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3D Seismic Data Fusion and Filtering using a PDE-Based Approach

Sorin Pop, Romulus Terebes, Monica Borda, Sebastien Guillon, Naamen Keskes, Pierre Baylou, Olivier Lavialle
2007 2007 IEEE International Conference on Image Processing  
We propose to combine low-level fusion and diffusion processes through the use of a unique model based on Partial Differential Equations (PDE).  ...  In order to aid the interpretation of seismic data, we present a new method for the denoising and fusion of multiple 3D registered blocks of the same area of subsoil.  ...  Recently, specific PDE-based approaches were devoted to the seismic 3D filtering [11] [12] [13] [14] . In the next section, we will introduce a PDE formulation for fusion-diffusion process.  ... 
doi:10.1109/icip.2007.4379968 dblp:conf/icip/PopTBGKBL07 fatcat:44irx4i325g5hgpyl3dfsdh3ry

Fractional Multiscale Fusion-based De-hazing [article]

Uche A. Nnolim
2018 arXiv   pre-print
This report presents the results of a proposed multi-scale fusion-based single image de-hazing algorithm, which can also be used for underwater image enhancement.  ...  Results indicate mostly consistent and good results for both categories of images when compared with other algorithms from the literature.  ...  These are primarily classified as restoration and enhancement-based approaches. Furthermore, a third category is the fusion-based methods, which is similar to a hybrid approach.  ... 
arXiv:1808.09697v1 fatcat:ubcpneapgnfjdhahstg5lsoika

Focus Fusion with Anisotropic Depth Map Smoothing [chapter]

Madina Boshtayeva, David Hafner, Joachim Weickert
2013 Lecture Notes in Computer Science  
To this end, we consider a partial differential equation (PDE) for the depth map.  ...  Focus fusion methods combine a set of images focused at different depths into a single image where all parts are in focus.  ...  Our PDE-Based Approach Let us now discuss our PDE-based approach that allows to find the desired depth map.  ... 
doi:10.1007/978-3-642-40246-3_9 fatcat:y2bvqiybfrex5hdzhkynu6imiy

Analysis of Probabilistic multi-scale fractional order fusion-based de-hazing algorithm [article]

U. A. Nnolim
2019 arXiv   pre-print
In this report, a de-hazing algorithm based on probability and multi-scale fractional order-based fusion is proposed.  ...  The proposed scheme improves on a previously implemented multiscale fraction order-based fusion by augmenting its local contrast and edge sharpening features.  ...  The deep learning-based approaches are highly involved, requiring a large image database for training.  ... 
arXiv:1905.04302v1 fatcat:giqvf4aygvdexfdvf3wcc27ghy

Image enhancement using hybrid shock filters

C. Ludusan, O. Lavialle, R. Terebes, M. Borda, S. Pop
2010 2010 IEEE International Conference on Automation, Quality and Testing, Robotics (AQTR)  
We present a new approach based on Partial Differential Equations (PDEs) and shock filter theory for deblurring 2D Gaussian blurred images.  ...  This approach is not well suited for diffusion-oriented techniques since in this case the problem is ill-posed, but when dealing with multiple inputs (the case of fusion methods), it proves to provide  ...  The PDE-based non-local filtering method described in [1] is not directly linked to the notion of shock filter to its strictest of senses since it uses the PDE formalism to describe a non-local time  ... 
doi:10.1109/aqtr.2010.5520666 fatcat:sav3r4hbmfcdndjomvvsnbevxi

Improved partial differential equation and fast approximation algorithm for hazy/underwater/dust storm image enhancement

Uche Nnolim .
2019 Advances In Image and Video Processing  
in a PDE-based formulation.  ...  Additionally, PDE-based enhancement-based approaches have been applied to de-hazing and underwater image processing [15] [16] [17] [18] .  ...  The outline of the paper is as follows; the second section presents a brief overview and background relating to illumination and reflectance estimation.  ... 
doi:10.14738/aivp.73.6694 fatcat:j6him27darhyziw2gzq5y55e34

Composed Segmentation of Tubular Structures by an Anisotropic PDE Model [chapter]

Elena Franchini, Serena Morigi, Fiorella Sgallari
2009 Lecture Notes in Computer Science  
The reconstruction is obtained by continuously deforming an initial distance function following the Partial Differential Equation (PDE)-based diffusion model derived from a minimal volumelike variational  ...  The gradient flow for this functional leads to a nonlinear curvature motion model. An anisotropic variant is provided which includes a diffusion tensor aimed to follow the tube geometry.  ...  A number of deformable model-based approaches for vessel segmentation or, generally tube-like structures, have received considerable attention and success.  ... 
doi:10.1007/978-3-642-02256-2_7 fatcat:wdvil66w7zefbl2fcyz65ksuxy

A real-time curve evolution-based image fusion algorithm for multisensory image segmentation

Yuhuan Ding, G.J. Vachtsevanos, A.J. Yezzi, W. Daley, B.S. Heck-Ferri
2003 2003 International Conference on Multimedia and Expo. ICME '03. Proceedings (Cat. No.03TH8698)  
A partial differential equation (PDE)-based feature-level image fusion approach is proposed for multisensory image segmentation.  ...  The energy functional of the proposed fusion model is a weighted sum of several functionals, each constructed based on the characteristics of the sensor image.  ...  The authors also wish to thank Tyson Foods, Inc. and Cagle's Inc. for supplying chicken parts during the development and testing of the system.  ... 
doi:10.1109/icme.2003.1220931 dblp:conf/icmcs/DingVYDH03 fatcat:4ksgfy4y7neozl2ns4sadnwnky

