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Mean homogeneous coordinates are a mathematical representation that extends traditional homogeneous coordinates by incorporating an average or mean value for the coordinate system. In this context, each point in projective space is represented not just by a set of coordinates, but by a mean of multiple points, allowing for a more generalized interpretation of geometric transformations. This approach is particularly useful in computer graphics and computer vision, where it aids in simplifying calculations related to perspective transformations and interpolation between points. By using mean homogeneous coordinates, one can effectively manage and manipulate sets of points in a more cohesive manner.

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What is homogenous co-ordinate system?

A homogeneous coordinate system is a mathematical concept that extends Euclidean space by introducing an additional coordinate, typically denoted as w. This extra coordinate allows for representation of translation transformations in addition to rotation and scaling, making it useful in computer graphics and computer vision for handling transformations efficiently. Homogeneous coordinates are often used in 3D graphics to simplify matrix operations and transformations.


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