Methods for constraint based conceptual free-form surface design [Elektronische Ressource] / vorgelegt von Pavol Michalik

Methods for Constraint based ConceptualFree form Surface DesignDissertationzur Erlangung des akademischen GradesDoktoringenieur (Dr.–Ing.)vorgelegt der Fakultät für Informatik und Automatisierungder Technischen Universität Ilmenauvorgelegt von Dipl.–Inf. Pavol Michalikgeboren am 18. 07. 1971 in Trnavavorgelegt am 16. 08. 2003Verteidigung am 6. 11. 2003Gutachter 1. Prof. Dr. Beat Brüderlin2. Prof. Dr. Guido Brunnett3. Prof. Dr. Hans HagenAbstractThe constrained based design of free form surfaces is currently limited to tensor-product interpolation of orthogonal curve networks or equally spaced grids ofpoints. The, so called, multi patch methods applied mainly in the context of scat tered data construct surfaces from given boundary curves and deriva tives along them. The limitation to boundary curves or iso parametric curves con siderably lowers the flexibility of this approach. In this thesis, we propose tocompute surfaces from arbitrary (that is, not only iso parametric) curves. Thisallows us to deform a B spline surface along an arbitrary user defined curve, or,to interpolate a B spline surface through a set of curves which cannot be mappedto iso parametric lines of the surface.