A novel 2D image analysis technique is demonstrated. Using the digitized images of articular cartilage from transmission electron microscopy (TEM), this technique performs a localized 'vector' analysis at each region that is large enough to include several or tens of collagen fibrils but small enough to provide a fine resolution for the whole tissue. For each small and localized region, the morphology of the collagen fibrils can be characterized by three quantities essential to the nature of the tissue: the concentration of the fibrils, the overall orientation of the fibrils, and the anisotropy of the fibrils. This technique is capable of providing new insight to the existing technology by assigning quantitative attributes to the qualitative graphics. The assigned quantities are sensitive to the fine structure of the collagen matrix and meaningful in the architectural nature of the collagen matrix. These quantities could provide a critical linkage between the ultrastructure of the tissue and the macroscopic behaviours of the material. In addition, coarse-graining the microscopic resolution of EM without compromising the essential features of the tissue's structure provides a direct view of the tissue's morphology and permits direct correlations and comparisons among interdisciplinary techniques.