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Convex Hull

Convex Hull
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
Total Pages: 138
Release: 2024-05-05
Genre: Computers
ISBN:

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What is Convex Hull The convex hull, convex envelope, or convex closure of a shape is the smallest convex set that contains the shape. This concept is used in the field of geometry. It is possible to define the convex hull in two different ways: either as the intersection of all convex sets that contain a particular subset of a Euclidean space, or, more precisely, as the set of all convex combinations of points that are contained within the subset. The convex hull of a bounded subset of the plane can be seen as the form that is encompassed by a rubber band that is stretched around the subset. How you will benefit (I) Insights, and validations about the following topics: Chapter 1: Convex hull Chapter 2: Convex set Chapter 3: Polyhedron Chapter 4: Polytope Chapter 5: Minkowski addition Chapter 6: Duality (mathematics) Chapter 7: Carathéodory's theorem (convex hull) Chapter 8: Curvilinear perspective Chapter 9: Radon's theorem Chapter 10: Convex polytope (II) Answering the public top questions about convex hull. (III) Real world examples for the usage of convex hull in many fields. Who this book is for Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of Convex Hull.


Fundamentals of Convex Analysis

Fundamentals of Convex Analysis
Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer Science & Business Media
Total Pages: 268
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642564682

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This book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with an emphasis on numerical algorithms). The "backbone" of bot volumes was extracted, some material deleted which was deemed too advanced for an introduction, or too closely attached to numerical algorithms. Some exercises were included and finally the index has been considerably enriched, making it an excellent choice for the purpose of learning and teaching.


Convex Polyhedra

Convex Polyhedra
Author: A.D. Alexandrov
Publisher: Springer Science & Business Media
Total Pages: 562
Release: 2005-02-10
Genre: Mathematics
ISBN: 9783540231585

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This classic geometry text explores the theory of 3-dimensional convex polyhedra in a unique fashion, with exceptional detail. Vital and clearly written, the book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unified method. This edition includes a comprehensive bibliography by V.A. Zalgaller, and related papers as supplements to the original text.


Computational Geometry in C

Computational Geometry in C
Author: Joseph O'Rourke
Publisher: Cambridge University Press
Total Pages: 396
Release: 1998-10-13
Genre: Computers
ISBN: 110726863X

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This is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions for this new edition are also available. All code is accessible from the book's Web site (http://cs.smith.edu/~orourke/) or by anonymous ftp.


Convex Analysis

Convex Analysis
Author: Steven G. Krantz
Publisher: CRC Press
Total Pages: 174
Release: 2014-10-20
Genre: Mathematics
ISBN: 149870638X

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Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces


Convex Analysis and Minimization Algorithms I

Convex Analysis and Minimization Algorithms I
Author: Jean-Baptiste Hiriart-Urruty
Publisher: Springer Science & Business Media
Total Pages: 442
Release: 1996-10-30
Genre: Mathematics
ISBN: 3540568506

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Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.


Comparison Theorems in Riemannian Geometry

Comparison Theorems in Riemannian Geometry
Author: Jeff Cheeger
Publisher: Newnes
Total Pages: 183
Release: 2009-01-15
Genre: Computers
ISBN: 0444107649

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Comparison Theorems in Riemannian Geometry


Computational Geometry

Computational Geometry
Author: Mark de Berg
Publisher: Springer Science & Business Media
Total Pages: 370
Release: 2013-04-17
Genre: Computers
ISBN: 3662042452

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This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.


Reshaping Convex Polyhedra

Reshaping Convex Polyhedra
Author: Joseph O’Rourke
Publisher: Springer Nature
Total Pages: 245
Release:
Genre:
ISBN: 3031475119

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