Open AccessDissertation
Joint methods in imaging based on diffuse image representations.
Benjamin Berkels
- pp 1-126
TLDR
This chapter discusses terminology and notation for the Greek alphabet, which has applications in medicine, linguistics, and other fields.Abstract:
Contents Basic terminology and notation ix 1 Introduction 1 1.read more
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Book ChapterDOI
High-Quality Image Formation by Nonlocal Means Applied to High-Angle Annular Dark-Field Scanning Transmission Electron Microscopy (HAADF–STEM)
Peter Binev,Francisco Blanco-Silva,Douglas A. Blom,Wolfgang Dahmen,Philipp Lamby,Robert Sharpley,Thomas Vogt +6 more
TL;DR: In this article, a new systematic approach was proposed to extract high-quality information from HAADF-STEM images which will be beneficial to the characterization of beam-sensitive materials, treating several, possibly many, low-electron dose images with specially adapted digital image processing concepts at a minimum allowable spatial resolution.
Super-Resolution Image Reconstruction by Nonlocal Means Applied to High-Angle Annular Darkfield Scanning Transmission Electron Microscopy (HAADF-STEM)
Peter Binev,Francisco Blanco-Silva,Douglas A. Blom,Wolfgang Dahmen,Robert Sharpley,Thomas Vogt +5 more
TL;DR: In this article, a new systematic approach to extracting high resolution information from HAADF-STEM images is presented, which will be beneficial to the characterization of beam sensitive materials, by treating several, possibly many low electron dose images with specially adapted digital image processing concepts at a minimum allowable spatial resolution.
Proceedings ArticleDOI
Convex Relaxation for Grain Segmentation at Atomic Scale
TL;DR: It is shown that grain boundary estimation can be solved by means of recently introduced convex relaxation techniques, which allow to compute global solutions or solutions within a known bound of the optimum.
Journal ArticleDOI
A posteriori error control for the binary Mumford-Shah model
TL;DR: This paper presents robust a posteriori error estimates for a natural error quantity, namely the area of the non properly segmented region of the binary Mumford-Shah model, and investigates two different adaptive primal-dual finite element schemes.
Posted Content
A Posteriori Error Control for the Binary Mumford-Shah Model
TL;DR: In this article, a robust a posteriori error estimate for a natural error quantity, namely the area of the non properly segmented region, is presented and incorporated in an adaptive meshing strategy.
References
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Journal ArticleDOI
Nonlinear total variation based noise removal algorithms
TL;DR: In this article, a constrained optimization type of numerical algorithm for removing noise from images is presented, where the total variation of the image is minimized subject to constraints involving the statistics of the noise.
Journal ArticleDOI
Determining optical flow
TL;DR: In this paper, a method for finding the optical flow pattern is presented which assumes that the apparent velocity of the brightness pattern varies smoothly almost everywhere in the image, and an iterative implementation is shown which successfully computes the Optical Flow for a number of synthetic image sequences.
Journal ArticleDOI
Active contours without edges
Tony F. Chan,Luminita A. Vese +1 more
TL;DR: A new model for active contours to detect objects in a given image, based on techniques of curve evolution, Mumford-Shah (1989) functional for segmentation and level sets is proposed, which can detect objects whose boundaries are not necessarily defined by the gradient.
Book
Measure theory and fine properties of functions
TL;DR: In this article, the authors define and define elementary properties of BV functions, including the following: Sobolev Inequalities Compactness Capacity Quasicontinuity Precise Representations of Soboleve Functions Differentiability on Lines BV Function Differentiability and Structure Theorem Approximation and Compactness Traces Extensions Coarea Formula for BV Functions isoperimetric inequalities The Reduced Boundary The Measure Theoretic Boundary Gauss-Green Theorem Pointwise Properties this article.