ABSTRACT
This chapter introduces a variety of orthogonal transformations which are available and which have been effective in the study of various types of physical data. An important ancillary feature of this presentation is the list of the references which accompanies the discussion. The final usefulness of any transformation is its performance in distinguishing important morphological features in the data under study. The chapter focuses on the transformations which may be applied to the projected wave-form either as a continuous function or a discrete sampled version. Physical reasoning dictates that as long as reentrant points are resolved unambiguously, the final wave-form must be continuous. The chapter deals with orthogonal transforms defined over the continuum. Signal processing generally involves digital computing machinery which implies the practical consideration of only a sampled version of the particle's perimeter. The chapter provides a brief motivation for the valid sampling of continuous waveforms.
