The submitted paper aims to clarify the abrasive waterjet technology, particularly from the point of view of produced surface topography. It provides a new insight into the deformation process caused by the effect of abrasive waterjet and into the possibilities of using the surface topography for solving the issues of optimization of the process. The subject of study is a system of cutting tool, material and final surface topography and optimization of their parameters. The cutting or disintegrating tool of abrasive waterjet technology is flexible. The trajectory of its cut traces is strictly determined here by disintegration resistance at critical moments of tool-material interaction. The physico-mechanical character of the interaction within the cut will manifest itself in the final surface condition. This process can be re-analysed by measuring the selected elements of topography and roughness on the final surface, namely depending on the depth of the cut, technological parameters of the tool and mechanical parameters of the material. The mentioned principle is the basis of the presented solution. It lies in the analytical processing and description of correlation interrelations between set technological and measured topographical quantities in relation to the depth of cut and the type of material.

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Two dimensional Fourier transform is a powerful tool for image processing, especially in the field of image restoration and filtration. But also it is useful for detection of periodicities at any angle with respect to the image edge. This paper describes the use of two dimensional Fourier transform in the MATLAB environment to compute the length of a wave and the angle between the line that connects points with the same phase and the edge of an image. Several sets of images were processed in order to demonstrate the properties of two dimensional Fourier transform. The results along with description of the main algorithm are presented.