Analysis is understood as the science which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.Synthesis is understood as the combination of separate elements of thought into a whole, as of simple into complex conceptions. Thus, synthesis refers to the art or process of making a compound by putting the ingredients together, as contrasted with analysis.Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two necessary parts of the same method. Each is the relative and correlative of the other.
slide #11A main aim of genetic programming research is to show that this new machine learning paradigm is able to provide solutions which are human competitive.This work shows that a deep analysis of the problem provides the criteria, fitness functions, as well as the definitions of the function and terminal sets to achieve human competitive results. We claim that this research is moving forward the state-of-the-art of interest point detection providing not only the probe that previous man made designs have been rediscovered by genetic programming, but also that new interest point detectors have been synthesized.