Tipo: Libro impreso / Print book
Tamaño / Size: 17 x 24 cm
Páginas / Pages: 128
Resumen / Summary:
Autor / Author: Óscar Ruiz
Editorial / Publisher: Universidad EAFIT
Entrega / Delivery : Nacional / International
Envio desde / Ships from: Colombia
Condición / Condition: Nuevo / New
Tabla de contenido / Table of contents: 1 Introduction
2 Basic concepts. Groups
2.1 Functions
2.2 Binary operations and Groups
2.3 Square matrices
2.4 The general linear group GL(n, R)
2.5 The positive linear group (GL+(n,R)
2.6 The orthogonal group 0(n)
2.7 The Special orthogonal group SO(n)
2.8 The group (X, 0)
2.9 Transformations
2.10 Affine Transformations
2.11 Summary
3 Property Invariance under geometric transformations
3.1 Introduction
3.2 Property Preservation in general transformations
3.3 Property preservation in affine Functions
3.4 Example. A linear transformation in R2
3.5 Example. Non-linear transformation R2-R2
3.6 Proposed exercise. Non linear transformations R2-R2
3.7 Proposed exercise. Affine transformations R2-R2 Af f(2.R)
3.8 Solvet exercises. Non-affine transformations R2-R2
3.9 Homogeneous. Coodinates
3.10 Coordinate Systems
4 Rigid transformations in R3
4.1 Definition- Rigid transformations
4.2 Pure translations
4.3 Pure rotations
4.4 Eigenvalues and eigenvectors of R E SO(3)
4.5 General rigid transformations using quaternions
4.6 Solved and proposed exercises
5 Non-rigid transformations and functions
5.1 Non-rigid affine transformations
5.2 Pseudo-affine Geometric –functions. Parallel projections
5.3 Non-linear non-invertible functions. Perspective projections
Bibliography
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