A comparative study between Piecewise-Linear and Point-Based methodologies for galvanometer mirror systems
Galvanometer mirror systems are a fundamental tool used in many research fields to deploy curves over virtually any surface. Even though the point-based methodology is the current standard used to achieve this task, it has the shortcoming of using a format of coordinates (expressed as a massive list of points) to represent the curve to be displayed, requiring large memory arrays. An alternative methodology is the so-called Piecewise-Linear which representation format is based on the use of a mathematical Piecewise-Linear formulation where the curves to be drawn are treated as a parametric system composed of two positional equations, X and Y, related to each other by an artificial parameter \mu. In comparison against the point-based method, Piecewise-Linear exhibits attractive advantages such as: memory saving and improved sharpness for projected curves.
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