Hierarchical Clustering for Volumetric Scalar Fields Hierarchical Clustering for Volumetric Scalar Fields

We present a flexible method by which large unstructured scalar fields can be represented in a simplified form. Using a parallelizable classification algorithm to build a cluster hierarchy, we generate a multiresolution representation of the original data. The method uses principal component analysis (PCA) for cluster classification and a fitting technique based on a set of radial basis functions. Once the cluster hierarchy has been generated, we utilize a variety of techniques for extracting different levels of resolution. Professor Kenneth I. Joy Dissertation Committee Chair To my loving and ever supportive father.