Localization of objects with circular symmetry in a noisy image using wavelet transforms and adapted correlation

摘要

Two methods of detection of the position of objects with circular symmetry and variable size are presented. The methods, based on wavelet transforms, allow the determination of the center of the objects in a noisy background due for example to speckle in holographic images. The first method uses the orthonormal wavelet transform of an image, while the second uses the correlation product of the image with an adapted representation of the object. The last method is valid even for high noise levels.