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Overview: From facial recognition to self-driving cars, the applications of computer vision are vast and ever-expanding. Geometry plays a fundamental role in this discipline, providing the necessary mathematical framework to understand the underlying principles of how we perceive and interpret visual information in the world around us. This text explores the theories and computational techniques used to determine the geometric properties of solid objects through images. It covers the basic concepts and provides the necessary mathematical background for more advanced studies. The book is divided into clear and concise chapters covering a wide range of topics including image formation, camera models, feature detection and 3D reconstruction. Each chapter includes detailed explanations of the theory as well as practical examples to help the reader understand and apply the concepts presented. Deep Learning has brought undeniable successes and some breakthroughs in image recognition and scene description. It is nevertheless true that geometric Computer Vision remains a fundamental field. Given the impressive state-of-the-art and the rapid pace of progress in Deep Learning, it would be of course risky to rule out the possibility that the solution to many geometric vision problems, for instance reconstructing 3D structure from multiple images, can be learned from millions of examples. Yet we believe that a principled, approach that obtains the geometric structure of what we see through applied mathematics provides more insight. We would also go as far as suggesting that, in the end, such an approach can be even more fun to study and implement. The book has been written with the intention of being used as a primary resource for students on university courses in Computer Vision, particularly final year undergraduate or postgraduate Computer Science or engineering courses. To aid the reader in implementation, most of the methods discussed in the book are accompanied by a Matlab listing and the sources are available on Github.
Genre: Non-Fiction > Tech & Devices
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