Agnostic G1 Gregory surfaces

Graphical abstractAgnostic G1 Gregory surfaces: input data, G0 intermediate surfaces, and final G1 surface.Display Omitted Highlights? G1 smoothness conditions for rectangular and triangular Gregory patches, which are rational surfaces, are presented. ? A G1 surface fitting algorithm for rectangular and triangular Gregory patches is outlined. ? The surface fitting method incorporates point-normal interpolation and the concept of tangent ribbons. We discuss G1 smoothness conditions for rectangular and triangular Gregory patches. We then incorporate these G1 conditions into a surface fitting algorithm. Knowledge of the patch type is inconsequential to the formulation of the G1 conditions, hence the term agnostic G1Gregory surfaces.

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