Modelling method and system

A data processing system comprising:

• a processor;
• and
• an accessible memory, the data processing system particularly configured to:
• receive in a data processing system a profile of a product represented as a parametric curve;
• receive a user input including an offset relation to the parametric curve;
• generate an offset parametric curve corresponding to the received profile of the product represented as a parametric curve based on the user input;
• create a spline approximation of the generated offset parametric curve;
• carry out a step of computing self-intersections in the created spline approximation;
• if no self-intersection is present for the spline approximation, terminate the process;
• and output the offset parametric curve as the offset profile of the parametric curve;
• if a self-intersection is present, split the spline curve at one or more regions of self-intersection;
• remove the one or more regions of self-intersection from the spline approximation of the offset parametric curve to form a modified spline approximation;
• and, repeat the step of computing the self-intersections in the modified spline approximation until no self-intersection is present, then output the modified spline approximation of the offset parametric curve.

A non-transitory computer-readable medium encoded with executable instructions that, when executed, cause one or more data processing systems to:

• receive in a data processing system a profile of a product represented as a parametric curve;
• receive a user input including an offset relation to the parametric curve;
• generate an offset parametric curve corresponding to the received profile of the product represented as a parametric curve based on the user input;
• create a spline approximation of the generated offset parametric curve;
• carry out a step of computing self-intersections in the created spline approximation;
• if no self-intersection is present for the spline approximation, terminate the process and output the offset parametric curve as the offset profile of the parametric curve;
• if a self-intersection is present, split the spline curve at one or more regions of self-intersection;
• remove the one or more regions of self-intersection from the spline approximation of the offset parametric curve to form a modified spline approximation;
• and, repeat the step of computing the self-intersections in the modified spline approximation until no self-intersection is present, then output the modified spline approximation of the offset parametric curve as the offset profile of the parametric curve.