THE WAVELET AND ITS APPLICATION IN IMAGE EDGE-DETECTION

An image pyramid with multi-resolution is needed for coarse-to-fine im age matching. A modern GIS should have a multiscaling function and an image analysis system should effectively analyse the multiresolution i nformation content of images. Therefore, the development of a new theo ry which concentrates on the processing of multiresolution signals is necessary. The wavelet theory is nowadays such a theory with great pot ential; its basic concepts and properties will be introduced below. In this paper, the methods are described using the Gaussian function as the smoothing function to generate wavelets for image edge detection f rom digitized images of aerial photographs. As compared with famous op erators such as the zero-crossings and Sobel operators, the new approa ch displays many advantages. This theory is also valuable for pattern recognition, computer vision, image analysis, the solution of partial differential equations and the analysis of fractals.