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From Gestalt Theory to Image Analysis: A Probabilistic Approach

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TLDR
This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images inspired from and are a mathematical formalization of the Gestalt theory, which had never been formalized.
Abstract
This book introduces the reader to a recent theory in Computer Vision yielding elementary techniques to analyse digital images. These techniques are inspired from and are a mathematical formalization of the Gestalt theory. Gestalt theory, which had never been formalized is a rigorous realm of vision psychology developped between 1923 and 1975. From the mathematical viewpoint the closest field to it is stochastic geometry, involving basic probability and statistics, in the context of image analysis. The authors maintain a public software, MegaWave, containing implementations of most of the image analysis techniques developped in the book. The book is intended for researchers and engineers. It is mathematically self-contained and requires only the basic notions in probability and calculus.

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Proceedings Article

Robot vision

TL;DR: A scheme is developed for classifying the types of motion perceived by a humanlike robot and equations, theorems, concepts, clues, etc., relating the objects, their positions, and their motion to their images on the focal plane are presented.
Journal ArticleDOI

LSD: A Fast Line Segment Detector with a False Detection Control

TL;DR: A linear-time line segment detector that gives accurate results, a controlled number of false detections, and requires no parameter tuning is proposed.
Journal ArticleDOI

Probability and Random Processes

Ali Esmaili
- 01 Aug 2005 - 
TL;DR: This handbook is a very useful handbook for engineers, especially those working in signal processing, and provides real data bootstrap applications to illustrate the theory covered in the earlier chapters.
Journal ArticleDOI

LSD: a Line Segment Detector

TL;DR: LSD is a linear-time Line Segment Detector giving subpixel accurate results and uses an a contrario validation approach according to Desolneux, Moisan, and Morel’s theory.
Journal ArticleDOI

EDLines: A real-time line segment detector with a false detection control

TL;DR: A linear time line segment detector that gives accurate results, requires no parameter tuning, and runs up to 11 times faster than the fastest known line segment detectors in the literature; hence the name EDLines.
References
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Elements of information theory

TL;DR: The author examines the role of entropy, inequality, and randomness in the design of codes and the construction of codes in the rapidly changing environment.
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A Computational Approach to Edge Detection

TL;DR: There is a natural uncertainty principle between detection and localization performance, which are the two main goals, and with this principle a single operator shape is derived which is optimal at any scale.
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Random sample consensus: a paradigm for model fitting with applications to image analysis and automated cartography

TL;DR: New results are derived on the minimum number of landmarks needed to obtain a solution, and algorithms are presented for computing these minimum-landmark solutions in closed form that provide the basis for an automatic system that can solve the Location Determination Problem under difficult viewing.
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Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images

TL;DR: The analogy between images and statistical mechanics systems is made and the analogous operation under the posterior distribution yields the maximum a posteriori (MAP) estimate of the image given the degraded observations, creating a highly parallel ``relaxation'' algorithm for MAP estimation.
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Snakes : Active Contour Models

TL;DR: This work uses snakes for interactive interpretation, in which user-imposed constraint forces guide the snake near features of interest, and uses scale-space continuation to enlarge the capture region surrounding a feature.
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