Measure axiom of outline similarity of multi-scale data and its calculation
Fenghua Zhao · Journal of Liaoning Technical University · 2012
In to improve the concept and calculation of the measurement of outline and widen the application of the outline calculation formulae,this paper will discuss the structure and representation theorem of sample geometric and adjust the measure axiom and calculation formulae of outline similarity.Under the definition of the sample geometric and the contour superiorsequence,this study proves the strictly weak sequence structure of profile optimal and the representation theorem in the outline analysis,which establish the logical basis for the measure axiom of outline similarity.Based on the study results,this study also defines the similar degree of sample geometry outline,and proves the strictly partial order structure of similarity and revises the outline calculation formulae.This study makes the concept of outline analysis and calculation formulae to be able to adapt to the requirements of multi-scale data analysis in different backgrounds.