Zhuo Zhang , Sen Zhang , Yuan Zhao , Wei Wang , Hongzhou Wu , Xi Yang , Canqun Yang
{"title":"DFS-PINN: A Dynamic Feature Separation Physics-Informed Neural Network","authors":"Zhuo Zhang , Sen Zhang , Yuan Zhao , Wei Wang , Hongzhou Wu , Xi Yang , Canqun Yang","doi":"10.1016/j.cad.2025.103992","DOIUrl":"10.1016/j.cad.2025.103992","url":null,"abstract":"<div><div>Physics-Informed Neural Networks (PINNs) have shown great promise for solving partial differential equations (PDEs), but their application to multi-dimensional problems often suffers from the curse of dimensionality, leading to exponential growth in computational and memory requirements. Moreover, accurately capturing complex local features, such as those found in fluid flows, remains a significant challenge for existing approaches. To address these challenges, we propose the Dynamic Feature Separation Physics-Informed Neural Network (DFS-PINN), which introduces an innovative input-decoupling and dynamic interaction mechanism. This approach reduces computational complexity from <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>N</mi></mrow><mrow><mi>d</mi></mrow></msup><mo>)</mo></mrow></mrow></math></span> to <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>N</mi><mo>×</mo><mi>d</mi><mo>)</mo></mrow></mrow></math></span>, enabling efficient training and improved accuracy for multi-dimensional problems, especially in real-time rendering and fluid simulations. When applied to the lid-driven cavity flow problem, DFS-PINN achieves a 6<span><math><mo>×</mo></math></span> reduction in runtime and a 62<span><math><mo>×</mo></math></span> reduction in memory usage with <span><math><msup><mrow><mn>2</mn></mrow><mrow><mn>15</mn></mrow></msup></math></span> collocation points, compared to standard PINNs. For large-scale datasets with over <span><math><msup><mrow><mn>2</mn></mrow><mrow><mn>20</mn></mrow></msup></math></span> points, DFS-PINN attains a mean squared error (MSE) of 0.000122, showcasing its superior computational efficiency and predictive accuracy. These results position DFS-PINN as a scalable and robust framework for solving multi-dimensional PDEs, demonstrating substantial improvements in both computational efficiency and modeling accuracy.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"191 ","pages":"Article 103992"},"PeriodicalIF":3.1,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145290010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yu-Chou Chiang , Hui Wang , Xinye Li , Helmut Pottmann
{"title":"Designing self-Airy shells with unreinforced boundaries","authors":"Yu-Chou Chiang , Hui Wang , Xinye Li , Helmut Pottmann","doi":"10.1016/j.cad.2025.103990","DOIUrl":"10.1016/j.cad.2025.103990","url":null,"abstract":"<div><div>A self-Airy membrane shell is a special type of shell structure whose shape coincides with the shell’s Airy stress surface. It provides the convenient property that any polyhedral discretization of such a surface will automatically generate a mesh in funicular equilibrium. A self-Airy shell designed for a uniform vertical load would simply have a constant <em>isotropic</em> Gaussian curvature. However, a challenge in implementing a self-Airy shell in architecture is the lack of a design method, especially in designing unreinforced boundaries. Those are singular planar curves, where the two principal curvatures approach 0 and <span><math><mi>∞</mi></math></span> individually. This paper presents methods for designing unreinforced boundaries of self-Airy shells, including both smooth and discrete methods. These methods work for both positively and negatively curved surfaces. The proposed methods work linearly without iteration. The preliminary results show that the seemingly very restrictive conditions admit a variety of non-trivial surfaces.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"191 ","pages":"Article 103990"},"PeriodicalIF":3.1,"publicationDate":"2025-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145290009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Liang Du , Jiangbei Hu , Shengfa Wang , Yu Jiang , Na Lei , Ying He , Zhongxuan Luo
{"title":"Topo-GenMeta: Generative design of metamaterials based on diffusion model with attention to topology","authors":"Liang Du , Jiangbei Hu , Shengfa Wang , Yu Jiang , Na Lei , Ying He , Zhongxuan Luo","doi":"10.1016/j.cad.2025.103977","DOIUrl":"10.1016/j.cad.2025.103977","url":null,"abstract":"<div><div>Metamaterials are a family of artificial materials that achieve unique properties by designing the shape of unit cell structures. Expanding the metamaterial unit cell library is a key focus in this field, with the aim of enhancing the design flexibility to meet multifunctional requirements across diverse physical scenarios. Recent advancements in data-driven generative techniques using deep learning have significantly sped up innovations in metamaterial design. However, existing approaches mostly focus on the geometric characteristics of unit structures without considering their topological properties explicitly, which we believe are essential for enhancing design diversity and enriching material properties. In this study, we propose a novel data-driven metamaterial design methodology that combines the denoising diffusion probabilistic model with the persistent homology technique. Our model is capable of generating high-fidelity and functionally effective unit structures. Furthermore, by incorporating topological properties derived from persistent homology into the diffusion process, our method facilitates the generation of a diversity of metamaterial unit structures with richer shapes and properties. To the best of our knowledge, this is the first approach to explicitly consider topological properties in metamaterial design. In addition, our method also supports multi-scale design applications, enabling the generation of metamaterial units that align with the desired properties to achieve the optimization objectives.