An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Teddy: a sketching interface for 3D freeform design
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
SmoothSketch: 3D free-form shapes from complex sketches
ACM SIGGRAPH 2006 Papers
Technical Section: Multiresolution for curves and surfaces based on constraining wavelets
Computers and Graphics
Generalized hierarchical NURBS for interactive shape modification
VRCAI '08 Proceedings of The 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
Monge mapping using hierarchical NURBS
The Visual Computer: International Journal of Computer Graphics
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In a three dimensional (3D) environment, non-uniform rational B-spline surfaces (NURBS) have been a standard in CAD industry for free-form shape modelling. Feature based design is widely used in CAD design. This paper addresses the issue of form feature design on free-form surfaces. Based on the multi-resolution and refinement scheme, the Hierarchical NURBS (H-NURBS) representation is proposed for localized form feature modelling. More specifically, the patch-based form feature modelling concept will be discussed. H-NURBS representation introduced here not only offers powerful functionality for form feature modeling on freeform surface, but also overcomes the problems inherited from the traditional control point based shape modelling. We will investigate first the extrusion operation to create various form features on freeform surfaces. Patterning operation of form features as well as form feature cut-&-paste operation on freeform surfaces/shapes will be studied for efficient and effective local shape design. Interactive methodology and techniques will be developed for the patch-based form feature modelling with an emphasis on the native and easy parameter control.