The traditional patch-based image completion algorithms circularly search the most similar patches in the whole image, and are easily affected by confidence factor in the process of structure propagation. As a result, these algorithms have poor efficiency and need a lot of time for the big computation. To overcome these shortages, a fast image completion algorithm based on randomized correspondence was proposed. It adopted a randomized correspondence algorithm to search the sample regions, which have similar structure and texture with the target region, so as to reduce the search space. Meanwhile, the method of computing filling priorities based on confidence factor and edge information was optimized to enhance the correctness of structure propagation. In addition, the method of calculating the most similar patches was improved. The experimental results show that, compared with the traditional algorithms, the proposed approach can obtain 5-10 times speed-up in repair rate, and performs better in image completion.
Aiming to the practical problem that it is difficult to estimate the Richards model parameters, the parameter estimation problem of the Richards model was formulated as a multi-dimensional unconstrained function optimization problem. Combined with the actual growth concentration of glutamic acid, in Matlab 2012b environment, the fitness function was established by Particle Swarm Optimization (PSO) algorithm, four parameters of Richards model were estimated by the least square method, and the growth curve and the optimum curve were established. To further verify the effectiveness of the algorithm, the PSO algorithm was compared with traditional parameter estimation method, such as four point method and Genetic Algorithm (GA) method, the related index and the residual standard deviation were used as the evaluation index. The results show that, the PSO algorithm has better fitting effect for Richards model and good applicability for parameter estimation.