Thermal methods have been used in non-destructive testing as part of the collection of many techniques available for finding flaws in various materials. Although several types of Thermal Non-Destructive Testing (TNDT) are used on composite materials, the work presented as part of the present research is focused on plate steel samples. Defects are introduced on a steel sample prior to the start of the experiment and a scanning-laser TNTD method is used in an effort to find the defect locations. A moving line-source laser beam was utilized in an effort to scan the entire surface of a rectangular plate, pursuant to locating defects. In order to reconfigure a point beam of laser energy into a line-heating source, sheetforming optical components were used. Efforts were made to form the beam such that the intensity of the line-heating source would be as uniform as possible. The heat source was then scanned across the sample by placing the sample in a vertical position on a moving servo table which moved horizontally at a prescribed speed of 1 mm/s. This speed was chosen to allow the laser to be utilized at maximum power so as to generate the largest possible temperature gradient without exceeding a temperature rise of ten degrees centigrade. The large temperature gradient was desired in order to maximize the sensitivity of the defect-detection method, since the method of detection hinges on the principle that mechanical defects in the material generate perturbations in the measured temperature field. The relatively-small overall temperature rise of ten degrees is desired in order to allow the heat transfer to be modelled mathematically assuming constant thermal properties. A thermal camera was used for recording the temperature distribution on the non-heated side of the sample, and for this experiment, the camera used was the FLIR 8000. A series of ten images was recorded as the sample was scanned with the laser. Each image was fitted with a mathematical model. Although the thermal diffusivity of the sample is often ostensibly known, thermal diffusivity was treated as one of the unknown parameters in the fitting process. This is because there can be a variation in thermal diffusivity values within a collection of samples of a given type of materials. Moreover, the use of an accurate thermal diffusivity value in the mathematical model has a significant influence on the adequacy of the fit to the experimental data. Once the mathematical model is fitted to the experimental data by varying the thermal diffusivity and the shape of the heat flux, the calculated temperature is subtracted from the measured temperature and a residual temperature field is created. From looking at aberrations and anomalies in this residual temperature field, defects can be found by visual inspection of the residual temperature field image. As an additional feature of this research, the method of model-fitting is compared with a method involving simple spline fits and with the Mollification Method in terms of effectiveness.