[Review] Computational Geometry: Algorithms and Applications (Mark de Berg) Summarized.

Computational Geometry: Algorithms and Applications (Mark de Berg)

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Computational Geometry: Algorithms and Applications is a textbook by Mark de Berg, Otfried Cheong, Marc van Kreveld, and Mark Overmars that introduces the design and analysis of algorithms for geometric data. It addresses problems in which the input consists of points, segments, polygons, or spatial subdivisions, and where a useful solution depends on exploiting geometric structure rather than treating the data as arbitrary numbers. The book is primarily concerned with two and three dimensional settings that arise in computer graphics, geographic information systems, robotics, and engineering. Its purpose is not merely to catalogue geometric problems, but to show how a relatively small set of algorithmic ideas can yield efficient, understandable solutions across many settings. Chapters typically begin from an application-shaped problem and then identify the abstract geometric task beneath it. The result is a broad, algorithm-centered introduction for advanced undergraduates, early graduate students, and independent readers who already understand data structures, asymptotic analysis, and basic algorithm design.