Diff-Reg v2: Diffusion-Based Matching Matrix Estimation for Image Matching and 3D Registration

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Main Authors: Wu, Qianliang, Jiang, Haobo, Ding, Yaqing, Luo, Lei, Li, Jun, Xie, Jin, Wu, Xiaojun, Yang, Jian
Format: Preprint
Published: 2025
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author Wu, Qianliang
Jiang, Haobo
Ding, Yaqing
Luo, Lei
Li, Jun
Xie, Jin
Wu, Xiaojun
Yang, Jian
author_facet Wu, Qianliang
Jiang, Haobo
Ding, Yaqing
Luo, Lei
Li, Jun
Xie, Jin
Wu, Xiaojun
Yang, Jian
contents Establishing reliable correspondences is crucial for all registration tasks, including 2D image registration, 3D point cloud registration, and 2D-3D image-to-point cloud registration. However, these tasks are often complicated by challenges such as scale inconsistencies, symmetry, and large deformations, which can lead to ambiguous matches. Previous feature-based and correspondence-based methods typically rely on geometric or semantic features to generate or polish initial potential correspondences. Some methods typically leverage specific geometric priors, such as topological preservation, to devise diverse and innovative strategies tailored to a given enhancement goal, which cannot be exhaustively enumerated. Additionally, many previous approaches rely on a single-step prediction head, which can struggle with local minima in complex matching scenarios. To address these challenges, we introduce an innovative paradigm that leverages a diffusion model in matrix space for robust matching matrix estimation. Our model treats correspondence estimation as a denoising diffusion process in the matching matrix space, gradually refining the intermediate matching matrix to the optimal one. Specifically, we apply the diffusion model in the doubly stochastic matrix space for 3D-3D and 2D-3D registration tasks. In the 2D image registration task, we deploy the diffusion model in a matrix subspace where dual-softmax projection regularization is applied. For all three registration tasks, we provide adaptive matching matrix embedding implementations tailored to the specific characteristics of each task while maintaining a consistent "match-to-warp" encoding pattern. Furthermore, we adopt a lightweight design for the denoising module. In inference, once points or image features are extracted and fixed, this module performs multi-step denoising predictions through reverse sampling.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04127
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Diff-Reg v2: Diffusion-Based Matching Matrix Estimation for Image Matching and 3D Registration
Wu, Qianliang
Jiang, Haobo
Ding, Yaqing
Luo, Lei
Li, Jun
Xie, Jin
Wu, Xiaojun
Yang, Jian
Computer Vision and Pattern Recognition
Establishing reliable correspondences is crucial for all registration tasks, including 2D image registration, 3D point cloud registration, and 2D-3D image-to-point cloud registration. However, these tasks are often complicated by challenges such as scale inconsistencies, symmetry, and large deformations, which can lead to ambiguous matches. Previous feature-based and correspondence-based methods typically rely on geometric or semantic features to generate or polish initial potential correspondences. Some methods typically leverage specific geometric priors, such as topological preservation, to devise diverse and innovative strategies tailored to a given enhancement goal, which cannot be exhaustively enumerated. Additionally, many previous approaches rely on a single-step prediction head, which can struggle with local minima in complex matching scenarios. To address these challenges, we introduce an innovative paradigm that leverages a diffusion model in matrix space for robust matching matrix estimation. Our model treats correspondence estimation as a denoising diffusion process in the matching matrix space, gradually refining the intermediate matching matrix to the optimal one. Specifically, we apply the diffusion model in the doubly stochastic matrix space for 3D-3D and 2D-3D registration tasks. In the 2D image registration task, we deploy the diffusion model in a matrix subspace where dual-softmax projection regularization is applied. For all three registration tasks, we provide adaptive matching matrix embedding implementations tailored to the specific characteristics of each task while maintaining a consistent "match-to-warp" encoding pattern. Furthermore, we adopt a lightweight design for the denoising module. In inference, once points or image features are extracted and fixed, this module performs multi-step denoising predictions through reverse sampling.
title Diff-Reg v2: Diffusion-Based Matching Matrix Estimation for Image Matching and 3D Registration
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2503.04127