Pattern Recognition

Volume 3663 of the series Lecture Notes in Computer Science pp 493-500

Energy Tensors: Quadratic, Phase Invariant Image Operators

  • Michael FelsbergAffiliated withComputer Vision Laboratory, Linköping University
  • , Erik JonssonAffiliated withComputer Vision Laboratory, Linköping University

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In this paper we briefly review a not so well known quadratic, phase invariant image processing operator, the energy operator, and describe its tensor-valued generalization, the energy tensor. We present relations to the real-valued and the complex valued energy operators and discuss properties of the three operators. We then focus on the discrete implementation for estimating the tensor based on Teager’s algorithm and frame theory. The kernels of the real-valued and the tensor-valued operators are formally derived. In a simple experiment we compare the energy tensor to other operators for orientation estimation. The paper is concluded with a short outlook to future work.