In this paper, three methods for continuous visualization of mesoscale eddies are proposed, which are based on the technique of 2D streamline visualization and technique of mesoscale eddies identification: the method of eddy visualization based on OW parameters, the method of eddy visualization based on grid template and the method of eddy visualization method based on vector template. These three methods are respectively based on Okubo-Weiss algorithm, Faghmous algorithm and Liu's algorithm for eddy recognition, and the visualization results of the flow field are filled into the eddy to obtain better visualization effect. In the process of visualization, we introduce the transfer function to conduct real-time interaction between the color and transparency of the streamline in the eddy, which can control the display effect of setting the velocity, vorticity, OW parameters and other information by setting the color and position of the Key point on the control interface. In addition, we also compared the advantages and disadvantages of the three methods in terms of performance and display effect. In terms of performance, the performance is from high to low: the method of eddy visualization based on OW parameters, the method of eddy visualization based on grid template and the method of eddy visualization method based on vector template. In terms of display effect, the method of eddy visualization based on OW parameters is the worst among the three, with more chaotic short lines and smaller eddy boundary, which is limited to the core region of the eddy. The method of eddy visualization based on grid template has better display effect than the first method, with fewer messy short lines and relatively complete eddy. However, due to the lack of high resolution of data, the eddy boundary appears jagged after being put up for more than one time. The method of eddy visualization method based on vector template has the best display effect. The eddy is complete and full. At the same time, since the eddy boundary is reconstructed and vectorized, the eddy boundary is smoother. Compared with the traditional method of continuous visualization of eddies with long time series, these three methods provide a beautiful, dynamic and more informative visualization method. At the same time, they can become a practical tool for researchers to study eddies due to the addition of transfer function.