Here is the full list of best reference books on Computational Geometry.
We have put a lot of effort into researching the best books for reference on this subject and came out with a recommended list of best books. The table below contains a review of these books and links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these books; the table serves as a ready reckoner list of these best books.
1. “Computational Geometry: Algorithms and Applications” by Mark de Berg
Book Review: Each of the chapters in the book starts with problems arising in the application domain. The book then presents the techniques in computational geometry which are used to solve these problems. The solutions provided in the book for solving the problem is easy to understand and implement. The book also contains good mixture of the techniques like divide and conquer, plane sweep and randomized algorithms. Every chapter in the book is concluded with a number of exercises to felicitate the understanding of the reader. The algorithms in the book are presented in the form of pseudo code thereby making it easier to implement them.


2. “Computational Geometry: An Introduction” by F P Preparata and Michael I Shamos
Book Review: This book demonstrates the concepts of computational geometry that suitable for both computer science and mathematics fields. The book is based on the systematic study on the research results that have been obtained in the past 10 years. The book provides a clear presentation on basic ideas, fundamental combinatorial structures and many crucial algorithmic techniques. The book also provides a large number of figures and examples to help the readers in understanding the material provided in the book. This is a very good textbook for graduates, researchers and professionals in the fields of computer aided design, computer graphics and robotics.


3. “Computational Geometry in C” by Joseph O Rourke
Book Review: This book deals with the design and introduction of geometric algorithms in areas of computer graphics, robotics and engineering design. The techniques in the field of computational geometry are covered which include polygon triangulations, convex hulls, voronoi diagrams, geometric searching and motion planning. The book covers basic knowledge of mathematics thereby making it a reference book for practitioners.The book contains chapters on randomized algorithms for polygon triangulation, planar point location, intersection algorithms for ray segment,ray triangle and point polyhedron.
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4. “Discrete And Computational Geometry” by Mikio Kano Jin Akiyama
“Discrete and Computational Geometry” Book Review: This book consists of 27 revised full papers presented at the Second Japanese Conference on Discrete and Computational Geometry, JCDCG8, held in Tokyo, Japan, in December 1999. The topics addressed in this volume are approximation, convex hulls, lattice computations, tilings, graph computations, Voronoi diagrams, clustering, graph drawing, diagram design, and illumination problems.


5. “Handbook of Computational Geometry” by Urrutia Sack
“Handbook of Computational Geometry” Book Review: This book provides an overview of key concepts and results in Computational Geometry. The authors have described the most advanced methods and solutions to geometric problems along with many alternate ways of looking at problems and how to solve them. Since this topic has direct applications in Geographic Information Systems, Robotics, and Computer Graphics, professionals and students from that field can use this as a reference book.


6. “Geometry of Knowledge for Intelligent Systems” by Germano Resconi
“Geometry of Knowledge for Intelligent Systems” Book Review: This book aims to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. The book presents a geometric image of gravity by describing knowledge instruments such as data mining, neural networks, formal concept analysis, quantum computers, and other topics. The authors have seamlessly bridged the gap between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents by utilizing a new geometry of knowledge. This book is recommended to those researchers that, beyond computer science, mathematics or physics, are interested in philosophy too.


7. “Scg 10 Proceedings of the 26th Annual Symposium on Computational Geometry” by Computational Geometry Conference
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“SCG 10 Proceedings of the 26th Annual Symposium on Computational Geometry” Book Review: This book highlights the depth and scope of computational geometry. The major topics covered in the Annual Symposium on Computational Geometry are – Mathematical, numerical, and algebraic issues arising in the formulation, analysis, implementation, and experimental evaluation of geometric algorithms and heuristics; Design, analysis, and implementation of geometric algorithms and data structures; Lower bounds on the computational complexity of geometric problems; Computational topology; Discrete and combinatorial geometry; Novel algorithmic applications of geometry in computer graphics, computeraided design and manufacturing, scientific computing, computational biology, geometric modeling, geographic information systems, database systems, robotics, sensor networks, medical imaging, combinatorial optimization, statistical analysis, discrete differential geometry, theoretical computer science, and other fields.


8. “Advances in Robot Kinematics and Computational Geometry” by Lenarcic
“Advances in Robot Kinematics and Computational Geometry” Book Review: This book covers the recent advances in robot kinematics and computational geometry in kinematics. The author has successfully identified key areas of contemporary research in kinematics and computational geometry and their applications in robots and mechanisms. Divided into twelve sections, the book covers the following topics: kinematics of mobile robots, kinematics in control, computational geometry in kinematics, inverse kinematics, kinematic errors and calibration, kinematic analysis, kinematic performance, workspace and trajectory analysis, force and elasticity analysis, kinematic design, parallel manipulators, and task and motion planning. The book is suitable for graduate students, researchers, mathematicians and engineers specializing in kinematics of robots and mechanisms in the area of mathematical modeling, design, control, and simulation.


9. “Protein Geometry, Classification, Topology and Symmetry: A Computational Analysis of Structure” by Andras Aszodi and William R Taylor
“Protein Geometry, Classification, Topology and Symmetry: A Computational Analysis of Structure” Book Review: This book aims to reveal the underlying regularities in the construction of proteins by analyzing their structural principles. Various computer methods are reviewed for statistical, as well as structural, analysis of classification of structures along with their automatic comparison. The book presents an analysis of the current state of protein classification while exploring the occurrence of knotted topologies and more abstract geometric and topological representations. Origin of higherlevel symmetries in protein structure is also discussed in the end. This book is ideal for postgraduate courses as well as researchers investigating protein structures.


10. “Topology and Geometry in Physics” by Bick Steffen
“Topology and Geometry in Physics” Book Review: This book presents the modern applications and recent developments in the fields of physical research. It provides an introduction to topological concepts in supersymmetric solitons, gauge theories, chiral anomalies, BRST quantization, and noncommutative geometry. Written as a set of extensive lectures, this book is recommended for novices to the field, postgraduate students, and lecturers requiring advanced material.


People who are searching for Free downloads of books and free pdf copies of these books – “Computational Geometry: Algorithms and Applications” by Mark de Berg, “Computational Geometry: An Introduction” by F. P. Preparata and Michael I Shamos, “Computational Geometry in C” by Joseph O Rourke, “Discrete And Computational Geometry” by Mikio Kano Jin Akiyama, “Handbook of Computational Geometry” by Urrutia Sack, “Geometry of Knowledge for Intelligent Systems” by Germano Resconi, “Scg 10 Proceedings of the 26th Annual Symposium on Computational Geometry” by Computational Geometry Conference, “Advances in Robot Kinematics and Computational Geometry” by Lenarcic, “Protein Geometry, Classification, Topology and Symmetry: A Computational Analysis of Structure” by Andras Aszodi and William R Taylor, “Topology and Geometry in Physics” by Bick Steffen – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.
We have created a collection of best reference books on “Computational Geometry” so that one can readily see the list of top books on “Computational Geometry” and buy the books either online or offline.
If any more book needs to be added to the list of best books on Computational Geometry Subject, please let us know.
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