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Geometric Transformations for 3D Modeling Book

Geometric Transformations for 3D Modeling
Geometric Transformations for 3D Modeling, Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati, Geometric Transformations for 3D Modeling has a rating of 3.5 stars
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Geometric Transformations for 3D Modeling, Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati, Geometric Transformations for 3D Modeling
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  • Geometric Transformations for 3D Modeling
  • Written by author Michael E. Mortenson
  • Published by Industrial Press, Inc., April 2007
  • Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati
  • Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati
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Book Categories

Authors

CONTENTS

Geometry

What Is Geometry
History
Geometric Objects
Space
Geometry Is . . .
E Pluribus Unum - Transformation and Invariance

Theory of Transformations

Functions, Mappings, and Transformations
Linear Transformations
Geometric Invariants
Isometries
Similarities
Affinities
Projectivities
Topological Transformations

Vector Spaces

Introduction to Linear Vector Spaces
Basis Vectors
Eigenvalues and Eigenvectors
Tensors

Rigid-Body Motion

Translation
Rotation
Composite Motion
Kinematics

Reflection and Symmetry

Central Inversion
Reflections in the Plane
Reflections in Space
Summary of Reflection Matrices
Symmetry Basics
Symmetry Groups
Ornamental Groups
Polygonal Symmetry and Tiling
Polyhedral Symmetry

More Linear Transformations

Isotropic Dilation
Anisotropic Dilation
Shear
Projective Geometry
Parallel Projection
Central Projection
Map Projections
Display Projection

Nonlinear Transformations

Linear and Nonlinear Equations
Inversion in a Circle
Curvilinear Coordinate Systems
Deformations
Answers to Selected Exercises

Index


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Geometric Transformations for 3D Modeling, Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati, Geometric Transformations for 3D Modeling

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Geometric Transformations for 3D Modeling, Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformati, Geometric Transformations for 3D Modeling

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