Despite the fact that images constitute the main objects in computer vision andimage analysis there is remarkably little concern about their actualdefinition. I... » 

Despite the fact that images constitute the main objects in computer vision andimage analysis there is remarkably little concern about their actualdefinition. In this book a complete account of image structure is proposed interms of rigorously defined machine concepts using basic tools from algebraanalysis and differential geometry. Machine technicalities such asdiscretisation and quantisation details are deemphasised and robustness withrespect to noise is manifest. From the foreword by Jan Koenderink It is myhope that the book will find a wide audience including physicists who stillare largely unaware of the general importance and power of scale space theorymathematicians who will find in it a principled and formally tight expositionof a topic awaiting further development and computer scientists who willfind here a unified and conceptually well founded framework for many apparentlyunrelated and largely historically motivated methods they already know andlove. The book is suited for selfstudy and graduate courses the carefullyformulated exercises are designed to get to grips with the subject matter andprepare the reader for original research. «