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Free keywords:
Gradient structure tensor; Knutsson mapping; Continuous orientation representation; Local structure
Abstract:
In this paper, we present new insights in methods to solve the orientation representation problem in arbitrary dimensions. The gradient structure tensor is one of the most used descriptors for local structure in multi-dimensional images. We will relate its properties to the double angle method (2D) and the Knutsson mapping. We present a general scheme to reduce the dimensionality of the Knutsson mapping and derive some properties of these reduced mappings.