DISCUSSION ON MULTI RESOLUTION WAVELET SMOOTHING OF FREE CURVE

Fairing is one of the design requirements of industrial products. The Fairing of curves and surfaces has important influence on product quality and physical properties. In recent years, wavelet based curve and surface fairing methods have received extensive attention in academic circles. Wavelet analysis is a widely used mathematical analysis tool based on the theory of signal analysis and processing. This method mainly utilizes the multi-resolution characteristic of wavelet, and the wavelet smoothing of curves and surfaces can be regarded as filtering the curves, removing the high frequency and retaining the low frequency. So as to achieve the smoothing effect of curves and surfaces. In this paper, we mainly discuss the multiresolution wavelet smoothing problem of free curve.