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Related papers: Primitive-based Shape Abstraction via Nonparametri…

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Representing complex 3D objects as simple geometric primitives, known as shape abstraction, is important for geometric modeling, structural analysis, and shape synthesis. In this paper, we propose an unsupervised shape abstraction method to…

Computer Vision and Pattern Recognition · Computer Science 2021-06-08 Kaizhi Yang , Xuejin Chen

We present a learning framework for abstracting complex shapes by learning to assemble objects using 3D volumetric primitives. In addition to generating simple and geometrically interpretable explanations of 3D objects, our framework also…

Computer Vision and Pattern Recognition · Computer Science 2018-08-06 Shubham Tulsiani , Hao Su , Leonidas J. Guibas , Alexei A. Efros , Jitendra Malik

The abstraction of 3D objects with simple geometric primitives like cuboids allows to infer structural information from complex geometry. It is important for 3D shape understanding, structural analysis and geometric modeling. We introduce a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Gregor Kobsik , Morten Henkel , Yanjiang He , Victor Czech , Tim Elsner , Isaak Lim , Leif Kobbelt

Impressive progress in 3D shape extraction led to representations that can capture object geometries with high fidelity. In parallel, primitive-based methods seek to represent objects as semantically consistent part arrangements. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Despoina Paschalidou , Angelos Katharopoulos , Andreas Geiger , Sanja Fidler

Representing complex objects with basic geometric primitives has long been a topic in computer vision. Primitive-based representations have the merits of compactness and computational efficiency in higher-level tasks such as physics…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Weixiao Liu , Yuwei Wu , Sipu Ruan , Gregory S. Chirikjian

This paper tackles the problem of data abstraction in the context of 3D point sets. Our method classifies points into different geometric primitives, such as planes and cones, leading to a compact representation of the data. Being based on…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Christiane Sommer , Yumin Sun , Erik Bylow , Daniel Cremers

The success of various applications including robotics, digital content creation, and visualization demand a structured and abstract representation of the 3D world from limited sensor data. Inspired by the nature of human perception of 3D…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chuhang Zou , Ersin Yumer , Jimei Yang , Duygu Ceylan , Derek Hoiem

A novel formulation of the clustering problem is introduced in which the task is expressed as an estimation problem, where the object to be estimated is a function which maps a point to its distribution of cluster membership. Unlike…

Machine Learning · Computer Science 2025-10-14 David P. Hofmeyr

Shape primitive abstraction, which decomposes complex 3D shapes into simple geometric elements, plays a crucial role in human visual cognition and has broad applications in computer vision and graphics. While recent advances in 3D content…

Graphics · Computer Science 2025-05-08 Jingwen Ye , Yuze He , Yanning Zhou , Yiqin Zhu , Kaiwen Xiao , Yong-Jin Liu , Wei Yang , Xiao Han

Abstraction plays a key role in concept learning and knowledge discovery; this paper is concerned with computational abstraction. In particular, we study the nature of abstraction through a group-theoretic approach, formalizing it as…

Machine Learning · Computer Science 2019-07-23 Haizi Yu , Igor Mineyev , Lav R. Varshney

3D Shape representation has substantial effects on 3D shape reconstruction. Primitive-based representations approximate a 3D shape mainly by a set of simple implicit primitives, but the low geometrical complexity of the primitives limits…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Mohsen Yavartanoo , JaeYoung Chung , Reyhaneh Neshatavar , Kyoung Mu Lee

The task of shape abstraction with semantic part consistency is challenging due to the complex geometries of natural objects. Recent methods learn to represent an object shape using a set of simple primitives to fit the target.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Di Liu , Long Zhao , Qilong Zhangli , Yunhe Gao , Ting Liu , Dimitris N. Metaxas

We generate abstractions of buildings, reflecting the essential aspects of their geometry and structure, by learning to invert procedural models. We first build a dataset of abstract procedural building models paired with simulated point…

Computer Vision and Pattern Recognition · Computer Science 2025-01-30 Maximilian Dax , Jordi Berbel , Jan Stria , Leonidas Guibas , Urs Bergmann

This paper proposes a segmentation-free, automatic and efficient procedure to detect general geometric quadric forms in point clouds, where clutter and occlusions are inevitable. Our everyday world is dominated by man-made objects which are…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Tolga Birdal , Benjamin Busam , Nassir Navab , Slobodan Ilic , Peter Sturm

Humans perceive and construct the world as an arrangement of simple parametric models. In particular, we can often describe man-made environments using volumetric primitives such as cuboids or cylinders. Inferring these primitives is…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Florian Kluger , Eric Brachmann , Michael Ying Yang , Bodo Rosenhahn

Both humans and deep learning models can recognize objects from 3D shapes depicted with sparse visual information, such as a set of points randomly sampled from the surfaces of 3D objects (termed a point cloud). Although deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Shuhao Fu , Philip J. Kellman , Hongjing Lu

Understanding 3D object shapes necessitates shape representation by object parts abstracted from results of instance and semantic segmentation. Promising shape representations enable computers to interpret a shape with meaningful parts and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Jiaxin Li , Hongxing Wang , Jiawei Tan , Zhilong Ou , Junsong Yuan

3D shape generation is a challenging problem due to the high-dimensional output space and complex part configurations of real-world objects. As a result, existing algorithms experience difficulties in accurate generative modeling of 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Salman H. Khan , Yulan Guo , Munawar Hayat , Nick Barnes

We investigate transductive zero-shot point cloud semantic segmentation, where the network is trained on seen objects and able to segment unseen objects. The 3D geometric elements are essential cues to imply a novel 3D object type. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Runnan Chen , Xinge Zhu , Nenglun Chen , Wei Li , Yuexin Ma , Ruigang Yang , Wenping Wang

In this work we present WIR3D, a technique for abstracting 3D shapes through a sparse set of visually meaningful curves in 3D. We optimize the parameters of Bezier curves such that they faithfully represent both the geometry and salient…

Graphics · Computer Science 2025-08-19 Richard Liu , Daniel Fu , Noah Tan , Itai Lang , Rana Hanocka
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