Low-cost cartoon images and videos often lack the representation of furry effect for animal characters. In order to create image or video with complex furry stylized texture from the original low-cost one, we present a novel furry stylization method, called as cartoon fur texture technique, to allow furry stylized textures to be generated correspondingly for the given image or video. By the method, on the one hand for the image application, the triangle mesh for the ROI(Region of Interest) area in the image can be obtained firstly by analyzing the input image structure, then the fur texel can be mapped onto the mesh and rendered to achieve the realistic furry result. On the other hand, the furry stylized texture synthesis on image can be applied to each image as a basic algorithm for video application, with the key frames of the video calculated firstly and then the furry stylized texture in each key frame synthesized, to generate the cartoon fur texture. In our experiments, in order to calculate the feature matching of ROI along with the timeline conveniently, the SIFT(scale invariant feature transform) algorithm is applied. Besides, we use the Ray Marching technique on GPU to implement the volume rendering of texel in a much improved speed. Experimental results show that the presented method can be used to successfully synthesize the furry stylized textures for source images and videos, with realistic furry effect well achieved.