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Proceedings e report - Firenze University Press

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WOOD SCIENCE FOR CONSERVATION OF CULTURAL HERITAGE<br />

The hardware needed for DICT is simply a digital camera suited for photogrammetry and having a<br />

reasonably high resolution and a homogenous illumination (Fig.4 left). Until recently resolutions<br />

exceeding 10 Megapixel could only be achieved by mechanical scanning. For example, the results<br />

presented below were obtained using a Rollei SX6006 having a CCD line detector with 5000 pixels<br />

(size: 15 µm x 15 µm). The detector was scanned mechanically in 5048 steps over the image plane<br />

resulting in a resolution of more than 25 Megapixel. Even today the so-called micro-scan principle is<br />

frequently used to increase the resolution of matrix detectors. In this type of camera, the detector can<br />

be shifted 1/2 pixel (or some other fraction of a pixel) in both directions of the detector plane. In such<br />

a way four images with different detector positions can be taken and combined into one highresolution<br />

image. A detector having 2048 x 2048 pixels makes thus images having an effective<br />

resolution of 4096 x 4096 pixels.<br />

Lamp<br />

Object<br />

PC<br />

Camera<br />

Lamp<br />

Screen with<br />

correlation fringes<br />

Fig. 4: Set-up for DICT measurement on beams of half-timbered houses (left) and a typical result (right)<br />

By acquiring a reference image before and a final image after applying a load to an object (e. g., a<br />

climatic change) the displacement can be calculated by dedicated algorithms. These compare a given<br />

pixel in the reference image with every pixel in the final image in the following way: A subset of n x n<br />

pixels centred around each of the pixels to be compared is defined. The cross correlation function<br />

between these two subsets is calculated. The pixel in the final image giving the largest correlation<br />

coefficient is identified with the pixel in the reference image so that the displacement can be calculated<br />

(Fig. 4 right). The procedure is repeated for every pixel in the reference image. This is obviously a<br />

time-consuming procedure. For practical reasons it is often necessary to limit the number of final<br />

pixels to be compared with a given reference pixel. This is normally done by defining a search region<br />

of size N x N around the reference pixel with n < N ≤ 100.<br />

Fig. 5: Displacements of a beam of a half-timbered house in x- and y-direction along a line parallel to the beam<br />

(left) and comparison of DICT and strain gauge data (right)<br />

The displacements obtained in such a way are often displayed by vectors as shown in the right part of<br />

Fig.4 for the example of a beam of a half-timbered house. The image shows also a conventional strain<br />

gauge which is mounted in order to compare their data with DICT measurements. The displacements<br />

along a line parallel to beam are plotted in the left part of Fig.5 separately for the x- and the y-<br />

171<br />

mm<br />

DICT displacement<br />

Strain gauge displacement<br />

Date

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