抄録
A theory of image formation with the use of matrices was proposed by Gabor and Gamo; it has been developed mainly by Gamo.
Four problems are presented here concerning the matrix theory of image formation. All the problems are worked out for one-dimensional system based upon Gamo's proposed matrix theory. They can however be extended directly to two-dimensional cases.
The first problem is to give the physical meaning of diagonalization of the intensity matrix with the help of the entropy loss concept in a linear filter defined in information theory. The second problem is to show the relation between the coherence properties and the proposed entropy concept. The third problem is to generalize the matrix theory of image formation in the field of an arbitrary frequency range with the use of the mutual coherence function defined by Wolf. The last problem is to define and to interpret the degree of coherence in this field.
