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Using homogeneous coordinates, a rational curve can be represented in a nonrational form. Based on such a nonrational representation of a curve, a simple method to identify inflection points and cusps on 2-D and 3-D rational curves is proposed.
In reverse engineering, vast amounts of point data captured by certain types of scanners significantly increase the complexity and reduce the efficiency in downstream activities, such as surface modelling and manufacturing. Data reduction has therefore become an important issue. A new data reduction algorithm for surface points is developed to preserve the… (More)