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Fourier implementation of Poisson image editing

J.-M. Morel, A.B. Petro, C. Sbert
2012 Pattern Recognition Letters  
This letter presents an exact and fast Fourier implementation of the Poisson editing equation proposed in (Pérez et al., 2003) .  ...  Poisson editing, introduced in 2003, is becoming a technique with major applications in many different domains of image processing and computer graphics.  ...  A review of Poisson image editing is presented in Section 2. Section 3 details the new implementation using the Fourier method. A number of possible choices for the guidance vector field is examined.  ... 
doi:10.1016/j.patrec.2011.10.010 fatcat:qtdk6qcarbcntmngb3zpxm3zne

Poisson Image Editing

J. Matías Di Martino, Gabriele Facciolo, Enric Meinhardt-Llopis
2016 Image Processing On Line  
The gradient of images can be directly edited to perform useful operations; this is called gradientbased image processing or Poisson editing.  ...  In the present work we will describe the Poisson image editing method, and review the contributions that have been made since it was proposed in 2003.  ...  Image Credits The authors CC-BY Ipol.im 8 Edward H. Adelson 9 YRC Public Image Repository 10  ... 
doi:10.5201/ipol.2016.163 fatcat:uwgnmdbvqvcbpouvgzanlgw7li

A real-time screened-Poisson solver for interactive surface editing

Ming Chuang, Michael Kazhdan
2010 Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games - I3D 10  
Drawing on previous work in image-and geometry-processing, we show that the frequency-space filtering performed in mesh smoothing and sharpening can be formulated as the solution to a Poisson-like system  ...  Using this observation, we design an interactive system that supports both global and local modulation of surface detail, expressing the position of vertices on the edited geometry as the solution to a  ...  recent work in image-processing that relates Fourier-space filtering of images to the solution of a Poisson-like equation [Bhat et al. 2008] .  ... 
doi:10.1145/1730804.1730980 dblp:conf/si3d/ChuangK10 fatcat:mfh4fzxnzrayjkln7bw4sxvfj4

Selective Contrast Adjustment by Poisson Equation

Ana-Belen Petro, Catalina Sbert
2013 Image Processing On Line  
Poisson Image Editing is a new technique permitting to modify the gradient vector field of an image, and then to recover an image with a gradient approaching this modified gradient field.  ...  This amounts to solve a Poisson equation, an operation which can be efficiently performed by Fast Fourier Transform (FFT).  ...  Image Credits Catalina Sbert CC-BY. A.B. Petro CC-BY. Photography courtesy Philip Greenspun 3 .  ... 
doi:10.5201/ipol.2013.41 fatcat:yaosbky3k5eo5byw4stuvidbqa

Retinex Poisson Equation: a Model for Color Perception

Nicolas Limare, Ana Belén Petro, Catalina Sbert, Jean-Michel Morel
2011 Image Processing On Line  
It also is one of the "Poisson editing" equations proposed in Perez et al. (ref. 3). The final principle of the algorithm is extremely simple.  ...  The formalization proved in ref. 1 yields a fast implementation of the Land-McCann original theory using only two DFT's. You can test the theory on line on your own color images .  ...  It also is one of the "Poisson editing" equations proposed in Perez et al. (ref. 3). The final principle of the algorithm is extremely simple.  ... 
doi:10.5201/ipol.2011.lmps_rpe fatcat:funvnlqfivauxahbq2uav4wliq

Modified iterative method with red-black ordering for image composition using poisson equation

Zakariah Aris, Nordin Saad, A'qilah Ahmad Dahalan, Andang Sunarto, Azali Saudi
2021 Bulletin of Electrical Engineering and Informatics  
Several examples were tested to examine the effectiveness of the proposed method in solving the poisson equation for image composition.  ...  This paper presents an image composition procedure based on numerical differentiation using the laplacian operator to obtain the solution of the poisson equation.  ...  Sbert [13] proposed a fourier implementation to solve the poisson equation for image processing.  ... 
doi:10.11591/eei.v10i4.3076 fatcat:hipg6au6g5dolnshhbkv2wd5ym

Fast and Optimal Laplacian Solver for Gradient-Domain Image Editing using Green Function Convolution [article]

Dominique Beaini, Sofiane Achiche, Fabrice Nonez, Olivier Brochu Dufour, Cédric Leblond-Ménard, Mahdis Asaadi, Maxime Raison
2019 arXiv   pre-print
The objective of this paper is to present a novel fast and robust method of solving the image gradient or Laplacian with minimal error, which can be used for gradient domain editing.  ...  It can also be optimized on a GPU using fast Fourier transforms and can easily be generalized for an n dimension image.  ...  Poisson blending Poisson blending is a type of GDIE that allows to merge the gradient of 2 different images, such that the blending is seamless.  ... 
arXiv:1902.00176v2 fatcat:u2jl6csk3rhsjbzlanghjatq5a

Screened Poisson Equation for Image Contrast Enhancement

Jean-Michel Morel, Ana-Belen Petro, Catalina Sbert
2014 Image Processing On Line  
The online demo allows one to try Screened Poisson Equation on any uploaded image choosing the tradeoff parameter λ and the level of saturation of the simplest color balance s.  ...  In this work we propose a discussion and detailed implementation of a very simple gradient domain method that tries to eliminate the effect of nonuniform illumination and at the same time preserves the  ...  The basic idea of the Poisson editing reconstruction is to find a function u whose gradient field best approximates a given vector field V in the L 2 norm.  ... 
doi:10.5201/ipol.2014.84 fatcat:kr53bglorzgm7f5iwh7a2uui24

