A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
An introduction to wavelets
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
ACM Transactions on Graphics (TOG)
Wavelets for computer graphics: theory and applications
Wavelets for computer graphics: theory and applications
A shape controlled fitting method for Be´zier curves
Computer Aided Geometric Design
An automated curve fairing algorithm for cubic B-spline curves
Journal of Computational and Applied Mathematics - Special issue on computational methods in computer graphics
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Curvature and the Fairness of Curves and Surfaces
IEEE Computer Graphics and Applications
Local Energy Fairing of B-spline Curves
Geometric Modelling, Dagstuhl, Germany, 1993
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
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This paper reports the work on a novel wavelet-based multi-scale filtering application used to generate very smooth subset of profiles known as Class-A curves. The multi-scale representation, based on B-spline wavelets, allows to split a spline curves in terms of a coarser least-square approximation and details coefficients. It raises that non-Class-A curves are determined by geometric imperfections strongly connected to the details coefficients. The extraction and manipulation of details with multi-scale filtering allows to select and evaluate geometric imperfections. Finally, an efficient algorithm devoted to improve a given non-Class-A profile to a Class-A curve has been implemented and tested with several examples in order to check and visualize the results.