1. Meaning: homogeneous coordinates is an n-dimensional vector representation of (n+1) dimensions. For example: two-dimensional coordinate point P (x, y) with the homogeneous coordinates of: (H*x, H*y, H). Two-dimensional coordinates and homogeneous coordinates are one-to-many relationships. The normalized homogeneous coordinates are usually used to take h=1. Normalized homogeneous coordinates (x,y,1) for (x, y). When H=0, the point is called the ideal point or infinity point, it has no equivalent non-homogeneous representation. Can be understood as a two-dimensional vector on a plane where the third dimension is a constant in three-dimensional space. This can be extended to a higher dimension. 2. Geometric meaning: The various transformations are represented by a matrix of the order of the orders. It provides an effective method to transform a graph by matrix operation, or to change one point from one coordinate system to another in two-dimensional, three-dimensional or even high-dimensional space.
A simple understanding of homogeneous coordinates
