2024/02/28 by Chengyang Liu, Michael K. Ng, Liu, Chengyang +1 · 1 citation
Computer Science · Engineering · #Advanced Vision and Imaging #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Graphics (cs.GR) #Image and Video Stabilization #Numerical Analysis (math.NA) #Robotics and Sensor-Based Localization
paper · pdf · doi:10.48550/arxiv.2402.18074
openalex publication_date 2024/02/28 · openalex created_date 2024/03/05 · openalex updated_date 2026/08/03
Image retargeting, which resizes images to one with a prescribed aspect ratio by determining an optimal warping map, has gained substantial interest in imaging science. Despite significant advances, existing methods often fail to ensure bijective warping maps essential for preserving visual information. This paper introduces a novel bijective image retargeting model through conformal energy minimization of the deformation field. The proposed model establishes mathematical rigor by proving the well-posedness for the optimal warping map in both continuous and discrete settings and showing that the discrete solutions converge to their continuous counterpart under mesh refinement. Numerical experiments corroborate the model's efficacy and the convergence of discrete solutions during progressive mesh subdivision processes, validating both theoretical guarantees and practical performance.