Deep Posterior Distribution-based Embedding for Hyperspectral Image Super-resolution [article]

Jinhui Hou, Zhiyu Zhu, Junhui Hou, Huanqiang Zeng, Jinjian Wu, Jiantao Zhou
2022 arXiv   pre-print
Besides, the probabilistic characteristic of this kind of networks can provide the epistemic uncertainty of the network outputs, which may bring additional benefits when used for other HS image-based applications  ...  Then, we incorporate the proposed feature embedding scheme into a source-consistent super-resolution framework that is physically-interpretable, producing lightweight PDE-Net, in which high-resolution  ...  We compared the proposed PDE-Net with 5 state-of-the-art deep learning-based methods, i.e., 3DFCNN [7] , 3DGAN [8] , SSPSR [11] , MCNet [10] , and ERCSR [9] .  ... 
arXiv:2205.14887v2 fatcat:iw4l2d3gczh7pjvnyi2cqdhbzq

Early Detection and Classification Approach for Plant Diseases based on MultiScale Image Decomposition

Assia Ennouni, Noura Ouled Sihamman, My Abdelouahed Sabri, Abdellah Aarab
2021 Journal of Computer Science  
The main contribution of this paper is that a hybrid approach is proposed by using the combination of Partial Differential Equations (PDE) based image decomposition, segmentation, feature extraction, features  ...  This paper presents a new and powerful approach for detecting and classifying leaf diseases for plant diagnosis with high accuracy.  ...  Acknowledgment We would like to express our gratitude and thank you to the laboratories LISAC and LESSI and the Faculty of Sciences, University Sidi Mohamed Ben Abdellah, Fez, Morocco for the funding and  ... 
doi:10.3844/jcssp.2021.284.295 fatcat:l6qo5l36vngybkks4hxhngxbgu

Variational Osmosis for Non-linear Image Fusion [article]

Simone Parisotto, Luca Calatroni, Aurélie Bugeau, Nicolas Papadakis, Carola-Bibiane Schönlieb
2020 arXiv   pre-print
We propose a new variational model for non-linear image fusion.  ...  For the numerical solution of the proposed model, we develop a primal-dual algorithm and we apply the resulting minimization scheme to solve multi-modal face fusion, color transfer and cultural heritage  ...  Joachim Weickert for fruitful discussions related to this work. SP acknowledges the Leverhulme Trust project on "Unveiling the invisible: mathematics for conservation in arts and humanities".  ... 
arXiv:1910.02012v2 fatcat:y2ho26ma5bbmbdw5u4humruwmy

Infrared Target Detection and Location for Visual Surveillance Using Fusion Scheme of Visible and Infrared Images

Zi-Jun Feng, Xiao-Ling Zhang, Li-Yong Yuan, Jia-Nan Wang
2013 Mathematical Problems in Engineering  
In this study, a simple and efficient image fusion approach based on the application of the histogram of infrared images is proposed.  ...  The main goal of image fusion is to combine substantial information from different images of the same scene into a single image that is suitable for human and machine perception or for further image-processing  ...  PDE-based and improved PDE approaches have been successfully applied in image denoising, segmentation, enhancement, and restoration [15] [16] [17] [18] .  ... 
doi:10.1155/2013/720979 fatcat:kjmacfoo4jetzo2lymxvst64ci

Pan-sharpening: a fast variational fusion approach

ZeMing Zhou, YuanXiang Li, HanQing Shi, Ning Ma, Ji Shen
2012 Science China Information Sciences  
A fast variational fusion model based on partial differential equations (PDEs) is presented for pansharpening. The functional framework consists of several energy terms.  ...  In comparison with the state-of-the-art fusion approaches based onà trous wavelet and non-sampled contourlet, our model can obtain the fused image with a high spatial or spectral quality by adjusting the  ...  Acknowledgements The authors would like to thank the reviewers for their detailed review and valuable comments.  ... 
doi:10.1007/s11432-011-4544-9 fatcat:szhwgk3iwjbfxho6uipfvsjpje

Optimized CUDA-Based PDE Solver for Reaction Diffusion Systems on Arbitrary Surfaces [chapter]

Samira Michèle Descombes, Daljit Singh Dhillon, Matthias Zwicker
2016 Lecture Notes in Computer Science  
We employ a finite element based approach to perform explicit Euler time integrations.  ...  In this paper, we present a highly optimized CUDA-based solver for RD equations on triangulated meshes in 3D.  ...  Unfortunately, current domain-specific languages for mesh based PDEs do not support this type of optimization.  ... 
doi:10.1007/978-3-319-32149-3_49 fatcat:qceizutd3ng53g2aobgepgn7xm

Automated crack segmentation via saturation channel thresholding, area classification and fusion of modified level set segmentation with Canny edge detection

Uche A. Nnolim
2020 Heliyon  
Furthermore, a binary fusion stage is incorporated for improved edge feature extraction.  ...  Additional modifications include a new energy function for active contour segmentation algorithm. Adaptive localized mask generation is also proposed for automatic region-based segmentation.  ...  Additional information No additional information is available for this paper.  ... 
doi:10.1016/j.heliyon.2020.e05748 pmid:33376821 pmcid:PMC7758374 fatcat:rodeohm7drbxdhutsxfvk3keua
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