Affine moment invariants

Keywords— Tuberculosis bacilli detection, tissue sections, affine moment invariants, artificial neural network. 

The present study proposed to extract six affine moment invariants for feature representation. These features are invariant under rotation, scale and translation, thus useful to represent the bacilli. Detailed discussion of affine moment invariants can be found in [11]. 

In this paper, an automated TB bacilli detection in ZN-stained tissue slide images using affine moment invariants... 

Because moments are extensive, non-local, objects, their use in quantizing the energy and wavefunction will implicitly be of a multiscale nature, proceeding from large through small scales, as more moments are used. In addition, since moments transform linearly under affine maps, any moment based analysis will incorporate some degree of space-scale invariance, which can be an efficient feature for quantizing systems. 

The first and second affine invariant moments are defined in Equation 7 and 8, respectively [12]. 

---