Theoretical studies on Iijima's ''Theory of Pattern Recognition,'' whi
ch is known as a method of multiple similarity, have shown clearly tha
t there are situations when it is difficult to determine the viewpoint
and visual field, important parameters to introduce topological aspec
ts into the pattern space, observing a figure itself. To cope with thi
s problem, this paper proposes transforming the observed image from a
figure f(r) to a second-order differential image rho(r), called ''figu
re source.'' The aim is to reconstruct the theory in such a way as to
enable the application of similarity evaluation methods as in the conv
entional case, without compromising the current theory, and all the ne
cessary proofs are given. In this paper, the figure source equation as
well as rules representing its properties are developed, and several
related physical quantities are redefined.