EDBT 2026 Demo / reviewers in the wild / expert
Ruqi Huang
dblp:161/7979
· DBLP profile ↗
24ranked-venue papers
5as first author
18since 2021 · last 2026
0000-0001-5942-3671ORCID · corroborated
Domains — the database's venue-derived domains; a paper can count in several
Graphics, computer vision, multimedia, augmented reality and games · 19 · 5 first-author · 13 since 2021Artificial intelligence and machine learning · 15 · 1 first-author · 14 since 2021Systems, architecture and hardware · 1 · 1 since 2021Human-computer interaction and ubiquitous computing · 1 · 1 since 2021
| Year | Publication | Venue | Position |
|---|---|---|---|
| 2026 | Improving Multi-View Reconstruction via Texture-Guided Gaussian-Mesh Joint OptimizationabstractReconstructing real-world objects from multi-view images is essential for applications in 3D editing, AR/VR, and digital content creation. Existing methods typically prioritize either geometric accuracy (Multi-View Stereo) or photorealistic rendering (Novel View Synthesis), often decoupling geometry and appearance optimization, which hinders downstream editing tasks. This paper advocates an unified treatment on geometry and appearance optimization for seamless Gaussian-mesh joint optimization. More specifically, we propose a novel framework that simultaneously optimizes mesh geometry (vertex positions and faces) and vertex colors via Gaussian-guided mesh differentiable rendering, leveraging photometric consistency from input images and geometric regularization from normal and depth maps. The obtained high-quality 3D reconstruction can be further exploit in down-stream editing tasks, such as relighting and shape deformation. Our code will be released in https://github.com/zhejia01/TexGuided-GS2Mesh Zhejia Cai, Puhua Jiang, Shiwei Mao, Hongkun Cao, Ruqi Huang |
3DV | 5 |
| 2026 | SIFThinker: Spatially-Aware Image Focus for Visual ReasoningabstractCurrent multimodal large language models (MLLMs) still face significant challenges in complex visual tasks (e.g., spatial understanding, fine-grained perception). Prior methods have tried to incorporate visual reasoning, however, they fail to leverage attention correction with spatial cues to iteratively refine their focus on prompt-relevant regions. In this paper, we introduce SIFThinker, a spatially-aware “think-with-images” framework that mimics human visual perception. Specifically, SIFThinker enables attention correcting and image region focusing by interleaving depth-enhanced bounding boxes and natural language. Our contributions are twofold: First, we introduce a reverse-expansion-forward-inference strategy that facilitates the generation of interleaved image-text chains of thought for process-level supervision, which in turn leads to the construction of the SIF-50K dataset. Besides, we propose GRPO-SIF, a reinforced training paradigm that integrates depth-informed visual grounding into a unified reasoning pipeline, teaching the model to dynamically correct and focus on prompt-relevant regions. Extensive experiments demonstrate that SIFThinker outperforms state-of-the-art methods in spatial understanding and fine-grained visual perception, while maintaining strong general capabilities, highlighting the effectiveness of our method. Zhangquan Chen, Ruihui Zhao, Chuwei Luo, Yangyang Kang, Ruqi Huang |
AAAI | 7 |
| 2025 | DV-Matcher: Deformation-based Non-rigid Point Cloud Matching Guided by Pre-trained Visual FeaturesabstractIn this paper, we present DV-Matcher, a novel learning-based framework for estimating dense correspondences between non-rigidly deformable point clouds. Learning directly from unstructured point clouds without meshing or manual labelling, our framework delivers high-quality dense correspondences, which is of significant practical utility in point cloud processing. Our key contributions are twofold: First, we propose a scheme to inject prior knowledge from pre-trained vision models into geometric feature learning, which effectively complements the local nature of geometric features with global and semantic information; Second, we propose a novel deformation-based module to promote the extrinsic alignment induced by the learned correspondences, which effectively enhances the feature learning. Experimental results show that our method achieves state-of-the-art results in matching non-rigid point clouds in both near-isometric and heterogeneous shape collection as well as more realistic partial and noisy data. Our code is available at https://github.com/rqhuang88/DV-Matcher. Zhangquan Chen, Puhua Jiang, Ruqi Huang |
