Digital Signal Processing Reference
In-Depth Information
Fig. 2.21
Signal flow diagram of proposed SEFCM algorithm
Fig. 2.22
Signal flow diagram of proposed CEFCM algorithm
together, the CEFCM adopts three dimensional eigen-subspaces data for classifica-
tion. The function block diagram of the CEFCM is shown in Fig. 2.22 . Similar to
SEFCM, we also construct new covariance matrices that are similar to ( 2.47 )by
using the eigen-subspace data z q in stead of x q in color images. In view of statistical
inference and fuzzy property, we can construct a new covariance matrix for the j th
cluster center as
N
q = 1 u jq z q z q .
1
C z j =
(2.53)
q
1 u jq
=
It is not necessary to iteratively rebuild the covariance matrix and construct the
new eigen-subspaces from the original color images because the color objects are
selected under our inspection. We can gradually adjust the direction of principal axes
by using the already built eigen-subspaces so that large amount of transformation
computations can be saved. In updating procedures, we adopt the new covariance
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