Research on Geometric Signal Processing Technology Based on Local Wave Analysis
|School||Zhejiang University of Technology|
|Course||Computer Software and Theory|
|Keywords||Local Wave Digital Curves Medical Image Enhancement Mesh model Fairing Gauss curvature|
Digital curve can be regarded as the geometry a discrete signal; the image space discretization, digital image; 3D geometric model can be viewed as a series of discrete points of non-stationary signals. Thus the digital curve, image processing and three-dimensional geometric model can be used to signal processing methods. Geometric signal processing techniques for surface reconstruction and development of CAD technology has great significance. After the brief introduction to Fourier analysis and wavelet analysis, this article analyzes the lack of both in the treatment of non-stationary signals, which introduces local wave analysis. Analysis of the local wave is a new non-stationary and nonlinear signal analysis method, it will be a complex non-stationary signals gradually broken down into a number of different characteristic scales smooth data layer superimposed trend items, so that when the - frequency at the same time local, self-adaptive, the singular signal processing results of pollution control in the minimum range. Digital curve is a discrete non-stationary signals, local wave analysis is applied to the digital curve smoothing, after the local wave analysis biodegradable high-frequency components of the digital curve, reconstructed signal obtained curve fairing digital. Local wave analysis is extended to the two-dimensional space, the application of the two-dimensional local wave analysis of the image can be decomposed into high frequency and low frequency information, enhanced decomposition of the high-frequency component superimposed on the remaining components can be realized the entire image enhancement, this paper proposes to apply the method to medical image enhancement, enhanced after the details of the image clearer. The four sides of the domain surface and the two-dimensional image signal there is a natural mapping using the two-dimensional image of the local wave analysis, design and realization of the the the rule domain Fairing analysis based on local wave. The Local Wave analysis applied to three-dimensional geometric signal can fairing mesh model. Grid spherical parameterization method, proposed and implemented the eventual realization of the local wave analysis by the coordinate values ??of the mesh model grid mesh smoothing treatment based on the analysis of the local wave Smoothing Treatment . Experimental results show that the geometric signal processing techniques based on local wave analysis geometric signal smoothing and enhanced good experimental results have been processed in the digital curve, and images, as well as three-dimensional grid model processing.