Hierarchical Scale Analysis of Images Using Phase Description

• Scale analysis and description has over the last years become one of the major research field!The thesis describes a new algorithm which detects in what scale an event appears and also in what scale it disappears. In this way the scale space is subdivided into a number of intervals. Within each scale interval a consistency check is performed to get the certainty of the detection. It will be shown that using a three-dimensional phase representation of image data, it is possible to do both the subdivision and the consistency check in a simple manner. The scale levels between different events are detected when a certain dot product becomes negative and the consistency will be a vector summation between these scales. The specific levels where a split of scale space occurs will, of course, be contextually dependent and there will also be different numbers of levels in different parts of the images. Finally an application of size description of this information will be described.

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