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The concept of digital terrain modelling (DTM) began about fifty years ago. The original concept was very simple, the three dimensions of each point were simply put into a database. Over time the technologies of using the data, collecting the data, and the storage of the data has developed into ever more complex forms.This book has chapters on each of these general areas. It is truly a comprehensive mathematically rigorous guide to DTM as it exists today.In addition to the chapters on producing the various kinds of models, there are a couple of chapters on applications to illustrate the kinds of things that are being done with DTM.The book was written by three Ph.D. professors who now teach at the University of Calgary, one of the universities in the lead of DTM.