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103977"},"PeriodicalIF":3.1,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Text-driven 3D human motion generation for pose estimation using dual-transformer architecture","authors":"Rizwan Abbas , Hua Gao , Xi Li","doi":"10.1016/j.cad.2025.103991","DOIUrl":"10.1016/j.cad.2025.103991","url":null,"abstract":"<div><div>Text-to-motion generation has made significant progress in recent years. However, existing approaches struggle to generate high-quality 3D human motions that effectively capture pose estimation. These limitations are due to weak pose estimation and limited skeletal modeling. To address these limitations, we propose DT3DPE (Dual-Transformer for 3D Pose Estimation), a framework that integrates pose estimation to generate text-aligned, realistic 3D human motions. The proposed approach introduces residual vector quantization with additional layers for encoding pose tokens, enabling the capture of fine-grained details in body dynamics. Furthermore, DT3DPE employs a dual-transformer architecture, consisting of a masked transformer for motion token prediction and a residual transformer for refining motion details. This dual-transformer architecture allows the model to generate high-fidelity 3D human poses with precise body joint positioning and smooth temporal transitions. The experimental results on HumanML3D and KIT-ML datasets demonstrate that DT3DPE outperforms existing state-of-the-art methods in text-driven 3D human motion generation. Our code is available at <span><span>https://github.com/swerizwan/DT3DPE</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103991"},"PeriodicalIF":3.1,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Jinsong Zhang , Xiongzheng Li , Hailong Jia , Jin Li , Zhuo Su , Guidong Wang , Kun Li
{"title":"LoGAvatar: Local Gaussian Splatting for human avatar modeling from monocular video","authors":"Jinsong Zhang , Xiongzheng Li , Hailong Jia , Jin Li , Zhuo Su , Guidong Wang , Kun Li","doi":"10.1016/j.cad.2025.103973","DOIUrl":"10.1016/j.cad.2025.103973","url":null,"abstract":"<div><div>Avatar reconstruction from monocular videos plays a pivotal role in various virtual and augmented reality applications. Recent methods have utilized 3D Gaussian Splatting (GS) to model human avatars, achieving fast rendering speeds with high visual quality. However, due to the independent nature of GS primitives, existing approaches often struggle to capture high-fidelity details and lack the ability to edit the reconstructed avatars effectively. To address these limitations, we propose Local Gaussian Splatting Avatar (LoGAvatar), a novel framework designed to enhance both geometry and texture modeling of human avatars. Specifically, we introduce a hierarchical Gaussian splatting framework, where local GS primitives are predicted based on sampled points from a human template model, such as SMPL. For texture modeling, we design a convolution-based texture atlas that preserves spatial continuity and enriches fine details. By aggregating local information for both geometry and texture, our approach reconstructs high-fidelity avatars while maintaining real-time rendering efficiency. Experimental results on two public datasets demonstrate the superior performance of our method in terms of avatar fidelity and rendering quality. Moreover, based on our LoGAvatar, we can edit the shape and texture of the reconstructed avatar, which inspires more customized avatar applications. The code is available at <span><span>http://cic.tju.edu.cn/faculty/likun/projects/LoGAvatar</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103973"},"PeriodicalIF":3.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qing Pan , Yunqing Huang , Chong Chen , Xiaofeng Yang , Yongjie Jessica Zhang
{"title":"Fully discrete subdivision-based IGA scheme with decoupled structure and unconditional energy stability for the phase-field crystal model on surfaces","authors":"Qing Pan , Yunqing Huang , Chong Chen , Xiaofeng Yang , Yongjie Jessica Zhang","doi":"10.1016/j.cad.2025.103969","DOIUrl":"10.1016/j.cad.2025.103969","url":null,"abstract":"<div><div>In this work, we aim to numerically solve the phase-field crystal (PFC) model to simulate atomic growth on manifolds. The geometric complexity, pronounced curvature variations, and nonlinearities inherent in the physical model pose significant challenges, necessitating the development of efficient and robust numerical schemes that can handle strong coupling and nonlinear terms while accurately accounting for curved geometries. To address these challenges, we first adopt a subdivision-based isogeometric analysis (IGA) for spatial discretization. This approach effectively resolves geometric complexities by offering hierarchical refinability, geometric exactness, and adaptability to arbitrary topologies, while eliminating geometric errors commonly encountered in traditional finite element methods. For temporal discretization, the highly nonlinear terms in the model are addressed using the Invariant Energy Quadratization (IEQ) method, which linearizes the nonlinear terms and guarantees strict unconditional energy stability. However, the introduction of auxiliary variables in the IEQ method results in a linearly coupled system. To overcome this limitation and further enhance computational efficiency, we incorporate the Zero-Energy-Coupling (ZEC) approach, ultimately constructing a scheme that achieves second-order accuracy, linearity, unconditional energy stability, and a fully decoupled structure. We rigorously prove the energy stability and solvability of the proposed scheme and validate its accuracy and robustness through extensive numerical experiments conducted on manifolds, demonstrating its capability to handle intricate geometric structures and nonlinear dynamics effectively.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103969"},"PeriodicalIF":3.