Discrete Images, Objects, and Functions in Zn: 11 (Algorithms and Combinatorics) - Tapa blanda

Voss, Klaus

 
9783642467813: Discrete Images, Objects, and Functions in Zn: 11 (Algorithms and Combinatorics)

Sinopsis

Voss' book which deals with theoretical problems of digital image processing is an indispensable source of information for all those who are involved in the design, implementation, and application of mathematically sound algorithms in image processing; it is written for engineers, mathematicians, and computer scientists. The author, who is a well-known expert in the field of digital image processing, presents important new research which generalizes the currently used two-dimensional theory to n dimensions.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

Man wird dem einzelnen nicht gerecht, wenn man es gesondert ins Auge jaftt, ohne seinen Zusammenhang mit dem Ganzen zu beachten und dem Beziehungssystem Rechnung zu tragen, in dem es steht. Thomas Mann Science in general, as well as in each of its individual fields, is a part of human culture. In that sense, this book aims to contribute to uncovering a small part of the connections and relationships which bind image processing, categorized in informatics and technology, with the knowledge accumulated over the years on discrete structures. How does one consider problems, models, mathematical methods and prac­ tical applications? How does the search for ideas and the endeavour for know­ ledge in the original work of scientists find expression? Is there something to be learnt from science to date for future developments? Such questions have shaped the content and style of this book. Substantial impetus to the discrete theory of image processing was afforded by the work of Rosenfeld and colleagues. Other fruitful sources of ideas con­ sidered here are number theoretical problems (GauB, Minkowski) and integral geometric investigations (Blaschke, Santalo). Since the beginning of the 1980s I have strived to build upon these ideas a unified mathematical representation of discrete image processing working together with R.K1ette and P.Hufnagl.

Reseña del editor

This book treats theoretical problems of digital image pro- cessing. Voss uses the discrete nature of digital images as the basis for contructing appropriate mathematical models like n-dimensional incidence structures, lattices, and dis- crete functions. Presenting the results from this point of view has the important advantage that they can be used di- rectly in practical image processing. Voss presents the results of his own research and has col- lected other relevant and up-to-date material from the jour- nals in this field. His treatment of n-dimensional incidence structures is a generalisation of the currently used two-di- mensional theory in image processing. There are numerous new results e.g. on similarity of digital objects, n-dimensional surfacedetection, and inversion of convolution equations. Voss' book is an indispensable source of information to all those who are involved in the design, implementation, and application of mathematically sound algorithms in image pro- cessing; it is written for engineers, mathematicians, and computer scientists.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título