CVPR | 3 |
| 2025 | DRiVE: Diffusion-based Rigging Empowers Generation of Versatile and Expressive CharactersabstractRecent advances in generative models have enabled high-quality 3D character reconstruction from multi-modal. However, animating these generated characters remains a challenging task, especially for complex elements like garments and hair, due to the lack of large-scale datasets and effective rigging methods. To address this gap, we curate AnimeRig, a large-scale dataset with detailed skeleton and skinning annotations. Building upon this, we propose DRiVE, a novel framework for generating and rigging 3D human characters with intricate structures. Unlike existing methods, DRiVE utilizes a 3D Gaussian representation, facilitating efficient animation and high-quality rendering. We further introduce GSDiff, a 3D Gaussian-based diffusion module that predicts joint positions as spatial distributions, overcoming the limitations of regression-based approaches. Extensive experiments demonstrate that DRiVE achieves precise rigging results, enabling realistic dynamics for clothing and hair, and surpassing previous methods in both quality and versatility. Code, dataset and visualization results are available at https://DRiVEAvatar.github.io/. Junting Dong, Yurun Chen 0001, Shiwei Mao, Puhua Jiang, Jingbo Wang 0003, Bo Dai 0002, Ruqi Huang |
CVPR | 10 |
| 2025 | ARMO: Autoregressive Rigging for Multi-Category ObjectsabstractRecent advancements in large-scale generative models have significantly improved the quality and diversity of 3D shape generation. However, most existing methods focus primarily on generating static 3D models, overlooking the potentially dynamic nature of certain shapes, such as humanoids, animals, and insects. To address this gap, we focus on rigging, a fundamental task in animation that establishes skeletal structures and skinning for 3D models. In this paper, we introduce OmniRig, the first large-scale rigging dataset, comprising 79,499 meshes with detailed skeleton and skinning information. Unlike traditional benchmarks that rely on predefined standard poses (e.g., A-pose, T-pose), our dataset embraces diverse shape categories, styles, and poses. Leveraging this rich dataset, we propose ARMO, a novel rigging framework that utilizes an autoregressive model to predict both joint positions and connectivity relationships in a unified manner. By treating the skeletal structure as a complete graph and discretizing it into tokens, we encode the joints using an auto-encoder to obtain a latent embedding and an autoregressive model to predict the tokens. A mesh-conditioned latent diffusion model is used to predict the latent embedding for conditional skeleton generation. Our method addresses the limitations of regression-based approaches, which often suffer from error accumulation and suboptimal connectivity estimation. Through extensive experiments on the OmniRig dataset, our approach achieves state-of-the-art performance in skeleton prediction, demonstrating improved generalization across diverse object categories. The code and dataset will be made public for academic use upon acceptance. Shiwei Mao, Keyi Chen 0013, Yurun Chen 0001, Shunlin Lu, Jingbo Wang 0003, Junting Dong, Ruqi Huang |
ICCV | 8 |
| 2025 | DISCOVERSE: Efficient Robot Simulation in Complex High-Fidelity EnvironmentsabstractWe present Discoverse, the first unified, modular, open-source 3DGS-based simulation framework for Real2Sim2Real robot learning. It features a holistic Real2Sim pipeline that synthesizes hyper-realistic geometry and appearance of complex real-world scenarios, paving the way for analyzing and bridging the Sim2Real gap. Powered by Gaussian Splatting and MuJoCo, Discoverse enables massively parallel simulation of multiple sensor modalities and accurate physics, with inclusive supports for existing 3D assets, robot models, and ROS plugins, empowering large-scale robot learning and complex robotic benchmarks. Through extensive experiments on imitation learning, Dis coverse demonstrates state-of-the-art zero-shot Sim2Real transfer performance compared to existing simulators. For code and demos: https://air-discoverse.github.io/. Yufei Jia, Junzhe Wu, Yupei Zeng, Haonan Lin, Haizhou Ge, Weibin Gu, Kairui Ding, Zike Yan, Yunjie Cheng, Chuxuan Li, Wei Sui, Guanzhong Tian, Ruqi Huang, Guyue Zhou |
IROS | 19 |
