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3D Math Primer for Graphics and Game Development

3D Math Primer for Graphics and Game Development
Author: Fletcher Dunn
Publisher: CRC Press
Total Pages: 848
Release: 2011-11-02
Genre: Computers
ISBN: 1498759890

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This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for


The Economist

The Economist
Author:
Publisher:
Total Pages: 1400
Release: 1903
Genre: Commerce
ISBN:

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Practical Engineer

Practical Engineer
Author:
Publisher:
Total Pages: 346
Release: 1919
Genre: Engineering
ISBN:

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Mining Journal

Mining Journal
Author:
Publisher:
Total Pages: 586
Release: 1925
Genre: Mineral industries
ISBN:

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3D-BASIS

3D-BASIS
Author: S. Nagarajaiah
Publisher:
Total Pages: 113
Release: 1991
Genre: 3D-BASIS (Computer program)
ISBN:

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3D Shape Analysis

3D Shape Analysis
Author: Hamid Laga
Publisher: John Wiley & Sons
Total Pages: 374
Release: 2018-12-14
Genre: Mathematics
ISBN: 111940519X

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An in-depth description of the state-of-the-art of 3D shape analysis techniques and their applications This book discusses the different topics that come under the title of "3D shape analysis". It covers the theoretical foundations and the major solutions that have been presented in the literature. It also establishes links between solutions proposed by different communities that studied 3D shape, such as mathematics and statistics, medical imaging, computer vision, and computer graphics. The first part of 3D Shape Analysis: Fundamentals, Theory, and Applications provides a review of the background concepts such as methods for the acquisition and representation of 3D geometries, and the fundamentals of geometry and topology. It specifically covers stereo matching, structured light, and intrinsic vs. extrinsic properties of shape. Parts 2 and 3 present a range of mathematical and algorithmic tools (which are used for e.g., global descriptors, keypoint detectors, local feature descriptors, and algorithms) that are commonly used for the detection, registration, recognition, classification, and retrieval of 3D objects. Both also place strong emphasis on recent techniques motivated by the spread of commodity devices for 3D acquisition. Part 4 demonstrates the use of these techniques in a selection of 3D shape analysis applications. It covers 3D face recognition, object recognition in 3D scenes, and 3D shape retrieval. It also discusses examples of semantic applications and cross domain 3D retrieval, i.e. how to retrieve 3D models using various types of modalities, e.g. sketches and/or images. The book concludes with a summary of the main ideas and discussions of the future trends. 3D Shape Analysis: Fundamentals, Theory, and Applications is an excellent reference for graduate students, researchers, and professionals in different fields of mathematics, computer science, and engineering. It is also ideal for courses in computer vision and computer graphics, as well as for those seeking 3D industrial/commercial solutions.


Principal Functions

Principal Functions
Author: B. Rodin
Publisher: Springer Science & Business Media
Total Pages: 365
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468480383

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During the decade and a half that has elapsed since the intro duction of principal functions (Sario [8 J), they have become impor tant tools in an increasing number of branches of modern mathe matics. The purpose of the present research monograph is to systematically develop the theory of these functions and their ap plications on Riemann surfaces and Riemannian spaces. Apart from brief background information (see below), nothing contained in this monograph has previously appeared in any other book. The basic idea of principal functions is simple: Given a Riemann surface or a Riemannian space R, a neighborhood A of its ideal boundary, and a harmonic function s on A, the principal function problem consists in constructing a harmonic function p on all of R which imitates the behavior of s in A. Here A need not be connected, but may include neighborhoods of isolated points deleted from R. Thus we are dealing with the general problem of constructing harmonic functions with given singularities and a prescribed behavior near the ideal boundary. The function p is called the principal function corresponding to the given A, s, and the mode of imitation of s by p. The significance of principal functions is in their versatility.