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3D segmentation and boundary completion using subjective surface method

3D segmentation and boundary completion using subjective surface method
Author: Lina Gundelwein
Publisher: GRIN Verlag
Total Pages: 41
Release: 2016-07-08
Genre: Mathematics
ISBN: 3668256098

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Bachelor Thesis from the year 2015 in the subject Mathematics - Applied Mathematics, grade: 1,0, Friedrich-Alexander University Erlangen-Nuremberg (Angewandte Mathematik III), language: English, abstract: Segmentation is used to locate boundaries of an object in a given image. Finding those boundaries is important e.g. for visualizing three dimensional objects and measuring their surface or volume. Ideally, the boundaries coincide with the edges seen in the image. However, due to noise, partly missing information or in case of subjective contours the edges can be irregular and discontinuous. The human brain is able to perform visual completion that is to say it can in many cases complete those interrupted boundaries by filling in the missing gaps. Simple segmentation methods fail to do so, whereas the subjective surface method succeeds by sharpening the surface around the edges and connecting segmented boundaries across the gaps. Michael Fried is using finite elements with the subjective surface method resulting in an algorithm that detects interrupted boundaries as well as subjective contours in 2D. As an extension of Michael Fried's work, the algorithm presented in this thesis is able to complete missing boundary segments in 3D, smooth out the contours and perform modal completion.


Subjective Surfaces

Subjective Surfaces
Author:
Publisher:
Total Pages: 36
Release: 2000
Genre:
ISBN:

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We present a geometric model and a computational method for segmentation of images with missing boundaries. In many situations, the human visual system fills in missing gaps in edges and boundaries, building and completing information that is not present. Boundary completion presents a considerable challenge in computer vision, since most algorithms attempt to exploit existing data. A large body of work concerns completion models, which postulate how to construct missing data; these models are often trained and specific to particular images. In this paper, we take the following, alternative perspective: we consider a reference point within an image as given, and then develop an algorithm which tries to build missing information on the basis of the given point of view and the available information as boundary data to the algorithm. Starting from this point of view, a surface is constructed. It is then evolved with the mean curvature flow in the metric induced by the image until a piecewise constant solution is reached. We test the computational model on modal completion, amodal completion, texture, photo and medical images. We extend the geometric model and the algorithm to 3D in order to extract shapes from low signal/noise ratio medical volumes. Results in 3D echocardiography and 3D fetal echography are presented.


Scale Space and Variational Methods in Computer Vision

Scale Space and Variational Methods in Computer Vision
Author: Xue-Cheng Tai
Publisher: Springer Science & Business Media
Total Pages: 882
Release: 2009-05-25
Genre: Computers
ISBN: 3642022553

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This book constitutes the refereed proceedings of the Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, SSVM 2009, emanated from the joint edition of the 5th International Workshop on Variational, Geometric and Level Set Methods in Computer Vision, VLSM 2009 and the 7th International Conference on Scale Space and PDE Methods in Computer Vision, Scale-Space 2009, held in Voss, Norway in June 2009. The 71 revised full papers presented were carefully reviewed and selected numerous submissions. The papers are organized in topical sections on segmentation and detection; image enhancement and reconstruction; motion analysis, optical flow, registration and tracking; surfaces and shapes; scale space and feature extraction.


Handbook of Biomedical Image Analysis

Handbook of Biomedical Image Analysis
Author: David Wilson
Publisher: Springer Science & Business Media
Total Pages: 661
Release: 2006-10-28
Genre: Medical
ISBN: 0306485516

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Handbook of Biomedical Image Analysis: Segmentation Models (Volume I) is dedicated to the segmentation of complex shapes from the field of imaging sciences using different mathematical techniques. This volume is aimed at researchers and educators in imaging sciences, radiological imaging, clinical and diagnostic imaging, physicists covering different medical imaging modalities, as well as researchers in biomedical engineering, applied mathematics, algorithmic development, computer vision, signal processing, computer graphics and multimedia in general, both in academia and industry . Key Features: - Principles of intra-vascular ultrasound (IVUS) - Principles of positron emission tomography (PET) - Physical principles of magnetic resonance angiography (MRA). - Basic and advanced level set methods - Shape for shading method for medical image analysis - Wavelet transforms and other multi-scale analysis functions - Three dimensional deformable surfaces - Level Set application for CT lungs, brain MRI and MRA volume segmentation - Segmentation of incomplete tomographic medical data sets - Subjective level sets for missing boundaries for segmentation


Deformable Models

Deformable Models
Author: Aly Farag
Publisher: Springer Science & Business Media
Total Pages: 592
Release: 2007-08-02
Genre: Technology & Engineering
ISBN: 0387312048

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This book covers the complete spectrum of deformable models, its evolution as an imagery field and its use in many biomedical engineering and clinical application disciplines. The book focuses on the core image processing techniques, theory and biomaterials useful to research and industry. Contributors are all pioneers in the field.


Geometric Methods in Bio-Medical Image Processing

Geometric Methods in Bio-Medical Image Processing
Author: Ravikanth Malladi
Publisher: Springer Science & Business Media
Total Pages: 151
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642559875

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The genesis of this book goes back to the conference held at the University of Bologna, June 1999, on collaborative work between the University of California at Berkeley and the University of Bologna. The book, in its present form, is a compilation of some of the recent work using geometric partial differential equations and the level set methodology in medical and biomedical image analysis. The book not only gives a good overview on some of the traditional applications in medical imagery such as, CT, MR, Ultrasound, but also shows some new and exciting applications in the area of Life Sciences, such as confocal microscope image understanding.


3D Scene Understanding

3D Scene Understanding
Author: Zhaoyin Jia
Publisher:
Total Pages: 153
Release: 2014
Genre:
ISBN:

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Segmentation is one of the fundamental computer vision problems and has been investigated over years. In this thesis, we present algorithms for RGB-D image segmentation, and more importantly, the additional information that can be inferred from segmentations: depth ordering, 3D surfaces, occlusion boundaries and volumes of objects. All these clues lead to a more comprehensive 3D understanding of the scene as well as a higher level RGB-D interpretation. Also in return some of these clues can provide important feedbacks and improve the final scene segmentation performance. We start by performing 3D depth interpretation from 2D color images only. We discover that the segment shapes enable us to learn the depth orderings of the objects. Specifically, from the initial segmentation we develop features to encode the information captured in boundaries and junctions. After a supervised learning procedure, our algorithm is able to produce a 3D depth ordering map from a single 2D color image. Secondly, we proceed to 3D scene understanding using RGB-D images. The recent development of the depth sensors improves the performance of the traditional computer vision algorithms by a margin. Therefore, besides using one single image, we incorporate depth information along with it, and parse the scene based on 3D interpretation. We aim at the applications such as 3D point interpolation, boundary detection and scene segmentation. In detail, we propose algorithm for 3D surface segmentation, and show that combining this 3D surface information with 2D color image achieves better performance for 3D interpolation. After that, we use both 2D color and 3D depth channels to find the occlusion and connected boundaries given a RGB-D scene. This serves as an extended 3D scene interpretation with a better understanding of occlusions between objects. Finally we perform a 3D volumetric reasoning of the RGB-D image with support and stability. Objects occupy physical space and obey physical laws. To truly understand a scene, we must reason about the space that objects in it occupy, and how each objects is supported stably by each other. In other words, we seek to understand which objects would, if moved, cause other objects to fall. This 3D volumetric reasoning is important for many scene understanding tasks, ranging from segmentation of objects to perception of a rich 3D, physically well-founded, interpretations of the scene. In this thesis, we propose a new algorithm to parse RGB-D images with 3D block units while jointly reasoning about the segments, volumes, supporting relationships and object stability. Our algorithm is based on the intuition that a good 3D representation of the scene is one that fits the depth data well, and is a stable, self-supporting arrangement of objects (i.e., one that does not topple). We design an energy function for representing the quality of the block representation based on these properties. Our algorithm fits 3D blocks to the depth values corresponding to image segments, and iteratively optimizes the energy function. Our proposed algorithm is the first to consider stability of objects in complex arrangements for reasoning about the underlying structure of the scene. Experimental results show that our stability-reasoning framework improves RGB-D segmentation and scene volumetric representation.


Handbook of Biomedical Image Analysis

Handbook of Biomedical Image Analysis
Author: Jasjit S. Suri
Publisher: Springer Science & Business Media
Total Pages: 978
Release: 2005-06-09
Genre: Computers
ISBN: 9780306486074

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With rapid advancements in technology, body imaging or components thereof, have become ubiquitous in medicine. While the biomedical devices such as the MRI, CT, X-rays, Ultrasound, PET/SPECT and Microscopy etc, provide us with high resolution images, the challenges that have continued to confront us with, lie in the interpretation of the vast amounts of data generated by these devices. Biomedical applications are the 'bottom-line' essentials in the diagnostic world. It is this diagnostic interpretation feature that forms the core niche for these books and will serve the needs of a broad spectrum of audience including researchers, research clinicians, and students.Together the three volumesnbsp;will illustrate the role of the fusion of registration and segmentation systems for complete biomedical applications therapy delivery benefiting the biomedical doctors, clinical researchers, radiologists and others.


Computer Vision and Graphics

Computer Vision and Graphics
Author: Leonard Bolc
Publisher: Springer
Total Pages: 769
Release: 2012-10-13
Genre: Computers
ISBN: 3642335640

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This book constitutes the refereed proceedings of the International Conference on Computer Vision and Graphics, ICCVG 2012, held in Warsaw, Poland, in September 2012. The 89 revised full papers presented were carefully reviewed and selected from various submissions. The papers are organized in topical sections on computer graphics, computer vision and visual surveillance.


Medical Imaging Systems Technology Volume 5: Methods In Cardiovascular And Brain Systems

Medical Imaging Systems Technology Volume 5: Methods In Cardiovascular And Brain Systems
Author: Cornelius T Leondes
Publisher: World Scientific
Total Pages: 408
Release: 2005-10-25
Genre: Medical
ISBN: 9814480193

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This scholarly set of well-harmonized volumes provides indispensable and complete coverage of the exciting and evolving subject of medical imaging systems. Leading experts on the international scene tackle the latest cutting-edge techniques and technologies in an in-depth but eminently clear and readable approach.Complementing and intersecting one another, each volume offers a comprehensive treatment of substantive importance to the subject areas. The chapters, in turn, address topics in a self-contained manner with authoritative introductions, useful summaries, and detailed reference lists. Extensively well-illustrated with figures throughout, the five volumes as a whole achieve a unique depth and breath of coverage.As a cohesive whole or independent of one another, the volumes may be acquired as a set or individually.