Abstract
This paper presents an object-oriented approach to interactive modelling of geometric objects. The objects are specified by geometric constructions that are built by mimicing the compass-and-ruler manual approach in a direct manipulation graphical interface. The system adopts a programming-by-example paradigm to enrich construction methods incrementally. New constructions can be used to define new classes of objects or new methods for an existing class. Messages exchanged among objects specify geometric relationships among entities. Messages sent at construction time implicitly form a relationship network, which is preserved during subsequent geometric transformations, so that geometric constraints can be satisfied without resorting to numerical methods. The prototype GEObject is implemented under Actor in a Windows 3.0 environment.
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Alberti, M.A., Bastioli, E. & Marini, D. Towards object-oriented modelling of euclidean geometry. The Visual Computer 11, 378–389 (1995). https://doi.org/10.1007/BF01909878
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DOI: https://doi.org/10.1007/BF01909878