Estimating the section elevation angle for cubes on cubic networks. Application to nickel superalloys characterisation.
Résumé
The paper discusses two new image analysis methods for the estimation of the elevation angle of the section plane of a material. These methods are applicable to materials such as nickel base superalloys, the microstructure of which shows cubes arranged on a cubic regular network. 3-D models which help to interpret the section images and to validate our approach were proposed. Our first method operates in the Fourier domain, and is based on the estimation of the spatial frequencies of the network of lines observed on the section. The second method is based on the average distance measured between fuzzy areas. Both methods are independent. Applied to real material samples, they produce comparable estimations. The values of the elevation angle allow us to cancel the bias associated with the estimation of the material phase dimensions.