Deforming NURBS Surfaces to Target Curves for Immersive VR Sketching

Junghoon KWON  Jeongin LEE  Harksu KIM  Gilsoo JANG  Youngho CHAI  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E93-D   No.1   pp.167-175
Publication Date: 2010/01/01
Online ISSN: 1745-1361
DOI: 10.1587/transinf.E93.D.167
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Computer Graphics
Keyword: 
virtual sketching,  target curve,  direct deformation,  NURBS,  FEM,  

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Summary: 
Designing NURBS surfaces by manipulating control points directly requires too much trial and error for immersive VR applications. A more natural interface is provided by deforming a NURBS surface so that it passes through a given target point; and by repeating such deformations we can make the surface follow one or more target curves. These deformations can be achieved by modifying the pseudo-inverse matrix of the basis functions, but this matrix is often ill-conditioned. However, the application of a modified FE approach to the weights and control points provides controllable deformations, which are demonstrated across a range of example shapes.