Private Set Intersection (PSI) is an important solution for privacy information sharing. A fair multi-party PSI protocol based on cloud server was proposed for the unfairness caused by the existing protocols in which the parties involved do not have simultaneous access to the calculation results. Firstly, the storage of a sub-share of the private information in Garbled Bloom Filter (GBF) was accomplished by using hash mapping. Secondly, in order to avoid the leakage of the index value of each party’s set element during the interaction, combined with Oblivious Transfer (OT) technique, the share replacement of the stored information was realized. Finally, the bit-by-bit calculation was performed by the cloud server, and the results were returned to each party at the same time to ensure the fairness of each party’s access to the results. The correctness and security analysis of the protocol shows that the proposed protocol can achieve the fairness of the parties in obtaining the intersection results, and can resist the collusion of parties with the cloud server. The performance analysis shows that both of the computational complexity and the communication complexity of the proposed protocol are independent of the total number of elements contained in the set of participants. Under the same conditions, compared with Multi-party PSI protocol (MPSI), practical multiparty maliciously-secure PSI protocol (PSImple) and Private Intersection Sum algorithm (PI-Sum), the proposed protocol has less storage overhead, communication overhead and running time.
Aiming at the problems of precise parking, punctuality, comfort and energy consumption in the process of Automatic Train Operation (ATO), an optimization method of ATO speed curve based on GAPSO (Genetic Algorithm and Particle Swarm Optimization) algorithm was proposed. Firstly, a multi-objective optimization model of train ATO operation was established, the train passing through the neutral zone with power cutoff and coasting was included in the control strategy, and the operation control strategy was analyzed. Secondly, Particle Swarm Optimization (PSO) algorithm was improved, the nonlinear dynamic inertia weight and the improved acceleration coefficient were adopted, and the genetic operator was integrated into it to form a brand-new GAPSO algorithm, and the superiority of GAPSO algorithm in global search and local search ability as well as convergence speed was verified. Finally, GAPSO algorithm was used to optimize the operating mode changing points, and a set of operating mode changing point speeds satisfying multi-objective optimization was obtained, thereby obtaining the optimal target speed curve. Simulation experimental results show that under the premise that the overall running time meets the requirements of punctuality, the optimization method can make the energy consumption reduced by 13.29%, the comfort increased by 26.62%, and the parking error reduced by 21.62%. Therefore, the optimized train target speed curve can meet the multi-objective requirements, and this method provides a feasible solution for train ATO multi-objective optimization.
Compressed sensing mainly contains random projection and reconstruction. Because of lower convergence speed of iterative shrinkage algorithm and the lacking of direction of traditional 2-dimensional wavelet transform, random projection was implemented by using Permute Discrete Cosine Transform (PDCT), and the gradient projection was used for reconstruction. Based on the simplification of computation complexity, the transformation coefficients in the dual-tree complex wavelet domain were improved by iteration. Finally, the reconstructed image was obtained by the inverse transform. In the experiments, the reconstruction results of DT CWT (Dual-Tree Complex Wavelet Transform) and bi-orthogonal wavelet were compared with the same reconstruction algorithm, and the former is better than the latter in image detail and smoothness with higher Peak Signal-to-Noise Ratio (PSNR) of 1.5 dB. In the same sparse domain, gradient projection converges faster than iterative shrinkage algorithm. And in the same sparse domain and random projection, PDCT has a slightly higher PSNR than the structural random matrix.
To improve the speed of image reconstruction based on fan-beam Filtered Back Projection (FBP), a new optimized fast reconstruction method was proposed for polar back-projection algorithm. According to the symmetry feature of trigonometric function, the preprocessing projection datum were back-projected on the polar coordinates at the same time. During the back-projection data coordinate transformation, the computation of bilinear interpolation could be reduced by using the symmetry of the pixel position parameters. The experimental result shows that, compared with the traditional convolution back-projection algorithm, the speed of reconstruction can be improved more than eight times by the proposed method without sacrificing image quality. The new method is also applicable to 3D cone-beam reconstruction, and can be extended to multilayer spiral three-dimensional reconstruction.