Curve matching plays an important role in pattern recognition, computer vision and image understanding. In several past years, this problem has been studied mainly based on the curve contour, while only little progress has been made using the texture feature of the curve's neighborhood. This paper develops a novel texture-based curve matching method called IOCD, which consists of three steps: (1) Curve support region (CSR) without assigning a dominant orientation is first determined; (2) CSR is equally partitioned into several order bins according to the overall intensity order; (3) The feature vector is computed based on the local intensity order mapping. Experiments prove that the proposed IOCD performs robust to image rotation, viewpoint change, illumination change, blur, noise and JPEG compress. The application of image mosaic further identifies IOCD can achieve good matching performance.