Chapter 38 The Structure Multivector
Michael Felsberg, Gerald Sommer · 2002
The structure multivector is an operator for analysing the local structure of an image. It combines ideas from the structure tensor, steerable filters, and quadrature filters where the advantages of all three approaches are brought into a single method by means of geometric algebra. The proposed operator is efficient to implement and linear up to a final steering operation. In this paper we derive the structure multivector from the Laplace equation, which also introduces a new viewpoint on scale space. A phase approach for intrinsically 2D structures is derived and applications are presented which make use of the 2D part of the new operator.