We present the preliminary results of a digital holographic system that can
determine the two-dimensional velocity vector fields in several slices of
a sample volume. A CCD camera directly records the diffraction patterns of
small particles illuminated by a double-pulse laser diode. In fact, the dif
fraction can be interpreted as a convolution with a wavelet family of funct
ions. The scale parameter a is related to the distance z between a particle
and the CCD camera. Then, the intensity distributions in a plane located a
t a distance z are reconstructed by computing the wavelet components for th
e corresponding scale parameter a. Afterwards, a particle image velocimetry
algorithm is applied to the numerically reconstructed pair of images. The
feasibility of this technique is demonstrated for two simulated displacemen
ts.