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Differential computational geometry is a powerful tool in the modeling and representation of curves, surfaces, and solid shapes. The methods and concepts of differential geometry have many practical applications in robotics and machine vision. Any program that successfully models even a small part of intelligence will be massive and complex; this complexity will require the use of methods and knowledge from many domains. The differential geometric methods explained in this book will play a key role in the development of object and scene representation. The author helps the readers develop their ability to use intuitive and heuristic tools to shape the problem. He explains the physical significance of every mathematical model used; the concrete pictures that illustrate all the examples help the reader get a firm grip on the subject matter. The first chapter establishes the basic entities that make up the physical …