Convex Hull

Convex Hull
Title Convex Hull PDF eBook
Author Fouad Sabry
Publisher One Billion Knowledgeable
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
Title Fundamentals of Convex Analysis PDF eBook
Author Jean-Baptiste Hiriart-Urruty
Publisher Springer Science & Business Media
Pages 278
Release 2004-04-21
Genre Computers
ISBN 9783540422051

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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.

Computational Geometry in C

Computational Geometry in C
Title Computational Geometry in C PDF eBook
Author Joseph O'Rourke
Publisher Cambridge University Press
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.

Computational Geometry in C

Computational Geometry in C
Title Computational Geometry in C PDF eBook
Author Joseph O'Rourke
Publisher Cambridge University Press
Pages 396
Release 1998-10-13
Genre Computers
ISBN 9780521649766

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This 1998 book explains the design of geometry algorithms, including discussion of implementation issues and working C code.

Functional Analysis I

Functional Analysis I
Title Functional Analysis I PDF eBook
Author Yu.I. Lyubich
Publisher Springer Science & Business Media
Pages 298
Release 1992-02-06
Genre Mathematics
ISBN 9783540505846

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The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.

Geospatial Analysis

Geospatial Analysis
Title Geospatial Analysis PDF eBook
Author Michael John De Smith
Publisher Troubador Publishing Ltd
Pages 417
Release 2007
Genre Mathematics
ISBN 1905886608

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Addresses a range of analytical techniques that are provided within modern Geographic Information Systems and related geospatial software products. This guide covers: the principal concepts of geospatial analysis; core components of geospatial analysis; and, surface analysis, including surface form analysis, gridding and interpolation methods.

Infinite Dimensional Analysis

Infinite Dimensional Analysis
Title Infinite Dimensional Analysis PDF eBook
Author Charalambos D. Aliprantis
Publisher Springer Science & Business Media
Pages 732
Release 2007-05-02
Genre Business & Economics
ISBN 9783540326960

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This monograph presents a study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst.