FRIDU:功能地图细化与引导图像扩散

IF 2.9 4区 计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Avigail Cohen Rimon, Mirela Ben-Chen, Or Litany
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引用次数: 0

摘要

我们提出了一种新的方法来精炼两个形状之间给定的对应映射。表示为函数映射的对应映射,即基的变换矩阵,可以另外作为二维图像处理。从这个角度来看,我们直接在功能地图的空间中训练图像扩散模型,使其能够在不准确的初始地图的条件下生成准确的地图。训练完全在函数空间中完成,因此效率很高。在推理时,我们在扩散过程中使用与当前功能图对应的点向图作为指导。该指南还可以鼓励不同的功能映射目标,例如与Laplace-Beltrami算子的正交性和交换性。我们表明,我们的方法与最先进的地图细化方法具有竞争力,并且引导扩散模型为功能地图处理提供了有希望的途径。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

FRIDU: Functional Map Refinement with Guided Image Diffusion

FRIDU: Functional Map Refinement with Guided Image Diffusion

We propose a novel approach for refining a given correspondence map between two shapes. A correspondence map represented as a functional map, namely a change of basis matrix, can be additionally treated as a 2D image. With this perspective, we train an image diffusion model directly in the space of functional maps, enabling it to generate accurate maps conditioned on an inaccurate initial map. The training is done purely in the functional space, and thus is highly efficient. At inference time, we use the pointwise map corresponding to the current functional map as guidance during the diffusion process. The guidance can additionally encourage different functional map objectives, such as orthogonality and commutativity with the Laplace-Beltrami operator. We show that our approach is competitive with state-of-the-art methods of map refinement and that guided diffusion models provide a promising pathway to functional map processing.

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来源期刊
Computer Graphics Forum
Computer Graphics Forum 工程技术-计算机:软件工程
CiteScore
5.80
自引率
12.00%
发文量
175
审稿时长
3-6 weeks
期刊介绍: Computer Graphics Forum is the official journal of Eurographics, published in cooperation with Wiley-Blackwell, and is a unique, international source of information for computer graphics professionals interested in graphics developments worldwide. It is now one of the leading journals for researchers, developers and users of computer graphics in both commercial and academic environments. The journal reports on the latest developments in the field throughout the world and covers all aspects of the theory, practice and application of computer graphics.
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