 3-57, 5-58 band-limited function 3-45, 5-44 banding see \posterisation" -
Tese De Doutorado Nº 200 a Perifocal Intraocular Lens
TESE DE DOUTORADO Nº 200 A PERIFOCAL INTRAOCULAR LENS WITH EXTENDED DEPTH OF FOCUS Felipe Tayer Amaral DATA DA DEFESA: 25/05/2015 Universidade Federal de Minas Gerais Escola de Engenharia Programa de Pós-Graduação em Engenharia Elétrica A PERIFOCAL INTRAOCULAR LENS WITH EXTENDED DEPTH OF FOCUS Felipe Tayer Amaral Tese de Doutorado submetida à Banca Examinadora designada pelo Colegiado do Programa de Pós- Graduação em Engenharia Elétrica da Escola de Engenharia da Universidade Federal de Minas Gerais, como requisito para obtenção do Título de Doutor em Engenharia Elétrica. Orientador: Prof. Davies William de Lima Monteiro Belo Horizonte – MG Maio de 2015 To my parents, for always believing in me, for dedicating themselves to me with so much love and for encouraging me to dream big to make a difference. "Aos meus pais, por sempre acreditarem em mim, por se dedicarem a mim com tanto amor e por me encorajarem a sonhar grande para fazer a diferença." ACKNOWLEDGEMENTS I would like to acknowledge all my friends and family for the fondness and incentive whenever I needed. I thank all those who contributed directly and indirectly to this work. I thank my parents Suzana and Carlos for being by my side in the darkest hours comforting me, advising me and giving me all the support and unconditional love to move on. I thank you for everything you taught me to be a better person: you are winners and my life example! I thank Fernanda for being so lovely and for listening to my ideas and for encouraging me all the time. -
Use of a Priori Information for the Deconvolution of Ultrasonic Signals
USE OF A PRIORI INFORMATION FOR THE DECONVOLUTION OF ULTRASONIC SIGNALS 1. Sallard, L. Paradis Commissariat aI 'Energie atomique, CEREMISTA CE Saclay Bat. 611, 91191 Gif sur Yvette Cedex, France INTRODUCTION The resolution of pulse-echo imaging technique is limited by the band-width of the transducer impulse response (IR). For flaws sizing or thickness measurement simple and accurate methods exist if the echoes do not overlap. These classical methods break if the echoes can not be separated in time domain. A way to enhance the resolution is to perform deconvolution of the ultrasonic data. The measured signal is modeled as the convolution between the ultrasonic pulse and the IR of the investigated material. The inverse problem is highly ill-conditionned and must be regularized to obtain a meaningful result. Several deconvolution techniques have been proposed to improve the resolution of ultrasonic signals. Among the widely used are LI-norm deconvolution [1], minimum variance deconvolution [2] and especially Wiener deconvolution [3]. Performance of most deconvolution procedures are affected either by narrow-band data, noise contamination or closely spaced events. In the case of seismic deconvolution Kormylo and Mendel overcome these limitations by introducing a priori information on the solution. This is done by modeling the reflectivity sequence as a Bernoulli-Gaussian (BG) process. The deconvolution procedure is then based on the maximization of an a posteriori likelihood function. In this article we first take as example the well-known Wiener fllter to describe why ifno assumptions are made on the solution, the classical deconvolution procedures fail to significantly increase the resolution of ultrasonic data. -
Effect of Positive and Negative Defocus on Contrast Sensitivity in Myopes
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Vision Research 44 (2004) 1869–1878 www.elsevier.com/locate/visres Effect of positive and negative defocus on contrast sensitivity in myopes and non-myopes Hema Radhakrishnan *, Shahina Pardhan, Richard I. Calver, Daniel J. O’Leary Department of Optometry and Ophthalmic Dispensing, Anglia Polytechnic University, East Road, Cambridge CB1 1PT, UK Received 22 October 2003; received in revised form 8 March 2004 Abstract This study investigated the effect of lens induced defocus on the contrast sensitivity function in myopes and non-myopes. Contrast sensitivity for up to 20 spatialfrequencies ranging from 1 to 20 c/deg was measured with verticalsine wave gratings under cycloplegia at different levels of positive and negative defocus in myopes and non-myopes. In non-myopes the reduction in contrast sensitivity increased in a systematic fashion as the amount of defocus increased. This reduction was similar for positive and negative lenses of the same power (p ¼ 0:474). Myopes showed a contrast sensitivity loss that was significantly greater with positive defocus compared to negative defocus (p ¼ 0:001). The magnitude of the contrast sensitivity loss was also dependent on the spatial frequency tested for both positive and negative defocus. There was significantly greater contrast sensitivity loss in non-myopes than in myopes at low-medium spatial frequencies (1–8 c/deg) with negative defocus. Latent accommodation was ruled out as a contributor to this difference in myopes and non-myopes. In another experiment, ocular aberrations were measured under cycloplegia using a Shack– Hartmann aberrometer. -
Deep Wiener Deconvolution: Wiener Meets Deep Learning for Image Deblurring
Deep Wiener Deconvolution: Wiener Meets Deep Learning for Image Deblurring Jiangxin Dong Stefan Roth MPI Informatics TU Darmstadt [email protected] [email protected] Bernt Schiele MPI Informatics [email protected] Abstract We present a simple and effective approach for non-blind image deblurring, com- bining classical techniques and deep learning. In contrast to existing methods that deblur the image directly in the standard image space, we propose to perform an explicit deconvolution process in a feature space by integrating a classical Wiener deconvolution framework with learned deep features. A multi-scale feature re- finement module then predicts the deblurred image from the deconvolved deep features, progressively recovering detail and small-scale structures. The proposed model is trained in an end-to-end manner and evaluated on scenarios with both simulated and real-world image blur. Our extensive experimental results show that the proposed deep Wiener deconvolution network facilitates deblurred results with visibly fewer artifacts. Moreover, our approach quantitatively outperforms state-of-the-art non-blind image deblurring methods by a wide margin. 1 Introduction Image deblurring is a classical image restoration problem, which has attracted widespread atten- tion [e.g.,1,3,9, 10, 56]. It is usually formulated as y = x ∗ k + n; (1) where y; x; k, and n denote the blurry input image, the desired clear image, the blur kernel, and image noise, respectively. ∗ is the convolution operator. Traditional methods usually separate this problem arXiv:2103.09962v1 [cs.CV] 18 Mar 2021 into two phases, blur kernel estimation and image restoration (i.e., non-blind image deblurring). -
