Manipulator Robot——(2) Pose Description and Coordinate Transformation

Learn the basic principles of robots MOOC of the main school, study records.

1. Position and pose of rigid body

Insert picture description hereInsert picture description here

Orthogonal coordinate system

Insert picture description here

The nature of the orthogonal coordinate system

Insert picture description here

Insert picture description here
Insert picture description here
Insert picture description here

The Geometric Meaning of Orthogonal Coordinate Transformation Matrix

Insert picture description here
Insert picture description here

2. Coordinate system translation and rotation transformation

(1) Coordinate system translation

Insert picture description here

(2) Coordinate system rotation

Insert picture description here

Transformation matrix

Insert picture description here

Insert picture description here
Insert picture description here

(3) Compound transformation

Compound transformation = translation + rotation
Insert picture description here
Insert picture description here

3. Homogeneous coordinates of the robot

(1) Basic concepts and properties of homogeneous coordinates

Insert picture description here

Insert picture description here
Insert picture description here
Insert picture description here
Insert picture description here
Insert picture description here
Insert picture description here
Insert picture description here

(2) Use homogeneous transformation matrix to represent translation transformation

Insert picture description here
Insert picture description here
Insert picture description here

(3) Use homogeneous transformation matrix to represent rotation transformation

Insert picture description here

Insert picture description here

(4) Use homogeneous transformation matrix to represent rotation + translation transformation

Insert picture description here
Insert picture description here

(4) Use a homogeneous transformation matrix to represent the rotation and movement of the hand

Insert picture description here
Insert picture description here

Insert picture description here

4. Homogeneous transformation of the robot

(1) The nature of homogeneous transformation

Nature 1:

Insert picture description here
Insert picture description here

Insert picture description here

Nature 2:

Insert picture description here
Insert picture description here

Create transformation equation

Insert picture description here
Insert picture description here
Insert picture description here

Insert picture description here

Insert picture description here
Insert picture description here

Guess you like

Origin blog.csdn.net/qq_45779334/article/details/114809925