Anderson, Leif, authorEykholt, Richard, advisorRobinson, Raymond Steve, committee memberGelfand, Martin, committee memberWu, Mingzhong, committee memberShipman, Patrick, committee member2007-01-032007-01-032014http://hdl.handle.net/10217/82579There are multiple definitions for fractal dimension, and those definitions disagree. The multifractal spectrum provides a unifying framework for a broad family of definitions of dimension, but it requires large amounts of data to compute. We provide a description of the multifractal spectrum, one existing improvement that improves convergence for small data sets: the Extended Box Algorithm (EBA), and develop several further improvements: Local and Global Norm modifications to the EBA, the a-Norm, the Variable Box size Algorithm (VBA), and the Patchwork method.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.multifractalText