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Automatic Image Cropping : A Computational Complexity Study

CVPR 2016 · Image generation › Image restoration · approach: Image harmonization and color transformation · 124 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed minimum-rectangle search instead of brute-force searchProblem 1 attention-based cropping · Attention maps with m rows and n columnscomputational complexity: O(m2n2) -> O(m2n)Helped
Constrain the crop to a fixed aspect ratio and use Algorithm 4Attention-based cropping · Attention maps with m rows and n columnscomputational complexity: O(m2n) -> O(mn)Helped
Use Algorithm 4 instead of Algorithm 2Automatic image cropping · 1000 randomly selected Microsoft COCO imagesaverage running time: 137.8ms -> 4.2msHelped
Use Algorithm 4 instead of Algorithm 2Automatic image cropping · 1000 randomly selected Microsoft COCO images, τ = 0.9average running time: 5.7ms -> 0.9msHelped
Allow up to two non-intersecting crop rectangles instead of oneProblem 3 cropping · Microsoft COCO example image, τ = 0.75cropping area: 0.44 -> 0.22Helped
Fit log(cropping area) as a power function of log(τ)Automatic τ selection · 1000 randomly selected Microsoft COCO imagesPearson correlation: 0.995Helped
Vary τ (ablation)Problem 1 minimum-area cropping · Microsoft COCO imagescrop size and positionMixed
Vary the fixed aspect ratio (ablation)Problem 2 cropping · Microsoft COCO imagesvisual crop qualityNo clear effect
Use the attention model that emphasizes visual importance near the image center (ablation)Problem 3 multiple-rectangle cropping · Microsoft COCO imagesvisual crop qualityHurt

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