1. The results show that isoperimetric algorithm can be applied in both still image and image video.

2. Isoperimetric number is one of the crucial parameters of interconnection networks closely related to the connectivity and parameters, such as bisection width of graphs.

3. The concrete element was simulated by quadrilateral isoperimetric element. And the steels were distributed to concrete.

4. Based on FEM theory, a program of isoperimetric quadrilateral element is made using MATLAB software.

5. One algorithm, isoperimetric algorithm based on graph theory is applied and researched on image segmentation.

6. He also proposed and discussed the problem of isoperimetric figures.

6. try its best to gather and create good sentences.

7. Then, isoperimetric algorithm is used to segment image video by combined with operation of morphology. Based on several experiments, they are researched.

8. Isoperimetric algorithm does well in image segmentation, and it is a fast graph partitioning method.

9. The isoperimetric problem is one of the basic differential geometric problems.

10. Firstly, isoperimetric algorithm is applied in still image segmentation, and the result is compared with two methods based on edge detection and region detection.

11. The internal forces in tensile membrane structures were analyzed using geometrical nonlinear finite element theory using curved quadrilateral isoperimetric 8 node elements.

12. At the second step, boundary can be obtain in each rectangular by use the Isoperimetric cut to divided each rectangular into two parts.

13. The circle is the shape with the largest area for a given length of perimeter. (See Isoperimetric inequality .

14. Based on the geometrical nonlinear finite element (GNFE) theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.

15. The main work carried out goes as following:(1) The stiffness matrix of the 8-noded isoperimetric brick element with equivalent reinforcement membrane is carefully deduced.

16. In this paper, a novel thresholding method based on human visual perception and isoperimetric theory is presented.

17. Based on geometrical nonlinear finite element theory, a curved quadrilateral isoperimetric element with 8 nodes for initial form analysis of tensile membrane structures is presented.