Difference between revisions of "Table of contents"

From Robotics
Jump to: navigation, search
 
(9 intermediate revisions by the same user not shown)
Line 14: Line 14:
 
==[[Matrices|2 Matrices]]==
 
==[[Matrices|2 Matrices]]==
  
===[[Multiplication with a scalar|2.1 Multiplication with a scalar]]
+
===[[Multiplication with a scalar|2.1 Multiplication with a scalar]]===
 +
 
 +
===[[The transpose of a matrix|2.2 The transpose of a matrix]]===
 +
 
 +
===[[Addition of matrices|2.3 Addition of matrices]]===
 +
 
 +
===[[Multiplication of matrices|2.4 Multiplication of matrices]]===
 +
 
 +
=== [[Determinant of a matrix|2.5 Determinant of a matrix]] ===
 +
 
 +
=== [[Minors and cofactors|2.6 Minors and cofactors]] ===
  
 
== [[Matrix inversion|3 Matrix inversion]] ==
 
== [[Matrix inversion|3 Matrix inversion]] ==
  
=== [[Minors and cofactors|3.1 Minors and cofactors]] ===
+
=== [[Gauß-Jordan-Algorithm|3.1 Gauß-Jordan-Algorithm]] ===
 +
 
 +
=== [[Adjugate Formula|3.2 Adjugate Formula]] ===
 +
 
 +
==[[Transformations|4 Transformations]]==
 +
 
 +
===[[Translation|4.1 Translation]]===
 +
 
 +
===[[Rotation|4.2 Rotation]]===
 +
 
 +
===[[Homogeneous coordinates|4.3 Homogeneous coordinates]]===
 +
 
 +
===[[Combinations of transformations|4.4 Combinations of transformations]]===
 +
 
 +
===[[Inverse transformation|4.5 Inverse transformation]]===
 +
 
 +
==[[Three-Angle Representations|5 Three-Angle Representations]]==
 +
 
 +
===[[Roll-Pitch-Yaw|5.1 Roll-Pitch-Yaw]]===
 +
 
 +
===[[Euler angles|5.2 Euler angles]]===
 +
 
 +
==[[Quaternions|6 Quaternions]]==
 +
 
 +
===[[Basic properties of quaternions|6.1 Basic properties of quaternions]]===
 +
 
 +
===[[Pure and unit quaternions|6.2 Pure and unit quaternions]]===
 +
 
 +
===[[Addition of quaternions|6.3 Addition of quaternions]]===
 +
 
 +
===[[Multiplication of quaternions|6.4 Multiplication of quaternions]]===
  
=== [[Determinant of a 4-by-4 matrix|3.2 Determinant of a 4-by-4 matrix]] ===
+
===[[Rotations using quaternions|6.5 Rotations using quaternions]]===
  
=== [[Gauß-Jordan-Algorithm|3.3 Gauß-Jordan-Algorithm]] ===
+
===[[Composition of rotations|6.6 Composition of rotations]]===
  
=== [[Adjugate Formula|3.4 Adjugate Formula]] ===
+
==[[Denavit-Hartenberg Convention|7 Denavit-Hartenberg Convention]]==

Latest revision as of 15:58, 23 October 2015

This page contains a structured table of contents of the main articles. At the top of the articles there is a navigation bar with which the articles can be read through in the listed order. The order results from the appearance in the script and the fact, that the articles are partly based on each other. Basically the articles can also be read in any order.

1 Vector algebra

1.1 Unit vectors

1.2 Simple arithmetic operations

1.3 Dot product

1.4 Cross product

2 Matrices

2.1 Multiplication with a scalar

2.2 The transpose of a matrix

2.3 Addition of matrices

2.4 Multiplication of matrices

2.5 Determinant of a matrix

2.6 Minors and cofactors

3 Matrix inversion

3.1 Gauß-Jordan-Algorithm

3.2 Adjugate Formula

4 Transformations

4.1 Translation

4.2 Rotation

4.3 Homogeneous coordinates

4.4 Combinations of transformations

4.5 Inverse transformation

5 Three-Angle Representations

5.1 Roll-Pitch-Yaw

5.2 Euler angles

6 Quaternions

6.1 Basic properties of quaternions

6.2 Pure and unit quaternions

6.3 Addition of quaternions

6.4 Multiplication of quaternions

6.5 Rotations using quaternions

6.6 Composition of rotations

7 Denavit-Hartenberg Convention