| 2025 | Beyond Talking - Generating Holistic 3D Human Dyadic Motion for Communication
Chao Xu 0023, Yang Liu 0356, Baigui Sun, Ruqi Huang |
Int. J. Comput. Vis. | 6 |
| 2024 | XScale- NVS: Cross-Scale Novel View Synthesis with Hash Featurized ManifoldabstractWe propose XScale-NVS for high-fidelity cross-scale novel view synthesis of real-world large-scale scenes. Ex-isting representations based on explicit surface suffer from discretization resolution or$UV$distortion, while implicit volumetric representations lack scalability for large scenes due to the dispersed weight distribution and surface ambi-guity. In light of the above challenges, we introduce hash featurized manifold, a novel hash-based featurization cou-pled with a deferred neural rendering framework. This approach fully unlocks the expressivity of the representation by explicitly concentrating the hash entries on the$2D$manifold, thus effectively representing highly detailed contents independent of the discretization resolution. We also in-troduce a novel dataset, namely$Gig{a}NVS$, to benchmark cross-scale, high-resolution novel view synthesis of real-world large-scale scenes. Our method significantly outper-forms competing baselines on various real-world scenes, yielding an average LPIPS that is$\sim$40% lower than prior state-of-the-art on the challenging$Gig{a}NVS$benchmark. Please see our project page at: xscalenvs.github.io. Jinzhi Zhang, Ruqi Huang |
CVPR | 4 |
| 2024 | OmniSeg3D: Omniversal 3D Segmentation via Hierarchical Contrastive LearningabstractTowards holistic understanding of 3D scenes, a general 3D segmentation method is needed that can segment diverse objects without restrictions on object quantity or categories, while also reflecting the inherent hierarchical structure. To achieve this, we propose OmniSeg3D, an omniversal segmentation method aims for segmenting anything in 3D all at once. The key insight is to lift multi-view inconsistent 2D segmentations into a consistent 3D feature field through a hierarchical contrastive learning framework, which is accomplished by two steps. Firstly, we design a novel hierarchical representation based on category-agnostic 2D segmentations to model the multi-level relationship among pixels. Secondly, image features rendered from the 3D feature field are clustered at different levels, which can be further drawn closer or pushed apart according to the hierarchical relationship between different levels. In tackling the challenges posed by inconsistent 2D segmentations, this framework yields a global consistent 3D feature field, which further enables hierarchical segmentation, multi-object selection, and global discretization. Extensive experiments demonstrate the effectiveness of our method on high-quality 3D segmentation and accurate hierarchical structure understanding. A graphical user interface further facilitates flexible interaction for omniversal 3D segmentation. Haiyang Ying, Yixuan Yin 0001, Jinzhi Zhang, Tao Yu 0007, Ruqi Huang, Lu Fang 0001 |
CVPR | 6 |
| 2024 | DynamicTrack: Advancing Gigapixel Tracking in Crowded ScenesabstractTracking in gigapixel scenarios holds numerous potential applications in video surveillance and pedestrian analysis. Existing algorithms attempt to perform tracking in crowded scenes by utilizing multiple cameras or group relationships. However, their performance significantly degrades when confronted with complex interaction and occlusion inherent in gigapixel images. In this paper, we introduce DynamicTrack, a dynamic tracking framework designed to address gigapixel tracking challenges in crowded scenes. In particular, we propose a dynamic detector that utilizes contrastive learning to jointly detect the head and body of pedestrians. Building upon this, we design a dynamic association algorithm that effectively utilizes head and body information for matching purposes. Extensive experiments show that our tracker achieves state-of-the-art performance on widely used tracking benchmarks specifically designed for gigapixel crowded scenes. Yunqi Zhao, Zheng Cao 0005, Ruqi Huang, Lu Fang 0001 |
ICME | 5 |
| 2024 | SRIF: Semantic Shape Registration Empowered by Diffusion-based Image Morphing and Flow Estimation
Puhua Jiang, Shiwei Mao, Yurun Chen 0001, Ruqi Huang |
SIGGRAPH Asia | 6 |
