Generalized Developable Cubic Trigonometric Bézier Surfaces

This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address fundamental issue local surface adjustment. The GDCT-Bézier are made by means GDCT-Bézier-basis-function-based control planes and alter their modifying parameter value. designed maintaining classic characteristics when take on different values. In addition, terms defined creating geodesic interpolating surface. conditions appropriate suitable G1, Farin–Boehm G2, G2 Beta continuity in two adjacent also created. Finally, few important aspects newly formed influence discussed. modeling example shows that proposed succeeds can significantly improve capability solving problems design engineering.