Abstract
Abstract This work presents a method to determine the curve that approximates the worn perimeter in a turbine blade. A CAD model is used as reference and it is searched for points of a measured point cloud that shows a worn in a blade. A threshold is used to filter measured and fabrication errors, resulting in a point cloud that just indicates the worn region. The alpha complex algorithm is used to triangulate the determined points. The resulting triangulation eliminates long edges making possible to a triangulation with concave regions. The boundary points of this triangulation is determined by the search for edges that belongs to just one triangle. A simulated annealing is used to optimize a cost function to determine the piecewise cubic Bezier curve that approximates these boundary points.
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