Image shrinkage is the process of reducing image resolution to adapt to display screens with different aspect ratios and different sizes. Its key is to highlight important areas, keep continuity and avoid twists. This paper presents a novel image shrinking method. First, this paper iteratively shrinks the quad mesh covering the original image to the target size under the constraint of energy distortion. Then, this paper obtains the arget image by interpolating and mapping the target mesh. The energy distortion function reflects the effects of highlighting important regions, preserving structure and avoiding twists. Less distortion owns better result. Under the constraint of energy distortion, every sub quad of mesh shrinks non-uniformly. Quads with more importance shrink less. In order to accurately calculate quad’s importance, this paper proposes a new method named as Hot-Target map to calculate image importance according to image saliency and edges. Finally, this paper avoids distortion by preserving image linear edges named as featured straight edge. To increase efficiency and reduce complexity, the method is carried out by solving linear equations. Experimental results verify its effectiveness.