Toyota Jidosha Kabushiki Kaisha

Daisuke Iwamoto

Atsushi Takagi

Junji Ishida

A units of red {u-u}, B units of green {v-v} and C units of blue {w-w} are sampled and measurements are performed, and an interpolation equation is found from the A&#xd7;B&#xd7;C units of data in three-dimensions (L*, a*, b*) that are obtained. Firstly, A units of point sequence data in 3&#xd7;B&#xd7;C dimensions are least squares approximated for the parameters u, and Mu control points in 3&#xd7;B&#xd7;C dimensions are found. Then, B units of point sequence data in 3&#xd7;C&#xd7;Mu dimensions are least squares approximated for the parameters v, and Mv control points in 3&#xd7;C&#xd7;Mu dimensions are found. Next, C units of point sequence data in 3&#xd7;Mu&#xd7;Mv dimensions are least squares approximated for the parameters w, and Mw control points in 3&#xd7;Mu&#xd7;Mv dimensions are found. Then, output values (L*,a*,b*) corresponding to arbitrary input values (Red,Green,Blue) can be obtained by an interpolation equation according to Mu&#xd7;Mv&#xd7;Mw final control points in three dimensions and basis functions used in the least squares approximations.

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Nagoya, Japan

Daisuke Iwamoto