Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
Introduction to Computer Graphics
Introduction to Computer Graphics
Wavelets for Computer Graphics: A Primer, Part 1
IEEE Computer Graphics and Applications
Wavelets for Computer Graphics: A Primer, Part 2
IEEE Computer Graphics and Applications
Design of sculptured surfaces using the b-spline representation
Design of sculptured surfaces using the b-spline representation
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The piecewise polynomial B-spline representation is a flexible tool in Computer Aided Geometric Design (CAGD) for representing and designing the geometric objects. In the field of Computer Graphics (CG), Computer Aided Design (CAD), or Computer Aided Engineering (CAE), a very useful property for a given spline model is to have locally supported basis functions. This allows localized modification of the shape. Unfortunately this property can also become a serious disadvantage when the user wishes to edit the global shape of a complex object. A multi-resolution representation is proposed as a solution to alleviate this problem.In this work, we propose a multi-resolution representation for Non-uniform B-splines (NUBS). The proposed multi-resolution model has three features that it uses control point decimation strategy for decomposing NUBS curves and it is efficient in both time and space utilization. A comparative study of the proposed work is also made with an alternate approach in the literature, which is based upon knot decimation.