Discrete tomography for reconstruction from limited view angles in non-destructive testing

Detection, 3-D positioning, and sizing of small pore defects using digital radiography and tracking

“…However, a complete set of projections over the whole 180°rota-tion is needed, and some structures, for example planar structures, are therefore difficult to reconstruct. In certain situations, the problem with an incomplete rotation set can be solved by means of limited view tomography [4]. The second approach is based on not reconstructing the whole volume but rather by focusing on reconstructing the 3-D position of each defect, referred to as point reconstruction methods [5].…”

Information Content of Projections and Reconstruction of Objects in Discrete Tomography

“…In real-world applications the level of projection noise relies on many conditions, such as the characteristics of the radiation used for the projection acquisition, the beam strength, the properties of the material in the object, background noise, etc., most of which is dealt with in preprocessing steps [16,27,40,49]. Unfortunately, this makes the lifelike modelling of the noise extremely complicated, and highly application specific.…”

“…Since the acquisition of such projections can be very expensive and time-consuming, it is important to keep the number of projections as low as possible. If the object is made of homogeneous material then one approach to achieve this is to apply binary tomography for the reconstruction [1,16,40].…”

“…It is a widely used tool in various applications, like medical diagnostics [36,43], crystallography [1], non-destructive testing of materials [16,20,40], geology, etc.…”

Application of Discrete Tomographic Methods in Nondestructive Testing and Materials Science

“…A listing of a few sample uses follows: electron microscopy (EM) [91,102], medicine [28,32,47,89,100,117], radiography and nondestructive testing [23,49,111,143,172,180,187], reconstruction from limited view angles [62,100,111,191], electron tomography [11], materials science [14,15,31,126,136,148,155], geometric tomography [28,66,67,69,108], emission tomography [28,[118][119][120], geotomography [195]. Further examples for using DT in nondestructive testing and materials science are presented in Chapters 4-6 and Chapters 7-8 of the thesis, respectively.…”