Performance Analysis of Solving Poisson Image Blending Problem by Four-Point EGAOR Iterative Method

Jeng Hong Eng, Azali Saudi, Jumat Sulaiman
2019 Malaysian Journal of Science  
Poisson image blending is one of the useful editing tools in image processing to generate a desirable image which is impossible to acquire.  ...  To evaluate its effectiveness, the formulation and implementation of 4-EGAOR, SOR and AOR iterative methods are demonstrated.  ...  On account of this, Fourier method was implemented. This is a fast and efficient noniterative type of solver.  ... 
doi:10.22452/mjs.sp2019no1.5 fatcat:c3gc2lo2gvf7lcp7huavsikh6q

Nonlinear Spectral Image Fusion [chapter]

Martin Benning, Michael Möller, Raz Z. Nossek, Martin Burger, Daniel Cremers, Guy Gilboa, Carola-Bibiane Schönlieb
2017 Lecture Notes in Computer Science  
We illustrate the effectiveness of the proposed approach in several numerical experiments, including a comparison to the competing techniques of Poisson image editing, linear osmosis, wavelet fusion and  ...  We conclude that the proposed spectral TV image decomposition framework is a valuable tool for semi-and fullyautomatic image editing and fusion.  ...  MBe further acknowledges support from the Leverhulme Trust early career fellowship "Learning from mistakes: a supervised feedback-loop for imaging applications" and the Newton Trust.  ... 
doi:10.1007/978-3-319-58771-4_4 fatcat:xizsbwr52bggzi6dps36oti2zi

Nonlinear Spectral Image Fusion [article]

Martin Benning, Michael Möller, Raz Z. Nossek, Martin Burger, Daniel Cremers, Guy Gilboa, Carola-Bibiane Schönlieb
2017 arXiv   pre-print
We illustrate the effectiveness of the proposed approach in several numerical experiments, including a comparison to the competing techniques of Poisson image editing, linear osmosis, wavelet fusion and  ...  We conclude that the proposed spectral TV image decomposition framework is a valuable tool for semi- and fully-automatic image editing and fusion.  ...  MBe further acknowledges support from the Leverhulme Trust early career fellowship "Learning from mistakes: a supervised feedback-loop for imaging applications" and the Newton Trust.  ... 
arXiv:1703.08001v1 fatcat:k4z2lwworvdbfp3fdqctxjppza

Fourier Analysis of the 2D Screened Poisson Equation for Gradient Domain Problems [chapter]

Pravin Bhat, Brian Curless, Michael Cohen, C. Lawrence Zitnick
2008 Lecture Notes in Computer Science  
Results using a DCT-based screened Poisson solver are demonstrated on several applications including image blending for panoramas, image sharpening, and de-blocking of compressed images.  ...  Analysis of this equation in the Fourier domain leads to a direct, exact, and efficient solution to the problem.  ...  Sameer also identified the connection to the screened Poisson equation. This work was supported by Microsoft, Adobe, the University of Washington Animation Research Labs, and an NVIDIA fellowship.  ... 
doi:10.1007/978-3-540-88688-4_9 fatcat:asvklb7xljh6lexxnabw3d2jym

Accelerated Red-Black Strategy for Image Composition Using Laplacian Operator

Nordin Saad, Andang Sunarto, Azali Saudi
2021 International Journal of Computing and Digital Systems  
Image composition based on numerical differentiation using the Laplacian operator to obtain the solution of the Poisson equation is presented.  ...  Digital image composition deals with the problem of embedding portions of the source image into the target image to generate a single desirable image seamlessly.  ...  More recently, image editing based on Fourier implementation was proposed by Morel et al. [12] .  ... 
doi:10.12785/ijcds/100198 fatcat:ej42hw7aqngnzpr5y6stljsmhq

Performance Analysis of the Explicit Decoupled Group Iteration via Five-Point Rotated Laplacian Operator in Solving Poisson Image Blending Problem

Jeng Hong Eng, Azali Saudi, Jumat Sulaiman
2018 Indian Journal of Science and Technology  
Objectives: This study examines the potential of Explicit Decoupled Group (EDG) iterative method to solve Poisson image blending problem in terms of blending iterations, time and the quality of newly blended  ...  images.  ...  They utilized the potential of Poisson equation in image processing and came out an idea of image editing by applying Poisson equation.  ... 
doi:10.17485/ijst/2018/v11i12/120852 fatcat:lcm2p4iy7jc2pgfbxiylnu42r4

Theory and methods of lightfield photography

Todor Georgiev, Andrew Lumsdaine
2009 ACM SIGGRAPH ASIA 2009 Courses on - SIGGRAPH ASIA '09  
As part of the course, we will demonstrate a number of working light-field cameras that implement different methods for radiance capture, including the microlens approach of Lippmann and the plenoptic  ...  At the same time, 2D image creation is based on creating 2D projections of the 4D radiance.  ...  He is the author of the Healing Brush tool in Photoshop (2002) , the method better known as Poisson image editing.  ... 
doi:10.1145/1665817.1665835 dblp:conf/siggraph/GeorgievL09 fatcat:6m3aawpuzzhcnfgs6or5my5wta
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