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This volume presents the peer-reviewed proceedings of the international conference Imaging, Vision and Learning Based on Optimization and PDEs (IVLOPDE), held in Bergen, Norway, in August/September 2016. The contributions cover state-of-the-art research on mathematical techniques for image processing, computer vision and machine learning based on optimization and partial differential equations (PDEs). It has become an established paradigm to formulate problems within image processing and computer vision as PDEs, variational problems or finite dimensional optimization problems. This compact yet expressive framework makes it possible to incorporate a range of desired properties of the solutions and to design algorithms based on well-founded mathematical theory. A growing body of research has also approached more general problems within data analysis and machine learning from the same perspective, and demonstrated the advantages over earlier, more established algorithms. This volume will appeal to all mathematicians and computer scientists interested in novel techniques and analytical results for optimization, variational models and PDEs, together with experimental results on applications ranging from early image formation to high-level image and data analysis.

Image processing --- Digital techniques. --- Mathematics. --- Digital image processing --- Digital electronics --- Computer vision. --- Optical pattern recognition. --- Computer science --- Mathematical optimization. --- Differential equations, partial. --- Computer graphics. --- Image Processing and Computer Vision. --- Pattern Recognition. --- Computational Mathematics and Numerical Analysis. --- Optimization. --- Partial Differential Equations. --- Computer Graphics. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Partial differential equations --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Computer mathematics --- Discrete mathematics --- Optical data processing --- Pattern perception --- Perceptrons --- Visual discrimination --- Machine vision --- Vision, Computer --- Artificial intelligence --- Pattern recognition systems --- Digital techniques --- Mathematics --- Optical data processing. --- Pattern recognition. --- Computer mathematics. --- Partial differential equations. --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment

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Processament d'imatges --- Problemes inversos (Equacions diferencials) --- Equacions diferencials --- Anàlisi d'imatges --- Processament de dades fotogràfiques --- Processament de la imatge --- Tractament d'imatges --- Tractament de la imatge --- Processament òptic de dades --- Processament digital d'imatges --- Visió per ordinador --- Lectors òptics --- Sistemes d'imatges --- Image processing

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This volume presents the peer-reviewed proceedings of the international conference Imaging, Vision and Learning Based on Optimization and PDEs (IVLOPDE), held in Bergen, Norway, in August/September 2016. The contributions cover state-of-the-art research on mathematical techniques for image processing, computer vision and machine learning based on optimization and partial differential equations (PDEs). It has become an established paradigm to formulate problems within image processing and computer vision as PDEs, variational problems or finite dimensional optimization problems. This compact yet expressive framework makes it possible to incorporate a range of desired properties of the solutions and to design algorithms based on well-founded mathematical theory. A growing body of research has also approached more general problems within data analysis and machine learning from the same perspective, and demonstrated the advantages over earlier, more established algorithms. This volume will appeal to all mathematicians and computer scientists interested in novel techniques and analytical results for optimization, variational models and PDEs, together with experimental results on applications ranging from early image formation to high-level image and data analysis.

Partial differential equations --- Differential equations --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematical statistics --- Mathematics --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- computervisie --- patroonherkenning --- beeldverwerking --- differentiaalvergelijkingen --- factoranalyse --- machine learning --- automatisering --- grafische vormgeving --- informatica --- externe fixatie (geneeskunde --- wiskunde --- KI (kunstmatige intelligentie) --- optica --- AI (artificiële intelligentie)

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This volume constitutes the refereed proceedings of the 10th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2015, held in Hong Kong, China, in January 2015. The 36 revised full papers were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on discrete and continuous optimization; image restoration and inpainting; segmentation; PDE and variational methods; motion, tracking and multiview reconstruction; statistical methods and learning; and medical image analysis.

Computer Science. --- Pattern Recognition. --- Performance and Reliability. --- Image Processing and Computer Vision. --- Algorithm Analysis and Problem Complexity. --- Data Mining and Knowledge Discovery. --- Computer science. --- Operating systems (Computers). --- Computer software. --- Data mining. --- Computer vision. --- Optical pattern recognition. --- Informatique --- Systèmes d'exploitation (Ordinateurs) --- Logiciels --- Exploration de données (Informatique) --- Vision par ordinateur --- Reconnaissance optique des formes (Informatique) --- Engineering & Applied Sciences --- Electrical & Computer Engineering --- Electrical Engineering --- Computer Science --- Machine vision --- Vision, Computer --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Software, Computer --- Computer operating systems --- Computers --- Disk operating systems --- Informatics --- Operating systems --- Computer software --- Algorithms. --- Image processing. --- Pattern recognition. --- Reusability. --- Database searching --- Science --- Design perception --- Pattern recognition --- Form perception --- Perception --- Figure-ground perception --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Algorism --- Algebra --- Arithmetic --- Reusability of software --- Reusable code (Computer programs) --- Software reusability --- Software reengineering --- Generic programming (Computer science) --- Foundations --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Systems software --- Computer systems --- Pattern perception --- Perceptrons --- Visual discrimination --- Optical pattern recognition --- Computer software—Reusability. --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Optical equipment

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This volume constitutes the refereed proceedings of the 10th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, EMMCVPR 2015, held in Hong Kong, China, in January 2015. The 36 revised full papers were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on discrete and continuous optimization; image restoration and inpainting; segmentation; PDE and variational methods; motion, tracking and multiview reconstruction; statistical methods and learning; and medical image analysis.

Complex analysis --- Mathematical statistics --- Production management --- Computer science --- Information systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- patroonherkenning --- beeldverwerking --- betrouwbaarheid --- factoranalyse --- datamining --- complexe analyse (wiskunde) --- algoritmen --- data acquisition