Using Symbolic Computation to Find Algebraic Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moment Invariants for the Analysis of 2D Flow Fields
IEEE Transactions on Visualization and Computer Graphics
Integral invariants for robust geometry processing
Computer Aided Geometric Design
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For object recognition in tensorfields and in pointclouds, the recognition of features in the object irrespective of their rotation is an important task. Rotationally invariant features exist for 2d scalar fields and for 3d scalar fields as moments of a second order structure tensor. For higher order structure tensors iterative algorithms for computing something similar to an eigenvector-decomposition exist. In this paper, we introduce a method to compute a basis for analytical rotationally invariant moments of tensorfields of --- in principle --- any order and dimension and give an example using up to 4th-order structure tensors in 3d.