Bi-curve and multi-patch smoothing with application to the shipyard industry

Algorithms are proposed and implemented in a commercial system which allow for the C1-continuity matching between adjacent B-spline curves and B-spline patches -- These algorithms only manipulate the positions of the control points, therefore respecting the constraint imposed by the sizes of the available commercial steel plates -- The application of the algorithms respect the initial hull partition made by the designers and therefore the number and overall shape and position of the constitutive patches remains unchanged -- Algorithms were designed and tested for smoothing the union of (a) two B-spline curves sharing a common vertex, (b) two B-spline surfaces sharing a common border, and (c) four B-spline surfaces sharing a common vertex -- For this last case, an iterative heuristic degreeof-freedom elimination algorithm was implemented -- Very satisfactory results were obtained with the application of the presented algorithms in shipyards in Spain

• Autores: Leiceaga, Xoán A.; Ruíz, Oscar; Vanegas, Carlos; Soto, Eva; Prieto, José; Rodríguez, Manuel
• Fecha de publicación: 2007
• Institución: Universidad EAFIT
• Repositorio: Repositorio EAFIT
• Idioma: eng
• OAI Identifier: oai:repository.eafit.edu.co:10784/9683
• Acceso en línea: http://hdl.handle.net/10784/9683
• Palabra clave: MECÁNICA DE FLUIDOS; COLECTORES (INGENIERÍA); TRANSFORMACIONES DE FOURIER; TEORÍA SPLINE; TOPOLOGÍA; CURVAS PROYECTIVAS; Fluid mechanics; Fourier transformations; Spline theory; Topology; Projective curves; Fluid mechanics; Fourier transformations; Spline theory; Topology; Projective curves
• License: Acceso cerrado