A multi-level filtering approach for fairing planar cubic B-spline curves
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Cited by (23)
Fitting and fairing Hermite-type data by matrix weighted NURBS curves
2018, CAD Computer Aided DesignCitation Excerpt :Besides unified approaches for fitting and fairing, B-spline curves can also be faired independently after fitting or construction. Typical algorithms for B-spline curve fairing include knot removal [10,11], local or global energy minimization [12,13] and multi-scale filtering [14,15], etc. Compared with B-spline curves, NURBS curves are more flexible in shape representation [1,2,16].
Fairness degree based fairness criterion and fairing algorithm
2015, Applied Mathematics and ComputationCitation Excerpt :The early wavelet fairing algorithms were generally for the uniform B-splines [13,14]. In 2007, Amati proposed a wavelet fairing algorithm for quasi-uniform B-spline curves [16]. However, it has two disadvantages: (a) its efficiency is low; (b) the quasi-uniform wavelet transform limits the amount of control points.
Wavelets-based NURBS simplification and fairing
2010, Computer Methods in Applied Mechanics and EngineeringCitation Excerpt :Cho et al. introduced a fairing method with boundary continuity based on the uniform B-spline wavelets [7]. In 2006, Amati proposed a multi-level filtering approach for fairing planar cubic B-spline curves [1]. This method works for local and global fairing, but it is not extended to surface fairing.
Geometric constraint modelling: Boundary planar B-spline curves and control polyhedra for 5-axes response surface graph
2009, Computer Aided Geometric DesignSmooth reverse subdivision
2009, Computers and Graphics (Pergamon)Citation Excerpt :They preserve the volume constraint using a quadratic minimization process when the mesh is deformed through multiresolution decomposition. Amanti [11] proposes a wavelet based multi-level analysis approach to fair planar cubic B-spline curves. This approach is useful to find the curve segments that need to be smoothed.
Biorthogonal nonuniform B-spline wavelets based on a discrete norm
2009, Computer Aided Geometric Design