通过分层结构优化,让矢量图生成更稳定清晰。
Vector Scaffolding: Inter-Scale Orchestration for Differentiable Image Vectorization

- 采用分层架构,按尺度逐步构建矢量轮廓
- 优化速度提升2.5倍,图像质量提高1.4 dB
- 适合需要可编辑矢量图的设计师和开发人员
可微矢量图形已实现从位图直接优化矢量形状,但现有方法将此视为扁平化优化问题,使数百至数千条随机初始化曲线盲目竞争像素级误差降低。这种无序优化导致拓扑坍塌,宏观结构被内部高频噪声扭曲,生成冗余且不可编辑的“多边形汤”,严重限制实用性。为此,我们提出向量支架(Vector Scaffolding),一种新型分层优化框架,从逐像素匹配转向面向矢量图形的结构化拓扑构建。通过识别面积与边界梯度数学失衡是拓扑坍塌的关键原因,引入内部梯度聚合以稳定多尺度曲线混合的学习动态。在此稳定基础上,采用渐进分层与快速膨胀调度,以高达50倍的学习率逐步密化矢量元素。实验表明,该方法在加速2.5倍的同时,PSNR相比当前最优方法提升最高达1.4 dB。
原文摘要 · Abstract (English)
Differentiable vector graphics have enabled powerful gradient-based optimization of vector primitives directly from raster images. However, existing frameworks formulate this as a flat optimization problem, forcing hundreds to thousands of randomly initialized curves to blindly compete for pixel-level error reduction. This disordered optimization leads to topology collapse, where macroscopic structures are distorted by internal high-frequency noise, resulting in a redundant and uneditable "polygon soup" that limits practical editability. To address this limitation, we propose Vector Scaffolding, a novel hierarchical optimization framework that shifts from flat pixel-matching to structured topological construction tailored for vector graphics. By identifying a key cause of topology collapse as the mathematical imbalance between area and boundary gradients, we introduce Interior Gradient Aggregation to stabilize the learning dynamics of multi-scale curve mixtures. Upon this stabilized landscape, we employ Progressive Stratification and Rapid Inflation Scheduling to progressively densify vector primitives with extremely high learning rates ($\times 50$). Experiments demonstrate that our approach accelerates optimization by $2.5\times$ while simultaneously improving PSNR by up to 1.4 dB over the previous state of the art.
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