A method for manufacturing a filter array used in a system for generating spectral images corresponding to N wavelength bands where N is an integer greater than or equal to 4, the filter array including optical filters that are different from one another in spectral transmittance, the method comprising:
- calculating a correlation coefficient between the spectral images of a target concerning all combinations of two different wavelength bands among the N wavelength bands;
- and
- designing a transmittance distribution of the optical filters for each of the N wavelength bands on a basis of the correlation coefficient, wherein
- in the calculating the correlation coefficient, the correlation coefficient is calculated such that a correlation coefficient rij between an i-th transmittance distribution of the optical filters concerning light of an i-th wavelength band among the N wavelength bands where i is an integer greater than or equal to 1 and less than or equal to N and a j-th transmittance distribution of the optical filters concerning light of a j-th wavelength band among the N wavelength bands where j is an integer greater than or equal to 1 and less than or equal to N is expressed as follows:
- r
- ij
- =
- ❘
- "\[LeftBracketingBar]"
- ∑
- m
-
- ∑
- n
-
- (
- i
- mn
- -
- i
- 0
- )
-
- (
- j
- mn
- -
- j
- 0
- )
- (
- ∑
- m
-
- ∑
- n
-
- (
- i
- mn
- -
- i
- 0
- )
- 2
- )
-
- (
- ∑
- m
-
- ∑
- n
-
- (
- j
- mn
- -
- j
- 0
- )
- 2
- )
- ❘
- "\[RightBracketingBar]"
- where imn and imn are transmittance of an optical filter at an m-th row and an n-th column in the transmittance distribution of the optical filters concerning the light of the i-th wavelength band and transmittance of an optical filter at an m-th row and an n-th column in the transmittance distribution of the optical filters concerning the light of the j-th wavelength band, respectively, i0 and j0 are an average of transmittances of the i-th transmittance distribution and an average of transmittances of the i-th transmittance distribution, respectively, and the N wavelength bands are given numbers in an ascending or descending order of a central wavelength,
- the correlation coefficient rij satisfies rij>0.8 in a combination of the i-th transmittance distribution and the i-th transmittance distribution in which |i−j| is 1, and
- the correlation coefficient rij satisfies rij<0.8 in at least one combination of the i-th transmittance distribution and the i-th transmittance distribution in which |i−j| is greater than or equal to 2 and less than or equal to N−1.