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222449","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A new measure of fairness for curves","authors":"Shoichi Tsuchie","doi":"10.1016/j.cad.2025.103979","DOIUrl":"10.1016/j.cad.2025.103979","url":null,"abstract":"<div><div>This paper proposes a novel measure based on curvature variation to evaluate the fairness of curves. It is demonstrated that, in the simplest case, controlling the curvature using the proposed measure results in the log-aesthetic curve (LAC). In other words, by utilizing the proposed measure as a novel shape parameter, a unified framework can be established for aesthetic curves that accommodates a broader range of curvature variations, encompassing the LAC as a special case. Several examples are presented to illustrate curve evaluation using the proposed measure, along with its application to the approximation of aesthetic curves. The findings of this study offer a new perspective for understanding and evaluating the geometric properties of curves, with potential applications in curve design, analysis, and fairing.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103979"},"PeriodicalIF":3.1,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Prototype optimization and self-training for few-shot 3D point cloud semantic segmentation","authors":"Jie Zhou , Yong Zhao , Fan Zhong","doi":"10.1016/j.cad.2025.103976","DOIUrl":"10.1016/j.cad.2025.103976","url":null,"abstract":"<div><div>Few-shot point cloud segmentation aims to accurately decompose 3D point clouds into different semantic classes with few samples, and is crucial for subsequent tasks, such as analysis, modeling and editing. Despite the popularity of prototype-based approaches, prototypes often fail to adequately capture class-specific information. Therefore, for each class, a few points may exhibit significant differences from their prototype. And the lack of sufficient distinction between foreground and background prototypes presents a great challenge for precise segmentation. To address these issues, we propose a prototype optimization module to mitigate the interference among support prototypes, thereby generating prototypes of superior quality. These refined prototypes are capable of capturing the key characteristics of the data, which can prominently improve the generalization capability of our model. Then, we devise a self-training strategy that leverages pseudo query prototypes generated from high-confidence predicted labels. These prototypes are applied to query features to produce pseudo query labels and formulate a reconstruction constraint during training. By harnessing the contextual information embedded within query features, this approach significantly elevates segmentation performance. Extensive results on two popular benchmark datasets validate the superiority of our model, especially in the challenging 1-shot settings. Under the classic experimental setup, our method surpasses existing state-of-the-arts by 2.64% in 2-way 1-shot setting on the S3DIS dataset. On the ScanNet dataset, the improvements are 7.58% in 2-way 1-shot setting and 6.44% in 3-way 1-shot setting, respectively.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103976"},"PeriodicalIF":3.1,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269538","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive gap closing for complex triangular mesh repair using geometric and topological characteristics","authors":"Shuwei Shen , Shuai Zhou , Zhoufang Xiao , Jingchen Gao , Chenhao Xu","doi":"10.1016/j.cad.2025.103981","DOIUrl":"10.1016/j.cad.2025.103981","url":null,"abstract":"<div><div>Gaps are prevalent defects in triangular meshes, often arising from various sources such as surface scanning and CAD model generation. Despite their significance, the automatic repair of complex gaps has received limited attention compared to other mesh imperfections. This study presents a novel surface-based gap-closing method for triangular mesh repair, leveraging both local geometric and topological characteristics to robustly match and merge gap boundaries. The proposed approach first employs a global–local vertex merging procedure with adaptive tolerances to eliminate duplicate vertices and simplify complex gaps. Subsequently, gaps are identified and classified into connected and disconnected types based on their topological and geometric features. For each detected gap, a non-iterative closing procedure is applied, simultaneously matching and merging all boundary vertices. An adaptive scheme is introduced to determine the geometric tolerance for vertex matching, ensuring the effective preservation of the original geometric shape. Extensive numerical experiments on a large dataset of discrete models demonstrate the effectiveness and robustness of the proposed method in closing both connected and disconnected gaps.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103981"},"PeriodicalIF":3.1,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CORNet: A Consistency-based Outlier Rejection Network for non-rigid registration","authors":"Chang Yu, Sanguo Zhang, Li-Yong Shen","doi":"10.1016/j.cad.2025.103980","DOIUrl":"10.1016/j.cad.2025.103980","url":null,"abstract":"<div><div>Non-rigid point cloud registration is an important problem in computer vision and graphics, aiming to find the warping function between deformed point clouds. In this paper, we propose CORNet, a consistency-based outlier rejection network for non-rigid registration. By leveraging the local geometric structure and probability distribution of point clouds, we obtain local spatial consistency and Gaussian probabilistic consistency. We then employ the Transformer mechanism, combined with consistency information, to classify inliers and outliers in correspondences, ultimately obtaining high-quality correspondences for non-rigid registration. Ablation studies validate the effectiveness of our method, and extensive experiments demonstrate that our method achieves state-of-the-art performance.</div></div>","PeriodicalId":50632,"journal":{"name":"Computer-Aided Design","volume":"190 ","pages":"Article 103980"},"PeriodicalIF":3.1,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145159991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}