The image retargeting problem is to find a proper mapping to resize an image to one with a prescribed aspect ratio, which is quite popular these days. In this paper, we propose an efficient and orientation-preserving one-step image retargeting algorithm based on minimizing the harmonic energy, which can well preserve the regions of interest (ROIs) and line structures in the image. We also give some mathematical proofs in the paper to ensure the well-posedness and accuracy of our algorithm.

翻译：图像重定向问题旨在寻找一种合适的映射将图像调整为指定宽高比的尺寸，这一研究在当前颇为流行。本文提出一种基于调和能量最小化的高效且保定向的单步图像重定向算法，该算法能够良好地保留图像中的感兴趣区域（ROIs）及线条结构。同时，本文给出若干数学证明，以确保算法的适定性与精确性。