In view of the ignition characteristics of PCNN, when the traditional PCNN model is used in image segmentation, the final segmentation images are two valued images. Although the two value image has the advantages of easy identification and convenient storage, but for the following processing of image recognition, image compression and feature extraction, the singleness of two valued image can not meet the needs of people. Therefore, based on the previous work, the maximum Shannon entropy, maximum gray entropy and maximum variance ratio are used to improve the traditional PCNN. The final output of the model has three patterns: color, gray and two values, which is convenient for the subsequent processing of images. Experimental results show that the proposed algorithm can achieve the effective segmentation of color images, and the segmentation effect is significantly better than the traditional algorithm.

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The purpose of this article is to develop a new system for the construction of curves and surfaces. Making the new system not only has excellent properties of the orthodox Bézier and the B-spline method but also has practical properties such as variation diminishing and local shape adjustability. First, a new set of the quasi-cubic rational (QCR) system with two parameters is given, which is verified on an optimal normalized totally positive system (B-system). The related QCR Bézier curve is defined, and the de Casteljau-type algorithm are given. Next, a group of non-uniform QCR B-spline system is shown based on the linear combination of the proposed QCR system, therelative properties of the B-spline system are analyzed. Then, the definition and properties of nonuniform QCR B-spline curves are discussed in detail. Finally, the proposed QCR system is extended to the triangular domain, which is called the quasi-cubic rational Bernstein-Bézier (QCR-BB) system, and its related definition and properties of patches are given at length. The experimental image obtained by using MATLAB shows that the newly constructed system has excellent properties suchas symmetry, totally positive, and C2 continuity, and its corresponding curve has the properties of local shape adjustability and C2 continuity. These extended systems in the extended triangulardomain have symmetry, linear independence, etc. Hence, the methods in this article are suitable for the modeling design of complex curves and surfaces.