| 2024 | GiganticNVS: Gigapixel Large-Scale Neural Rendering With Implicit Meta-Deformed ManifoldabstractThe rapid advances of high-performance sensation empowered gigapixel-level imaging/videography for large-scale scenes, yet the abundant details in gigapixel images were rarely valued in 3d reconstruction solutions. Bridging the gap between the sensation capacity and that of reconstruction requires to attack the large-baseline challenge imposed by the large-scale scenes, while utilizing the high-resolution details provided by the gigapixel images. This paper introduces GiganticNVS for gigapixel large-scale novel view synthesis (NVS). Existing NVS methods suffer from excessively blurred artifacts and fail on the full exploitation of image resolution, due to their inefficacy of recovering a faithful underlying geometry and the dependence on dense observations to accurately interpolate radiance. Our key insight is that, a highly-expressive implicit field with view-consistency is critical for synthesizing high-fidelity details from large-baseline observations. In light of this, we propose meta-deformed manifold, where meta refers to the locally defined surface manifold whose geometry and appearance are embedded into high-dimensional latent space. Technically, meta can be decoded as neural fields using an MLP (i.e., implicit representation). Upon this novel representation, multi-view geometric correspondence can be effectively enforced with featuremetric deformation and the reflectance field can be learned purely on the surface. Experimental results verify that the proposed method outperforms state-of-the-art methods both quantitatively and qualitatively, not only on the standard datasets containing complex real-world scenes with large baseline angles, but also on the challenging gigapixel-level ultra-large-scale benchmarks. Jinzhi Zhang, Ruqi Huang, Lu Fang 0001 |
IEEE Trans. Pattern Anal. Mach. Intell. | 4 |
| 2023 | Neural Intrinsic Embedding for Non-Rigid Point Cloud MatchingabstractAs a primitive 3D data representation, point clouds are prevailing in 3D sensing, yet short of intrinsic structural information of the underlying objects. Such discrepancy poses great challenges in directly establishing correspondences between point clouds sampled from deformable shapes. In light of this, we propose Neural Intrinsic Embedding (NIE) to embed each vertex into a high-dimensional space in a way that respects the intrinsic structure. Based upon NIE, we further present a weakly-supervised learning framework for non-rigid point cloud registration. Unlike the prior works, we do not require expansive and sensitive off-line basis construction (e.g., eigen-decomposition of Laplacians), nor do we require ground-truth correspondence labels for supervision. We empirically show that our framework performs on par with or even better than the state-of-the-art baselines, which generally require more supervision and/or more structural geometric input. Puhua Jiang, Ruqi Huang |
CVPR | 3 |
| 2023 | RealGraph: A Multiview Dataset for 4D Real-world Context Graph GenerationabstractUnderstanding 4D scene context in real world has become urgently critical for deploying sophisticated AI systems. In this paper, we propose a brand new scene understanding paradigm called "Context Graph Generation (CGG)", aiming at abstracting holistic semantic information in the complicated 4D world. The CGG task capitalizes on the calibrated multiview videos of a dynamic scene, and targets at recovering semantic information (coordination, trajectories and relationships) of the presented objects in the form of spatio-temporal context graph in 4D space. We also present a benchmark 4D video dataset "RealGraph", the first dataset tailored for the proposed CGG task. The raw data of RealGraph is composed of calibrated and synchronized multiview videos. We exclusively provide manual annotations including object 2D&3D bounding boxes, category labels and semantic relationships. We also make sure the annotated ID for every single object is temporally and spatially consistent. We propose the first CGG baseline algorithm, Multiview-based Context Graph Generation Network (MCGNet), to empirically investigate the legitimacy of CGG task on RealGraph dataset. We nevertheless reveal the great challenges behind this task and encourage the community to explore beyond our solution. Our project page is at https://github.com/THU-luvision/RealGraph. Haozhe Lin, Zequn Chen, Jinzhi Zhang, Ruqi Huang, Lu Fang 0001 |
ICCV | 6 |
