A fast algorithm for the generalized Hough transform (GHT) based on the use of a hierarchical processing scheme and the inverse generalized Hough operation is proposed. By reducing the size of the image portion which need be processed in the proposed fast GHT, not only the computation time but also the number of processing elements for parallel processing can be reduced. The way to apply the pr...

We give a new generalization for Haar functions. The generalization starts from the Walsh-like functions and based on the connection between the original Walsh and Haar systems. We generalize the Haar– Fourier Transform too.

As for the fault diagnosis of rolling bearings under strong background noises, whether feature extraction is comprehensive and accurate critical, especially data-driven methods. To improve comprehensiveness accuracy extraction, a method proposed based on parameter optimization Adaptive Generalized S-Transform (AGST). The AGST used to solve problem incomplete bearing faults. Particle Swarm Brain...

In the present paper, we define generalized Kwang-Wu Chen matrix. Basic properties of this generalization, such as explicit formulas and generating functions are presented. Moreover, focus on a new class Fubini polynomials. Then discuss their relationship with other polynomials Fubini, Bell, Eulerian Frobenius-Euler We have also investigated some basic related to degenerate