An iris recognition algorithm based on 1D spatial domain signatures is improved by extending template data from mean vectors to 2D histogram information. EER and shape of the FAR curve is clearly improved as compared to the original algorithm, while rotation invariance and the low computational demand is maintained. The employment of the proposed scheme remains limited to the similarity ranking...

Object detection and tracking require robustness to camera movements. For this purpose, matching between two images by finding points of correspondence has been recently achieved by using local features. However, the invariance of conventional local features such as SIFT [4] is limited to only scale and rotation changes; they are sensitive to camera movements like tilting. In this talk, we woul...

1. A doomed-but-plausible trial calculation 2. Matrix exponentiation 3. Rotation-invariant derivatives on R 4. Instrinsic derivatives 5. Aside: GLn(R)-invariance of the Euler operator 6. ∑ i<j X 2 ij in coordinates on R 7. X` commutes with ∑ i<j X 2 ij 8. Stabilization of Hd by Xγ 9. Integration by parts for Xγ 10. Sup norms of derivatives of harmonic polynomials 11. Termwise differentiation of...

In these notes, I discuss the relation of relativistic invariance to quantum mechanics. First, I discuss the rotation group and its representations. Then I outline the structure of Lorentz group and build up the finite dimensional representations of the Lorentz Group. Finally, I add the space and time translations to get the Poincaré group. This allows us to find how to treat the spin of partic...

We derive several measures of 3D shape directly from the velocity field generated by a rigid curved surface patch under perspective projection. We use invariance under rotation of the image plane to decompose the velocity field in differential invariants. From a combination of these invariants we construct an approximation to the absolute value of the shape index, to the curvedness and to the p...

This paper presents a comparative study of watermarking schemes. The embedding of watermark is performed after the image normalization. By normalization process the normalized image achieves invariance properties against geometric attacks which include rotation, scaling and translation of an image. Watermarking is done using five methods DCT Zigzag, DCT blocks, DWT, Zernike transform, SVD-DCT. ...

Selection rules governing the disintegration of a particle into two photons are derived from the general principle of invariance under rotation and inversion. The polarization state of the photons is completely fixed by the selection rules for initial particles with spin less than 2. These results which are independent of any specific assumption about the interactions may possibly oGer a method...

A generalized approach for pattern recognition using spatial filters with reduced tolerance requirements was described in some recent publications. This approach leads to various possible implementations such as the composite matched filter, the circular harmonic matched filter, or the composite circular harmonic matched filter. The present work describes new examples leading to very high selec...

We find the Noether point symmetries for non–relativistic two-dimensional charged particle motion. These symmetries are composed of a quasi–invariance transformation, a time–dependent rotation and a time–dependent spatial translation. The associated electromagnetic field satisfy a system of first–order linear partial differential equations. This system is solved exactly, yielding three classes ...