| 2023 | Spatially and Spectrally Consistent Deep Functional MapsabstractCycle consistency has long been exploited as a powerful prior for jointly optimizing maps within a collection of shapes. In this paper, we investigate its utility in the approaches of Deep Functional Maps, which are considered state-of-the-art in non-rigid shape matching. We first justify that under certain conditions, the learned maps, when represented in the spectral domain, are already cycle consistent. Furthermore, we identify the discrepancy that spectrally consistent maps are not necessarily spatially, or point-wise, consistent. In light of this, we present a novel design of unsupervised Deep Functional Maps, which effectively enforces the harmony of learned maps under the spectral and the point-wise representation. By taking advantage of cycle consistency, our framework produces state-of-the-art results in mapping shapes even under significant distortions. Beyond that, by independently estimating maps in both spectral and spatial domains, our method naturally alleviates over-fitting in network training, yielding superior generalization performance and accuracy within an array of challenging tests for both near-isometric and non-isometric datasets. Codes are available at https://github.com/rqhuang88/Spatially-and-Spectrally-Consistent-Deep-Functional-Maps. Shiwei Mao, Puhua Jiang, Maks Ovsjanikov, Ruqi Huang |
ICCV | 5 |
| 2023 | Non-Rigid Shape Registration via Deep Functional Maps PriorabstractIn this paper, we propose a learning-based framework for non-rigid shape registra- tion without correspondence supervision. Traditional shape registration techniques typically rely on correspondences induced by extrinsic proximity, therefore can fail in the presence of large intrinsic deformations. Spectral mapping methods overcome this challenge by embedding shapes into, geometric or learned, high- dimensional spaces, where shapes are easier to align. However, due to the dependency on abstract, non-linear embedding schemes, the latter can be vulnerable with respect to perturbed or alien input. In light of this, our framework takes the best of both worlds. Namely, we deform source mesh towards the target point cloud, guided by correspondences induced by high-dimensional embeddings learned from deep functional maps (DFM). In particular, the correspondences are dynamically updated according to the intermediate registrations and filtered by consistency prior, which prominently robustify the overall pipeline. Moreover, in order to alleviate the requirement of extrinsically aligned input, we train an orientation regressor on a set of aligned synthetic shapes independent of the training shapes for DFM. Empirical results show that, with as few as dozens of training shapes of limited variability, our pipeline achieves state-of-the-art results on several benchmarks of non-rigid point cloud matching, but also delivers high-quality correspondences between unseen challenging shape pairs that undergo both significant extrinsic and intrinsic defor- mations, in which case neither traditional registration methods nor intrinsic methods work. The code is available at https://github.com/rqhuang88/DFR. Puhua Jiang, Ruqi Huang |
NeurIPS | 3 |
| 2022 | ParseMVS: Learning Primitive-aware Surface Representations for Sparse Multi-view StereopsisabstractMulti-view stereopsis (MVS) recovers 3D surfaces by finding dense photo-consistent correspondences from densely sampled images. In this paper, we tackle the challenging MVS task from sparsely sampled views (up to an order of magnitude fewer images), which is more practical and cost-efficient in applications. The major challenge comes from the significant correspondence ambiguity introduced by the severe occlusions and the highly skewed patches. On the other hand, such ambiguity can be resolved by incorporating geometric cues from the global structure. In light of this, we propose ParseMVS, boosting sparse MVS by learning the P rimitive-A waR e S urface rE presentation. In particular, on top of being aware of global structure, our novel representation further allows for the preservation of fine details including geometry, texture, and visibility. More specifically, the whole scene is parsed into multiple geometric primitives. On each of them, the geometry is defined as the displacement along the primitives' normal directions, together with the texture and visibility along each view direction. An unsupervised neural network is trained to learn these factors by progressively increasing the photo-consistency and render-consistency among all input images. Since the surface properties are changed locally in the 2D space of each primitive, ParseMVS can preserve global primitive structures while optimizing local details, handling the 'incompleteness' and the 'inaccuracy' problems. We experimentally demonstrate that ParseMVS constantly outperforms the state-of-the-art surface reconstruction method in both completeness and the overall score under varying sampling sparsity, especially under the extreme sparse-MVS settings. Beyond that, ParseMVS also shows great potential in compression, robustness, and efficiency. Haiyang Ying, Jinzhi Zhang, Zheng Cao 0005, Jing Xiao 0006, Ruqi Huang, Lu Fang 0001 |
