## Abstract

We propose a nondestructive inspection method for the quantitative
analysis of molds inside soya beans (*Phaseolus coccineus
L*.) that does not render the beans unfit for human
consumption. Three near-infrared lasers are used for multispectral
transmission imaging of the beans. Eigenvalue analysis and a
least-squares method are used for estimation of the diffuse reflectance
spectrum of each type of mold. The estimated spectra are used for
determining the internal concentration of the molds inside the
beans. Experimental results verify the usefulness of our
method.

© 1999 Optical Society of America

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### Equations (5)

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(1)
$$\left[P\right]=\left[\begin{array}{ccc}{a}_{\mathrm{1,1}}& \cdots & {a}_{\mathrm{1,900}}\\ \vdots \\ {a}_{\mathrm{10,1}}& & {a}_{\mathrm{10,900}}\end{array}\right],$$
(2)
$${\left[P\right]}^{t}\left[P\right]x=\mathrm{\zeta}x$$
(3)
$${S}_{i}\left(j\right)=\sum _{k=1}^{m}{t}_{\mathit{ik}}{x}_{k},$$
(4)
$${P}_{n}\left(j\right)=\sum _{h=1}^{i}{C}_{\mathit{hn}}{S}_{h},$$
(5)
$${\left[{A}_{{\mathrm{\lambda}}_{1}}\left(N\right){A}_{{\mathrm{\lambda}}_{2}}\left(N\right){A}_{{\mathrm{\lambda}}_{3}}\left(N\right)\right]}^{t}=\left[\begin{array}{cc}{a}_{1,{\mathrm{\lambda}}_{1}}& {a}_{2,{\mathrm{\lambda}}_{1}}\\ {a}_{1,{\mathrm{\lambda}}_{2}}& {a}_{2,{\mathrm{\lambda}}_{2}}\\ {a}_{1,{\mathrm{\lambda}}_{3}}& {a}_{2,{\mathrm{\lambda}}_{3}}\end{array}\right]\left[\begin{array}{c}{c}_{1}\left(N\right)\\ {c}_{2}\left(N\right)\end{array}\right],$$