Question

Define homogeneous coordinates. What are th
advantages of homogeneous coordinates ?
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Answer 1

Answer:

Homogeneous coordinates are a simple and efficient means to perform geometric transformations by matrix multiplication. ... Homogeneous coordinates exhibit several benefits: uniform treatment of all transformations. complex transformations can be built by combining individual simple transformations by matrix multiplication.

Answer 2

Answer:

Any point in the projective plane is represented by a triple (X, Y, Z), called the homogeneous coordinates or projective coordinates of the point, where X, Y and Z are not all 0. The point represented by a given set of homogeneous coordinates is unchanged if the coordinates are multiplied by a common factor.

The advantages of the homogeneous coordinate system are:

They help in capturing composite transformations conveniently. ... Capturing the concept of infinity is the main purpose of homogeneous coordinates while Euclidean coordinate system cannot does so, it is used to denote the location of the object.