Parametric Estimation of Affine Transformations: An Exact Linear Solution
Journal of Mathematical Imaging and Vision
Algorithms for fast computation of Zernike moments and their numerical stability
Image and Vision Computing
A fast algorithm for computing moments of gray images based on NAM and extended shading approach
Frontiers of Computer Science in China
Error Analysis in the Computation of Orthogonal Rotation Invariant Moments
Journal of Mathematical Imaging and Vision
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Image moments have been extensively used as feature descriptors. However, the quantization error introduced in discrete signals presents problems, especially when dealing with small-size images. This results in the fact that the invariant properties of moments are compromised. In this paper, we present a technique suitable for the calculation of moments from a continuous signal, derived by piecewise polynomial interpolation of the corresponding discrete one. The computed moments exhibit significantly increased accuracy while requiring trivial computational effort. Zernike moments are then computed using the proposed scheme and are shown to display increased stability to geometrical transformations.