A Theory of Shape Identification

A Theory of Shape Identification

Author
Frédéric Cao, José-Luis Lisani, Jean-Michel Morel …
Publication Year
2008
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Mathematics and Statistics

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.


Keywords: Mathematics and Statistics / Stereo / A contrario methods / Algorithms / Calculus / Cluster analysis / Cognition / Databases / Meaningful level lines / Object recognition / Scale invariant features / Shape grouping / Shape recognition / Stereo vision