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An Adaptive Triangular Partition Algorithm for Digital Images

机译:数字图像的自适应三角分割算法

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摘要

The partition algorithm as a digital image processing technique is significant to many applications, such as data encryption, image denoising, and 3-D reconstruction. In order to achieve well partition that can availably reduce the distortion phenomenon, a novel approach named image adaptive triangular partition (IATP) is proposed, which considers the grayscale distribution of the image and removes the shared edges between the adjacent triangles in the partition mesh. The least-squares method is used to fit the sampled position-associated gray value of the image to determine whether further partition should be performed, that is, if the sum of squared residuals is bigger than the preselected control value, the current area will be divided into four separated sub-triangles by using the self-similar method, and then preparing the next fitting on each of them in recursion; otherwise, the terminal operation is reached. When the recursive partition of the image is done, the triangular partition mesh with the quaternary notations is obtained. The experimental results demonstrate that the performance of the IATP algorithm proposed in this paper is better than the existing state-of-the-art nonuniform partitions, and it solves the redundant coding problem and reduces the image quality losses. In addition, two applications-image steganography and information encryption-are selected to verify that the proposed algorithm has good feasibility and robustness.
机译:分区算法作为一种数字图像处理技术,对许多应用具有重要意义,例如数据加密,图像去噪和3-D重建。为了实现可以有效减少畸变现象的良好分割,提出了一种新的图像自适应三角分割(IATP)方法,该方法考虑了图像的灰度分布,并去除了分割网格中相邻三角形之间的共享边。最小二乘法用于拟合图像的与位置相关的采样灰度值,以确定是否应进一步分割,即,如果残差平方和大于预选的控制值,则当前区域为通过使用自相似方法将其划分为四个单独的子三角形,然后递归地为每个子三角形准备下一个拟合;否则,将达到终端操作。当完成图像的递归划分时,获得具有四元符号的三角形划分网格。实验结果表明,本文提出的IATP算法的性能优于现有的最新非均匀分区,解决了冗余编码问题并减少了图像质量损失。另外,还选择了图像隐写术和信息加密这两个应用来验证该算法具有良好的可行性和鲁棒性。

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