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2 November 2001 Ferguson curve model and morphological smoothing of ruled surfaces
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Abstract
This work studies the generation of a ruled surface from scattered data, which can be obtained by a shape- from - X procedure or can be an experimental output. The ruled surface is generated by the so- called Ferguson Curve Model. This model is an interpolation technique based on parametric cubic polynomials, and thus guaranteeing continuity of the curvature in each point of the initial set. We show how morphological operations - esp. openings and closings can be used to obtain good smoothness of the surface in practice. An application to robot motion planning is presented.
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Antony T. Popov "Ferguson curve model and morphological smoothing of ruled surfaces", Proc. SPIE 4476, Vision Geometry X, (2 November 2001); https://doi.org/10.1117/12.447270
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