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A Theory of Shape Identification

2008-08-28 Mathematics
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Release : 2008-08-28
Genre : Mathematics
Kind : eBook
Book Rating : 808/5 ( reviews)

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Book Synopsis A Theory of Shape Identification by : Frédéric Cao

Download or read book A Theory of Shape Identification written by Frédéric Cao. This book was released on 2008-08-28. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. Indeed, a shape can be seen from various angles and distances and in various lights.

A Theory of Shape Identification

2009-08-29 Mathematics
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Release : 2009-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 110/5 ( reviews)

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Book Synopsis A Theory of Shape Identification by : Frédéric Cao

Download or read book A Theory of Shape Identification written by Frédéric Cao. This book was released on 2009-08-29. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. Indeed, a shape can be seen from various angles and distances and in various lights.

A Theory of Shape Identification

2008-08-17 Mathematics
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Release : 2008-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 816/5 ( reviews)

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Book Synopsis A Theory of Shape Identification by : Frédéric Cao

Download or read book A Theory of Shape Identification written by Frédéric Cao. This book was released on 2008-08-17. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen dramatic progress in shape recognition algorithms applied to ever-growing image databases. They have been applied to image stitching, stereo vision, image mosaics, solid object recognition and video or web image retrieval. More fundamentally, the ability of humans and animals to detect and recognize shapes is one of the enigmas of perception. The book describes a complete method that starts from a query image and an image database and yields a list of the images in the database containing shapes present in the query image. A false alarm number is associated to each detection. Many experiments will show that familiar simple shapes or images can reliably be identified with false alarm numbers ranging from 10-5 to less than 10-300. Technically speaking, there are two main issues. The first is extracting invariant shape descriptors from digital images. Indeed, a shape can be seen from various angles and distances and in various lights.

Some Questions of the Statistical Theory of Shape Identification

1968
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Release : 1968
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Some Questions of the Statistical Theory of Shape Identification by : A. G. Frantsuz

Download or read book Some Questions of the Statistical Theory of Shape Identification written by A. G. Frantsuz. This book was released on 1968. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of the statement of certain problems in mathematical statistics arising in connection with the problem of form recognition. The problem in particular is concerned with the theory of estimates with respect to small samples in the case of multi-variate distributions; synthesis of secondary characteristics describing an object from primary characteristics; reduction of the number of characteristics to a given number with minimal loss of information. (Author).

Shape and Shape Theory

2009-09-25 Mathematics
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Release : 2009-09-25
Genre : Mathematics
Kind : eBook
Book Rating : 841/5 ( reviews)

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Book Synopsis Shape and Shape Theory by : D. G. Kendall

Download or read book Shape and Shape Theory written by D. G. Kendall. This book was released on 2009-09-25. Available in PDF, EPUB and Kindle. Book excerpt: Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists. Mathematically, 'shape' is the geometrical information required to describe an object when location, scale and rotational effects are removed. The theory was pioneered by Professor David Kendall to solve practical problems concerning shape. This text presents an elegant account of the theory of shape that has evolved from Kendall's work. Features include: * A comprehensive account of Kendall's shape spaces * A variety of topological and geometric invariants of these spaces * Emphasis on the mathematical aspects of shape analysis * Coverage of the mathematical issues for a wide range of applications The early chapters provide all the necessary background information, including the history and applications of shape theory. The authors then go on to analyse the topic, in brilliant detail, in a variety of different shape spaces. Kendall's own procedures for visualising distributions of shapes and shape processes are covered at length. Implications from other branches of mathematics are explored, along with more advanced applications, incorporating statistics and stochastic analysis. Applied statisticians, applied mathematicians, engineers and computer scientists working and researching in the fields of archaeology, astronomy, biology, geography and physical chemistry will find this book of great benefit. The theories presented are used today in a wide range of subjects from archaeology through to physics, and will provide fascinating reading to anyone engaged in such research. Visit our web page! http://www.wiley.com/

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