In general language translation means to translate the code or language in other language for better communication. Translation is mainly used to convert an object from a form to another form. We can see this term Translation in various fields as in physics, chemistry and in maths.
Translation MatrixBack to Top
In order to multiply the matrices the column number of first matrix should be equal to the number of rows of another matrix then only we can multiply two matrixes and get another matrix as a result.
A matrix can either be rotated or translated. Other name of Rotated matrix is Rotation Matrix and translated matrix is also called as translation matrix. The combine form of these two matrixes is called transform matrix.
Here we will discuss the translation matrix. When we get the matrix from transform matrix by doing the space transformation, that matrix is called translation matrix. This translation matrix is denoted by (T). The relation between rotation matrix translation matrix and transform matrix is given as:
R-T = Tr,
Here R is rotation matrix and Tr is transform matrix. In matrix translation, there is a shifting of coordinates only in 2D, this shifting is performed from initial space to the destination space.
Do you know how to find translation matrix? The steps mention below are used for the same:
Step 1: Identify two matrix and their variables.
Step 2: Identify the coordinates of variables.
Step 3: Form the matrix.
Step 4: Do the above three steps for image matrix as well.
Step 5: Coordinates of first matrix + coordinates of image matrix = coordinates of translation matrix.
Step 6: Coordinates of image = coordinates of translation matrix + coordinates of pre image.
Step 7: We get the same matrix we had before by applying these steps.