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流体符号距离函数:通过可微基元实现超轻量级且可编辑的隐式形状表示

Fluid-SDF: Ultra-Lightweight and Editable Implicit Shape Representation via Differentiable Primitives

Pradyumna Sripada, Chinmay Nadgir, Ksheer Agrawal, Krishna Kanth Kodanganti

arXiv 2607.18646首次发表:更新:

发表机构

University of California, San Diego (UCSD)(加利福尼亚大学圣地亚哥分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究针对隐式神经表示在形状建模上的问题,提出Fluid-SDF框架,用可微基元建模,参数少,能抵抗噪声,可直接编辑形状特征,无需重新训练,适合移动AI等资源受限环境。

AI 中文摘要

隐式神经表示(INRs)已成为连续二维形状建模的标准,但存在黑箱不可编辑、易受噪声影响以及参数数量多等问题,严重阻碍在边缘设备上的部署。我们引入了流体符号距离函数(Fluid-SDF),这是一个高度压缩的、可微的构造实体几何(CSG)框架,它使用通过平滑最小函数混合的显式几何基元对形状进行建模。通过用参数化基元引擎取代传统多层感知器(MLP),Fluid-SDF使用严格少于100个参数重建复杂的非凸拓扑,在交并比(mIoU)上与标准神经基线相当或更优。此外,它能抵抗高频数据集噪声,且其显式参数空间允许对局部和全局形状特征进行直接、零样本用户编辑,无需重新训练。通过完全绕过昂贵的设备上梯度更新,它特别适用于移动人工智能、增强现实和资源受限的嵌入式环境。

英文摘要

Implicit Neural Representations (INRs) have become the standard for continuous 2D shape modeling, but they suffer from black-box uneditability, vulnerability to noise, and high parameter counts that severely hinder deployment on edge devices. We introduce Fluid-SDF, a highly compressed, differentiable Constructive Solid Geometry (CSG) framework that models shapes using explicit geometric primitives blended via a smooth minimum function. By replacing traditional multi-layer perceptrons (MLPs) with a parameterized primitive engine, Fluid-SDF reconstructs complex, non-convex topologies using strictly under 100 parameters, achieving comparable or superior intersection-over-union (mIoU) to standard neural baselines. Furthermore, we demonstrate that Fluid-SDF acts as a powerful geometric prior, inherently resisting high-frequency dataset noise where capacity-matched neural networks catastrophically overfit. Finally, unlike standard INRs, Fluid-SDF's explicit parameter space allows for direct, zero-shot user editing of local and global shape features without retraining. By bypassing expensive on-device gradient updates entirely, Fluid-SDF is uniquely suited for mobile AI, augmented reality, and resource-constrained embedded environments

Comments6 pages, 5 figures

论文原文

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