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A method for generating a data structure to digitally represent a geometrical object based on H-splines, the method being performed on a computer device having a data processor and memory, the method including the steps of creating a first data structure and storing a plurality of control points and higher order derivatives that define the geometrical object in a parameter domain using the H-splines in the first data structure of the memory, creating a second data structure and storing coordinate data that define the geometrical object as a coordinate data model in the second data structure of the memory, and creating and storing a connectivity array in the memory that links the plurality of control points of the parameter domain to the coordinate data of the coordinate data model.