Construction of Surfaces Defined from Planar Curves in Python

Rubén U.; Yheff C.; Ronald S.; Javier J.; Manuel G.; Vanesa S.; Jorge T. · Proceedings of the LACCEI international Multi-conference for Engineering, Education and Technology (2025) · DOI: 10.18687/laccei2025.1.1.1272

Resumen

This article presents several techniques for constructing surfaces defined from planar curves. The first surface studied is the bilinear surface, which requires only four points. By generalizing the bilinear surface, we obtain the so-called Ruled Surfaces, which are frequently used in the aerospace industry. A particular case of ruled surfaces is cylindrical surfaces, which are created by translating a planar curve along a straight trajectory. Another method for generating surfaces involves rotating a planar curve around an axis in space; such surfaces are called surfaces of revolution. Swing surfaces are a generalization of surfaces of revolution, as instead of the curve rotating around a circle, it does so along another arbitrary curve.

Instituciones: Universidad Nacional de Piura; Universidad Tecnológica del Perú