Vector Scaffolding: Inter-Scale Orchestration for Differentiable Image Vectorization
- URL: http://arxiv.org/abs/2605.11913v1
- Date: Tue, 12 May 2026 10:27:30 GMT
- Title: Vector Scaffolding: Inter-Scale Orchestration for Differentiable Image Vectorization
- Abstract summary: We propose a novel hierarchical optimization framework that shifts from flat pixel-matching to structured topological construction tailored for vector graphics.<n> Experiments demonstrate that our approach accelerates optimization by $2.5times$ while simultaneously improving PSNR by up to 1.4 dB over the previous state of the art.
- Score: 48.98909774916165
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: 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.
Related papers
- CubicSplat: Differentiable Vector Graphics via Error-Bounded Forward Relaxation [41.42805325196858]
We introduce CubicSplat, a new type of vector graphics solver that replaces Bézier closest-point solvers with uniform polyline surrogates whose geometric error is bounded at $O(S-2)$.<n>The resulting static computation graph yields well-conditioned gradients by construction, while a PSN-derived visibility mechanism prunes primitives without auxiliary regularization.
arXiv Detail & Related papers (2026-08-21T07:21:08Z) - Elucidating Subspace Perturbation in Zeroth-Order Optimization: Theory and Practice at Scale [33.38543010618118]
Zeroth-order (ZO) optimization has emerged as a promising alternative to gradient-based backpropagation methods.<n>We show that high dimensionality is the primary bottleneck and introduce the notion of textitsubspace alignment to explain how the subspace perturbations reduce gradient noise and accelerate convergence.<n>We propose an efficient ZO method using block coordinate descent (MeZO-BCD), which perturbs and updates only a subset of parameters at each step.
arXiv Detail & Related papers (2025-01-31T12:46:04Z) - Segmentation-guided Layer-wise Image Vectorization with Gradient Fills [6.037332707968933]
We propose a segmentation-guided vectorization framework to convert images into concise vector graphics with gradient fills.
With the guidance of an embedded gradient-aware segmentation, our approach progressively appends gradient-filled B'ezier paths to the output.
arXiv Detail & Related papers (2024-08-28T12:08:25Z) - Gradient-Variation Online Learning under Generalized Smoothness [56.38427425920781]
gradient-variation online learning aims to achieve regret guarantees that scale with variations in gradients of online functions.
Recent efforts in neural network optimization suggest a generalized smoothness condition, allowing smoothness to correlate with gradient norms.
We provide the applications for fast-rate convergence in games and extended adversarial optimization.
arXiv Detail & Related papers (2024-08-17T02:22:08Z) - Euler's Elastica Based Cartoon-Smooth-Texture Image Decomposition [4.829677240798159]
We propose a novel model for decomposing grayscale images into three distinct components.<n>The structural part represents strong boundaries and regions with strong light-to-dark transitions; the smooth part, capturing soft shadows and shadows; and the oscillatory, characterizing textures and noise.
arXiv Detail & Related papers (2024-07-03T03:42:33Z) - Stable Nonconvex-Nonconcave Training via Linear Interpolation [51.668052890249726]
This paper presents a theoretical analysis of linearahead as a principled method for stabilizing (large-scale) neural network training.
We argue that instabilities in the optimization process are often caused by the nonmonotonicity of the loss landscape and show how linear can help by leveraging the theory of nonexpansive operators.
arXiv Detail & Related papers (2023-10-20T12:45:12Z) - Intermediate Layer Optimization for Inverse Problems using Deep
Generative Models [86.29330440222199]
ILO is a novel optimization algorithm for solving inverse problems with deep generative models.
We empirically show that our approach outperforms state-of-the-art methods introduced in StyleGAN-2 and PULSE for a wide range of inverse problems.
arXiv Detail & Related papers (2021-02-15T06:52:22Z) - Cogradient Descent for Bilinear Optimization [124.45816011848096]
We introduce a Cogradient Descent algorithm (CoGD) to address the bilinear problem.
We solve one variable by considering its coupling relationship with the other, leading to a synchronous gradient descent.
Our algorithm is applied to solve problems with one variable under the sparsity constraint.
arXiv Detail & Related papers (2020-06-16T13:41:54Z) - Towards Better Understanding of Adaptive Gradient Algorithms in
Generative Adversarial Nets [71.05306664267832]
Adaptive algorithms perform gradient updates using the history of gradients and are ubiquitous in training deep neural networks.
In this paper we analyze a variant of OptimisticOA algorithm for nonconcave minmax problems.
Our experiments show that adaptive GAN non-adaptive gradient algorithms can be observed empirically.
arXiv Detail & Related papers (2019-12-26T22:10:10Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.