1 Long Wave Infrared Scan Lens Design and Distortion
LONG WAVE INFRARED SCAN LENS DESIGN AND DISTORTION CORRECTION by Andy McCarron ____________________________ Copyright © Andy McCarron 2016 A Thesis Submitted to the Faculty of the DEPARTMENT OF OPTICAL SCIENCES In Partial Fulfillment of the Requirements For the Degree of MASTER OF SCIENCE In the Graduate College THE UNIVERSITY OF ARIZONA 2016 1 STATEMENT BY AUTHOR The thesis titled Long Wave Infrared Scan Len Design and Distortion Correction prepared by Andy McCarron has been submitted in partial fulfillment of requirements for a master’s degree at the University of Arizona and is deposited in the University Library to be made available to borrowers under rules of the Library. Brief quotations from this thesis are allowable without special permission, provided that an accurate acknowledgement of the source is made. Requests for permission for extended quotation from or reproduction of this manuscript in whole or in part may be granted by the head of the major department or the Dean of the Graduate College when in his or her judgment the proposed use of the material is in the interests of scholarship. In all other instances, however, permission must be obtained from the author. SIGNED: __________________________Andy McCarron Andy McCarron APPROVAL BY THESIS DIRECTOR This thesis has been approved on the date shown below: 24 August, 2019 Jose Sasian Date Professor of Optical Sciences 2 ACKNOWLEDGEMENTS Special thanks to Professor Jose Sasian for Chairing this Thesis Committee, and to Committee Members Professor John Grievenkamp, and Professor Matthew Kupinski. I’ve learned all lot from each of you through the years. Thanks to Markem-Imaje for financial support. -
Chapter 8 Aberrations Chapter 8
Chapter 8 Aberrations Chapter 8 Aberrations In the analysis presented previously, the mathematical models were developed assuming perfect lenses, i.e. the lenses were clear and free of any defects which modify the propagating optical wavefront. However, it is interesting to investigate the effects that departures from such ideal cases have upon the resolution and image quality of a scanning imaging system. These departures are commonly referred to as aberrations [23]. The effects of aberrations in optical imaging systems is a immense subject and has generated interest in many scientific fields, the majority of which is beyond the scope of this thesis. Hence, only the common forms of aberrations evident in optical storage systems will be discussed. Two classes of aberrations are defined, monochromatic aberrations - where the illumination is of a single wavelength, and chromatic aberrations - where the illumination consists of many different wavelengths. In the current analysis only an understanding of monochromatic aberrations and their effects is required [4], since a source of illumination of a single wavelength is generally employed in optical storage systems. The following chapter illustrates how aberrations can be modelled as a modification of the aperture pupil function of a lens. The mathematical and computational procedure presented in the previous chapters may then be used to determine the effects that aberrations have upon the readout signal in optical storage systems. Since the analysis is primarily concerned with the understanding of aberrations and their effects in optical storage systems, only the response of the Type 1 reflectance and Type 1 differential detector MO scanning microscopes will be investigated. -
Enhanced Phase Contrast Transfer Using Ptychography Combined with a Pre-Specimen Phase Plate in a Scanning Transmission Electron Microscope
Lawrence Berkeley National Laboratory Recent Work Title Enhanced phase contrast transfer using ptychography combined with a pre-specimen phase plate in a scanning transmission electron microscope. Permalink https://escholarship.org/uc/item/0p49p23d Journal Ultramicroscopy, 171 ISSN 0304-3991 Authors Yang, Hao Ercius, Peter Nellist, Peter D et al. Publication Date 2016-12-01 DOI 10.1016/j.ultramic.2016.09.002 Peer reviewed eScholarship.org Powered by the California Digital Library University of California Ultramicroscopy 171 (2016) 117–125 Contents lists available at ScienceDirect Ultramicroscopy journal homepage: www.elsevier.com/locate/ultramic Enhanced phase contrast transfer using ptychography combined with a pre-specimen phase plate in a scanning transmission electron microscope Hao Yang a, Peter Ercius a, Peter D. Nellist b, Colin Ophus a,n a Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA b Department of Materials, University of Oxford, Parks Road, Oxford OX1 3PH, UK article info abstract Article history: The ability to image light elements in both crystalline and noncrystalline materials at near atomic re- Received 13 April 2016 solution with an enhanced contrast is highly advantageous to understand the structure and properties of Received in revised form a wide range of beam sensitive materials including biological specimens and molecular hetero-struc- 30 August 2016 tures. This requires the imaging system to have an efficient phase contrast transfer at both low and high Accepted 11 September 2016 spatial frequencies. In this work we introduce a new phase contrast imaging method in a scanning Available online 14 September 2016 transmission electron microscope (STEM) using a pre-specimen phase plate in the probe forming Keywords: aperture, combined with a fast pixelated detector to record diffraction patterns at every probe position, STEM and phase reconstruction using ptychography.