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Following rapid advancements in text and image generation, research has increasingly shifted towards 3D generation. Unlike the well-established pixel-based representation in images, 3D representations remain diverse and fragmented,…

We present a conditional generative model to learn variation in cell and nuclear morphology and the location of subcellular structures from microscopy images. Our model generalizes to a wide range of subcellular localization and allows for…

Machine Learning · Statistics 2017-05-02 Gregory R. Johnson , Rory M. Donovan-Maiye , Mary M. Maleckar

Since its foundations, more than one hundred years ago, the field of structural biology has strived to understand and analyze the properties of molecules and their interactions by studying the structure that they take in 3D space. However,…

Biomolecules · Quantitative Biology 2023-02-27 Gabriele Corso

Recent advances in molecular generative models have demonstrated great promise for accelerating scientific discovery, particularly in drug design. However, these models often struggle to generate high-quality molecules, especially in…

Machine Learning · Computer Science 2025-07-29 Zian Li , Cai Zhou , Xiyuan Wang , Xingang Peng , Muhan Zhang

Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular…

Computational Engineering, Finance, and Science · Computer Science 2022-06-08 Jun Wang , Wei Wayne Chen , Daicong Da , Mark Fuge , Rahul Rai

We introduce a new generative model that combines latent diffusion with persistent homology to create 3D shapes with high diversity, with a special emphasis on their topological characteristics. Our method involves representing 3D shapes as…

Computer Vision and Pattern Recognition · Computer Science 2024-02-01 Jiangbei Hu , Ben Fei , Baixin Xu , Fei Hou , Weidong Yang , Shengfa Wang , Na Lei , Chen Qian , Ying He

We introduce X-Ray, a novel 3D sequential representation inspired by the penetrability of x-ray scans. X-Ray transforms a 3D object into a series of surface frames at different layers, making it suitable for generating 3D models from…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Tao Hu , Wenhang Ge , Yuyang Zhao , Gim Hee Lee

Sequential assembly with geometric primitives has drawn attention in robotics and 3D vision since it yields a practical blueprint to construct a target shape. However, due to its combinatorial property, a greedy method falls short of…

Computer Vision and Pattern Recognition · Computer Science 2020-11-26 Jungtaek Kim , Hyunsoo Chung , Jinhwi Lee , Minsu Cho , Jaesik Park

Two-dimensional array-based datasets are pervasive in a variety of domains. Current approaches for generative modeling have typically been limited to conventional image datasets and performed in the pixel domain which do not explicitly…

Machine Learning · Computer Science 2021-07-12 Hoda Shajari , Jaemoon Lee , Sanjay Ranka , Anand Rangarajan

In this paper, a Feature-preserving Particle Generation (FPPG) method for arbitrary complex geometry is proposed. Instead of basing on implicit geometries, such as level-set, FPPG employs an explicit geometric representation for the…

Computational Physics · Physics 2025-01-07 Xingyue Yang , Zhenxiang Nie , Yuxin Dai , Zhe Ji

Recent mesh generation approaches typically tokenize triangle meshes into sequences of tokens and train autoregressive models to generate these tokens sequentially. Despite substantial progress, such token sequences inevitably reuse…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Jeonghwan Kim , Yushi Lan , Armando Fortes , Yongwei Chen , Xingang Pan

Geometric representation-conditioned molecule generation provides an effective paradigm that decouples molecule representation modeling from structure generation. By decoupling molecule generation into two stages-first generating a…

Machine Learning · Computer Science 2026-05-11 Shaoheng Yan , Zian Li , Cai Zhou , Qiaojing Huang , Kai Liu , Muhan Zhang

This thesis proposes a framework based on a notion of combinatorial cell complex (cc) whose cells are defined simply as finite sets of vertices. The cells of a cc are subject to four axioms involving a rank function that assigns a rank (or…

Mathematical Physics · Physics 2022-05-03 Maxime Savoy

Compositing an object into an image involves multiple non-trivial sub-tasks such as object placement and scaling, color/lighting harmonization, viewpoint/geometry adjustment, and shadow/reflection generation. Recent generative image…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Gemma Canet Tarrés , Zhe Lin , Zhifei Zhang , Jianming Zhang , Yizhi Song , Dan Ruta , Andrew Gilbert , John Collomosse , Soo Ye Kim

The inverse design of microstructures plays a pivotal role in optimizing metamaterials with specific, targeted physical properties. While traditional forward design methods are constrained by their inability to explore the vast…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Tianyang Xue , Haochen Li , Longdu Liu , Paul Henderson , Pengbin Tang , Lin Lu , Jikai Liu , Haisen Zhao , Hao Peng , Bernd Bickel

Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with fewer degrees of freedom in comparison to low-order meshes.…

Mathematical Software · Computer Science 2024-01-30 Ketan Mittal , Veselin A. Dobrev , Patrick Knupp , Tzanio Kolev , Franck Ledoux , Claire Roche , Vladimir Z. Tomov

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

Accurately modeling multi-class cell topology is crucial in digital pathology, as it provides critical insights into tissue structure and pathology. The synthetic generation of cell topology enables realistic simulations of complex tissue…

Image and Video Processing · Electrical Eng. & Systems 2025-03-26 Meilong Xu , Saumya Gupta , Xiaoling Hu , Chen Li , Shahira Abousamra , Dimitris Samaras , Prateek Prasanna , Chao Chen

With the advancement of generative AI, research on its application to 3D model generation has gained traction, particularly in automating the creation of Computer-Aided Design (CAD) files from images. GenCAD is a notable model in this…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Chikaha Tsuji , Enrique Flores Medina , Harshit Gupta , Md Ferdous Alam

Computer-Aided Design (CAD) relies on structured and editable geometric representations, yet existing generative methods are constrained by small annotated datasets with explicit design histories or boundary representation (BRep) labels.…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Mohammad Sadil Khan , Muhammad Usama , Rolandos Alexandros Potamias , Didier Stricker , Muhammad Zeshan Afzal , Jiankang Deng , Ismail Elezi