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2016 | OriginalPaper | Chapter

1. Introduction

Authors : James Damon, Peter Giblin, Gareth Haslinger

Published in: Local Features in Natural Images via Singularity Theory

Publisher: Springer International Publishing

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Abstract

In this monograph we consider a basic problem in computer imaging for natural images, which are images of objects obtained by projection of their reflected light rays onto a viewing plane, which might be a camera lens or a viewer’s eye. The goal for natural images is to detect the objects in the image and determine their geometric features such as edges, creases, corners, and “marking curves” separating regions of an object with distinct visual properties.

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Footnotes
1
Earlier versions had the title Characterizing Stable Local Features of Illuminated Surfaces and Their Generic Transitions from Viewer Movement and this was the way in which we referred to the present work in two articles [DGH1, DGH2]. These articles highlighted the main results without any of the mathematical details.
 
2
We are grateful to the following for permission to use the photographs: for Hassler Whitney, to his daughter Sally Thurston; for René Thom to the director of L’Institut des Hautes Études Scientifiques; for Bernard Malgrange, to Yousuke Ohyama; for Vladimir Arnol’d to Svetlana Tretyakova. The photograph of John Mather was taken by James Damon.
 
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Metadata
Title
Introduction
Authors
James Damon
Peter Giblin
Gareth Haslinger
Copyright Year
2016
Book
Local Features in Natural Images via Singularity Theory

Print ISBN: 978-3-319-41470-6

Electronic ISBN: 978-3-319-41471-3

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-41471-3_1

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