Edge detection is a common image-processing technique that has numerous applications. In this article, we propose an algorithm for detecting edges based on the color of a mesh surface. We name the edges the color boundaries. Our approach is based on the data structure of a quad mesh, which makes the data structure of 3D meshes resemble the data structure of images. As a result, image-processing methods can be applied on the 3D meshes. In this article, six classical edge detection filters are implemented on the 3D meshes. The experimental results demonstrate that our method can identify areas of high color gradient on 3D meshes. A comparison with two other methods for detecting color boundaries on 3D meshes reveals that our method is more effective at detecting boundaries. Lastly, we propose two novel applications that utilize the information of color boundaries on a 3D mesh surface.