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Organisationseinheit der BAM
Eingeladener Vortrag
- nein (34)
Statistical analysis of tomographic reconstruction algorithms by morphological image characteristics
(2010)
We suggest a procedure for quantitative quality control of tomographic reconstruction algorithms. Our task-oriented evaluation focuses on the correct reproduction of phase boundary length and has thus a clear implication for morphological image analysis of tomographic data. Indirectly the method monitors accurate reproduction of a variety of locally defined critical image features within tomograms such as interface positions and microstructures, debonding, cracks and pores. Tomographic errors of such local nature are neglected if only global integral characteristics such as mean squared deviation are considered for the evaluation of an algorithm. The significance of differences in reconstruction quality between algorithms is assessed using a sample of independent random scenes to be reconstructed. These are generated by a Boolean model and thus exhibit a substantial stochastic variability with respect to image morphology. It is demonstrated that phase boundaries in standard reconstructions by filtered backprojection exhibit substantial errors. In the setting of our simulations, these could be significantly reduced by the use of the innovative reconstruction algorithm DIRECTT.
Die mitunter erhebliche Verschmierung von computertomograpischen Projektionen durch ausgedehnte Strahlenquellen wird durch eine neuartige Entschmierungsprozedur erheblich reduziert, um eine verbesserte Ortsauflösung der Rekonstruktion zu erreichen. Da die Breite der Verschmierungsfunktion der detektornahen und -fernen Objektelemente sich erheblich unterscheiden kann, muss die Entschmierung variabel sein. Im Gegensatz zu einer für alle Voxel-Positionen identischen Entfaltung, also einer grundsätzlich falschen Voraussetzung, wurde eine implizite Entschmierung entwickelt. Die vorab bekannte positionsabhängige Verschmierung wird auf die iterativ wiederholten Projektionen der Teilrekonstruktionen des DIRECTT-Algorithmus angewandt. Die variabel entschmierten Rekonstruktionen aus den Sinogrammen eines Pixelmodells mit Verschmierungen von 1 bis 5 Pixel erreichen eine Ortsauflösung von nahezu einem Pixel.
The emerging technology of generation and detection of Terahertz waves (1 THz = 1012
Hz) offers diverse potentials in non-destructive testing (NDT) regarding security as well
as safety aspects. Herein, we focus on the latter with emphasis on imaging techniques.
The THz range (0.1
10 THz, 3mm
30 µm) closes the technological gap between
ultra high frequency electronics and FIR optics in the electro-magnetic (EM) spectrum.
Electro-optical sampling provides straight access to the EM wave including its phase
(rather than intensity). THz waves are well suited to characterize non-metallic materials
since they penetrate paper, plastics, ceramics and certain composites (e.g. GFC).
We employ a commercial fibre-coupled THz time domain spectrometer (TDS) for
scanning the samples laterally through a focal spot. At each position the entire temporal
pulse train is recorded, which offers the opportunity to use various parameters derivable
for imaging.
Topographic measurements are performed as reflection set-up. The achievable spatial
resolution is diffraction limited at about 100 µm -300 µm (which allows for perception
of single defects on a sub-mm scale). In contrast to typical pulse echoed ultrasound
testing THz topography is a non-contact inspection tool without coupling agents.
Several reflections of subsequent concealed layers are detected instead of just the first
encountered one. Comparing to X-ray (radiology) the non-ionizing THz-waves generate
images of similar contrast regarding metal and plastic (organic) components, while
conventional radiography emphasizes one type of material depending on the energy preselected.
Moreover, the full temporal information is exploited to derive spectra in
certain selected time windows, i.e. separated spectral properties of each layer in
multilayered structures.
Tomographic measurements are performed in transmission mode. The sample is
mounted on a rotation stage in order to allow for lateral scanning under the different
projection angles. The reconstruction is typically performed by filtered backprojection,
which is widely used for X-ray CT. The adaption of this technique to the THz range
comes along with several experimental drawbacks such as considerable refraction and
scattering. According to these difficulties we investigate the occurring artefacts. The
THz-TDS provides the opportunity to calculate a separate backprojection of each
frequency interval as obtained by the Fourier transformation of the recorded time
resolved amplitude. This results in a spectrally resolved reconstruction of each voxel,
which is unique in computed tomography technology.
Computed tomography reconstructions of projected data usually assume an ideal point-like
focal spot. However, in practice, the actual finite focus size leads to blurred projections,
unavoidably. The elements (voxels) of the reconstruction array are smeared differently as a
function of their individual position relative to source and detector. Neglecting the focal
smearing generates considerably blurred reconstructions. Previous attempts were based on
directly deconvolving blurred projections from a constant kernel, which yields better results
but still exhibits artefacts. Iterative algorithms can be adopted to take into account focal
smearing as a function of position. However, this requires detailed prior knowledge of
quantitative smear functions. The DIRECTT (Direct Iterative Reconstruction of Computed
Tomography Trajectories) algorithm is a promising candidate to meet these requirements. It
has been demonstrated elsewhere that DIRECTT copes with limited data sets such as
limited view and region-of- interest data by tracing single sinusoidal-like trajectories in
Radon space, which are selected from the set of all possible trajectories by appropriate
criteria. Currently, position-dependent smearing is used in the projection part of iterations.
At the example of model reconstructions we demonstrate the gain of spatial resolution by
iterative variable desmearing according to the DIRECTT algorithm in comparison to the
standard filtered back-projection.
Magnetic domains have been the subject of much scientific investigation since their theoretical existence was first postulated by P.-E. Weiss over a century ago. Up to now, the three-dimensional (3D) domain structure of bulk magnets has never been observed owing to the lack of appropriate experimental methods. Domain analysis in bulk matter thus remains one of the most challenging tasks in research on magnetic materials. All current domain observation methods are limited to studying surface domains or thin magnetic films. As the properties of magnetic materials are strongly affected by their domain structure, the development of a technique capable of investigating the shape, size and distribution of individual domains in three dimensions is of great importance. Here, we show that the novel technique of Talbot-Lau neutron tomography with inverted geometry enables direct imaging of the 3D network of magnetic domains within the bulk of FeSi crystals.
CT (computed tomography) reconstructions of fuel cell components of a yet unrivaled spatial resolution and quality are presented. This is achieved by application of the novel DIRECTT (Direct Iterative Reconstruction of Computed Tomography Trajectories) algorithm. We focus on two different key issues which essentially rule the fuel cell's durability on different length scales and physical interactions. On the resolution scale of some 100 µm agglomerations of condensed water in flow-field channels are detected by means of quasi-in situ neutron CT (after operation). Five orders of magnitude below nanometer sized Ru catalyst particles on carbon black support are visualized by electron tomography. Both types of experiments are especially adapted to the type of material involved but they are accompanied by severe deviations from ideal CT measuring conditions, as well. In order to overcome the tremendous reconstruction artifacts of standard algorithms, we employ DIRECTT which is described in detail. Comparisons of DIRECTT reconstructions to the conventional filtered back projection, prove the significant improvements in both experimental methods.