1. A method for detection of local image structures represented as clusters in a joint-spatial range domain, comprising: receiving an input image made having one or more clusters in a joint-spatial range domain, and each of the one or more clusters having a corresponding mode; receiving a set of analysis matrices; selecting through each one of the analysis matrices, using the selected analysis matrix to partition the input image into the one or more clusters and their corresponding modes, and computing a mean, μ, and a local covariance matrix Σ for each of the corresponding modes of each of the one or more clusters; and selecting at least one of the one or more clusters, wherein each selected cluster has a stable mean and stable covariance matrix across the set of analysis matrices, and each of the selected clusters is indicative of a local image structure.