ACM Multimedia | 6 |
| 2022 | ElasticMVS: Learning elastic part representation for self-supervised multi-view stereopsisabstractSelf-supervised multi-view stereopsis (MVS) attracts increasing attention for learning dense surface predictions from only a set of images without onerous ground-truth 3D training data for supervision. However, existing methods highly rely on the local photometric consistency, which fails to identify accurately dense correspondence in broad textureless and reflectance areas.In this paper, we show that geometric proximity such as surface connectedness and occlusion boundaries implicitly inferred from images could serve as reliable guidance for pixel-wise multi-view correspondences. With this insight, we present a novel elastic part representation which encodes physically-connected part segmentations with elastically-varying scales, shapes and boundaries. Meanwhile, a self-supervised MVS framework namely ElasticMVS is proposed to learn the representation and estimate per-view depth following a part-aware propagation and evaluation scheme. Specifically, the pixel-wise part representation is trained by a contrastive learning-based strategy, which increases the representation compactness in geometrically concentrated areas and contrasts otherwise. ElasticMVS iteratively optimizes a part-level consistency loss and a surface smoothness loss, based on a set of depth hypotheses propagated from the geometrically concentrated parts. Extensive evaluations convey the superiority of ElasticMVS in the reconstruction completeness and accuracy, as well as the efficiency and scalability. Particularly, for the challenging large-scale reconstruction benchmark, ElasticMVS demonstrates significant performance gain over both the supervised and self-supervised approaches. Jinzhi Zhang, Ruofan Tang, Zheng Cao 0005, Jing Xiao 0006, Ruqi Huang, Lu Fang 0001 |
NeurIPS | 5 |
| 2020 | Consistent ZoomOut: Efficient Spectral Map SynchronizationabstractAbstract In this paper, we propose a novel method, which we call C onsistent Z oom O ut , for efficiently refining correspondences among deformable 3D shape collections, while promoting the resulting map consistency. Our formulation is closely related to a recent unidirectional spectral refinement framework, but naturally integrates map consistency constraints into the refinement. Beyond that, we show further that our formulation can be adapted to recover the underlying isometry among near‐isometric shape collections with a theoretical guarantee, which is absent in the other spectral map synchronization frameworks. We demonstrate that our method improves the accuracy compared to the competing methods when synchronizing correspondences in both near‐isometric and heterogeneous shape collections, but also significantly outperforms the baselines in terms of map consistency. Ruqi Huang, Jing Ren 0004, Peter Wonka, Maks Ovsjanikov |
Comput. Graph. Forum | 1 |
| 2019 | OperatorNet: Recovering 3D Shapes From Difference OperatorsabstractThis paper proposes a learning-based framework for reconstructing 3D shapes from functional operators, compactly encoded as small-sized matrices. To this end we introduce a novel neural architecture, called OperatorNet, which takes as input a set of linear operators representing a shape and produces its 3D embedding. We demonstrate that this approach significantly outperforms previous purely geometric methods for the same problem. Furthermore, we introduce a novel functional operator, which encodes the extrinsic or pose-dependent shape information, and thus complements purely intrinsic pose-oblivious operators, such as the classical Laplacian. Coupled with this novel operator, our reconstruction network achieves very high reconstruction accuracy, even in the presence of incomplete information about a shape, given a soft or functional map expressed in a reduced basis. Finally, we demonstrate that the multiplicative functional algebra enjoyed by these operators can be used to synthesize entirely new unseen shapes, in the context of shape interpolation and shape analogy applications. Ruqi Huang, Marie-Julie Rakotosaona, Panos Achlioptas, Leonidas J. Guibas, Maks Ovsjanikov |
