Recognizing planar objects using invariant image features
type: Item
instance of: scholarly article
title: Recognizing planar objects using invariant image features
zbMATH Open document ID: 0789.68120
author: Thomas H. Reiss
published in: Lecture Notes in Computer Science
publication date: 1993-11-22T00:00:00Z
review text: This book deals with the question of how computers recognize an object irrespective of its size, position and its orientation. The basic approach is to find mathematical functions of an object's image, or of an object's \(3-D\) description, that are invariant under the transformations caused by the object's motion. The book introduces the notion of image invariants for planar objects. Major sections are as follows. The first chapter introduces features that are invariant under translation, rotation and changes in size and in contrast, with particular attention paid to the effect of using discrete images as opposed to continuous ones. Next, a tutorial introduction to the theory of algebraic invariants is presented with emphasis on moment invariants for affine transformations, and projective invariants for perspective transformations. The next two chapters are devoted entirely to affine and perspective invariants, summarizing work on both differential and global invariants. The main contribution (Chapter 6) shows how invariant features can be used to recognize objects that have been partially occluded. A treatment of the so called geometric hashing is given, followed by some methods of back projection which allow one to verify whether the hypothesized object really is in the image. Finally, a number of schemes for the use of moment invariants are presented to allow recognition under partial occlusion. A summary and conclusions close the book.
reviewed by: Alexander Leitsch
Mathematics Subject Classification ID: 68T10
Mathematics Subject Classification ID: 68-02
zbMATH DE Number: 462657
zbMATH Keywords: computer vision
zbMATH Keywords: object recognition
zbMATH Keywords: geometric invariants
zbMATH Keywords: algebraic invariants
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bfb0017553
OpenAlex ID: W1520203819
DOI: 10.1007/BFB0017553
description: scientific article; zbMATH DE number 462657