Title :
Multiresolution moment filters: theory and applications
Author :
Sühling, Michael ; Arigovindan, Muthuvel ; Hunziker, Patrick ; Unser, Michael
Author_Institution :
Biomed. Imaging Group, Swiss Fed. Inst. of Technol., Lausanne, Switzerland
fDate :
4/1/2004 12:00:00 AM
Abstract :
We introduce local weighted geometric moments that are computed from an image within a sliding window at multiple scales. When the window function satisfies a two-scale relation, we prove that lower order moments can be computed efficiently at dyadic scales by using a multiresolution wavelet-like algorithm. We show that B-splines are well-suited window functions because, in addition to being refinable, they are positive, symmetric, separable, and very nearly isotropic (Gaussian shape). We present three applications of these multiscale local moments. The first is a feature-extraction method for detecting and characterizing elongated structures in images. The second is a noise-reduction method which can be viewed as a multiscale extension of Savitzky-Golay filtering. The third is a multiscale optical-flow algorithm that uses a local affine model for the motion field, extending the Lucas-Kanade optical-flow method. The results obtained in all cases are promising.
Keywords :
filtering theory; image resolution; image sequences; method of moments; splines (mathematics); wavelet transforms; B-splines; Lucas-Kanade optical-flow method; Savitzky-Golay filtering; dyadic scales; feature extraction; image analysis; local weighted geometric moments; multiresolution moment filters; multiresolution wavelet-like algorithm; multiscale local moments; multiscale optical-flow algorithm; noise reduction; sliding window; structure detection; two-scale relation; window function; Algorithm design and analysis; Biomedical optical imaging; Filtering theory; Geometrical optics; Image motion analysis; Image reconstruction; Image texture analysis; Optical filters; Shape; Spline; Algorithms; Computer Simulation; Cryoelectron Microscopy; DNA; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Least-Squares Analysis; Models, Statistical; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2003.819859