ICCV | 1 |
| 2019 | Limit Shapes - A Tool for Understanding Shape Differences and Variability in 3D Model CollectionsabstractAbstract We propose a novel construction for extracting a central or limit shape in a shape collection, connected via a functional map network. Our approach is based on enriching the latent space induced by a functional map network with an additional natural metric structure. We call this shape‐like dual object the limit shape and show that its construction avoids many of the biases introduced by selecting a fixed base shape or template. We also show that shape differences between real shapes and the limit shape can be computed and characterize the unique properties of each shape in a collection – leading to a compact and rich shape representation. We demonstrate the utility of this representation in a range of shape analysis tasks, including improving functional maps in difficult situations through the mediation of limit shapes, understanding and visualizing the variability within and across different shape classes, and several others. In this way, our analysis sheds light on the missing geometric structure in previously used latent functional spaces, demonstrates how these can be addressed and finally enables a compact and meaningful shape representation useful in a variety of practical applications. Ruqi Huang, Panos Achlioptas, Leonidas J. Guibas, Maks Ovsjanikov |
Comput. Graph. Forum | 1 |
| 2018 | On the Stability of Functional Maps and Shape Difference OperatorsabstractAbstract In this paper, we provide stability guarantees for two frameworks that are based on the notion of functional maps—the framework of shape difference operators and the one of analyzing and visualizing the deformations between shapes. We consider two types of perturbations in our analysis: one is on the input shapes and the other is on the change inscale. In theory, we formulate and justify the robustness that has been observed in practical implementations of those frameworks. Inspired by our theoretical results, we propose a pipeline for constructing shape difference operators on point clouds and show numerically that the results are robust and informative. In particular, we show that both the shape difference operators and the derived areas of highest distortion are stable with respect to changes in shape representation and change of scale. Remarkably, this is in contrast with the well‐known instability of the eigenfunctions of the Laplace–Beltrami operator computed on point clouds compared to those obtained on triangle meshes. Ruqi Huang, Frédéric Chazal, Maks Ovsjanikov |
Comput. Graph. Forum | 1 |
| 2017 | Adjoint Map Representation for Shape Analysis and MatchingabstractAbstract In this paper, we propose to consider the adjoint operators of functional maps, and demonstrate their utility in several tasks in geometry processing. Unlike a functional map, which represents a correspondence simply using the pull‐back of function values, the adjoint operator reflects both the map and its distortion with respect to given inner products. We argue that this property of adjoint operators and especially their relation to the map inverse under the choice of different inner products, can be useful in applications including bi‐directional shape matching, shape exploration, and pointwise map recovery among others. In particular, in this paper, we show that the adjoint operators can be used within the cycle‐consistency framework to encode and reveal the presence or lack of consistency between distortions in a collection, in a way that is complementary to the previously used purely map‐based consistency measures. We also show how the adjoint can be used for matching pairs of shapes, by accounting for maps in both directions, can help in recovering point‐to‐point maps from their functional counterparts, and describe how it can shed light on the role of functional basis selection. Ruqi Huang, Maks Ovsjanikov |
Comput. Graph. Forum | 1 |
| 2015 | Gromov-Hausdorff Approximation of Filamentary Structures Using Reeb-Type Graphs
Frédéric Chazal, Ruqi Huang, Jian Sun 0002 |
Discret. Comput. Geom. | 2 |