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We present an approach to inform the reconstruction of a surface from a point scan through topological priors. The reconstruction is based on basis functions which are optimized to provide a good fit to the point scan while satisfying…

Computational Geometry · Computer Science 2021-09-17 Rickard Brüel-Gabrielsson , Vignesh Ganapathi-Subramanian , Primoz Skraba , Leonidas J. Guibas

The surface reconstruction problem from sets of planar parallel slices representing cross sections through 3D objects is presented. The final result of surface reconstruction is always based on the correct estimation of the structure of the…

Graphics · Computer Science 2023-01-05 Radek Svitak , Vaclav Skala

In this work, we study the perception problem for sampled surfaces (possibly with boundary) using tools from computational topology, specifically, how to identify their underlying topology starting from point-cloud samples in space, such as…

Computational Geometry · Computer Science 2024-10-17 Franco Coltraro , Jaume Amorós , Maria Alberich-Carramiñana , Carme Torras

Reconstructing models from unorganized point clouds presents a significant challenge, especially when the models consist of multiple components represented by their surface point clouds. Such models often involve point clouds with noise…

Computational Geometry · Computer Science 2025-08-26 Yu Chen , Hongwei Lin

Generating accurate digital tree models from scanned environments is invaluable for forestry, agriculture, and other outdoor industries in tasks such as identifying biomass, fall hazards and traversability, as well as digital applications…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Thomas Lowe , Joshua Pinskier

We present a topology-informed inverse rendering approach for reconstructing high-genus surface meshes from multi-view images. Compared to 3D representations like voxels and point clouds, mesh-based representations are preferred as they…

Reconstructing the surfaces of deformable objects from correspondences between a 3D template and a 2D image is well studied under Shape-from-Template (SfT) methods; however, existing approaches break down when topological changes accompany…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Kevin Manogue , Tomasz M Schang , Dilara Kuş , Jonas Müller , Stefan Zachow , Agniva Sengupta

Surface reconstruction from point clouds is a fundamental step in many applications in computer vision. In this paper, we develop an efficient iterative method on a variational model for the surface reconstruction from point clouds. The…

Numerical Analysis · Mathematics 2020-05-26 Dong Wang

We introduce a continuous global optimization method to the field of surface reconstruction from discrete noisy cloud of points with weak information on orientation. The proposed method uses an energy functional combining flux-based…

Graphics · Computer Science 2017-08-01 Rongjiang Pan , Vaclav Skala

In this article we present a method to reconstruct the interconnectedness of dynamically related stochastic processes, where the interactions are bi-directional and the underlying topology is a tree. Our approach is based on multivariate…

Machine Learning · Computer Science 2017-03-03 Saurav Talukdar , Deepjyoti Deka , Donatello Materassi , Murti V. Salapaka

We propose a level-set-based semi-Lagrangian method on graded adaptive Cartesian grids to address the problem of surface reconstruction from point clouds. The goal is to obtain an implicit, high-quality representation of real shapes that…

Numerical Analysis · Mathematics 2026-03-26 Silvia Preda , Matteo Semplice

Reconstructing the 3D mesh of a general object from a single image is now possible thanks to the latest advances of deep learning technologies. However, due to the nontrivial difficulty of generating a feasible mesh structure, the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Junyi Pan , Xiaoguang Han , Weikai Chen , Jiapeng Tang , Kui Jia

We propose a novel tree-like curvilinear structure reconstruction algorithm based on supervised learning and graph theory. In this work we analyze image patches to obtain the local major orientations and the rankings that correspond to the…

Computer Vision and Pattern Recognition · Computer Science 2016-12-09 Seong-Gyun Jeong , Yuliya Tarabalka , Nicolas Nisse , Josiane Zerubia

We propose a level set method to reconstruct unknown surfaces from point clouds, without assuming that the connections between points are known. We consider a variational formulation with a curvature constraint that minimizes the surface…

Numerical Analysis · Mathematics 2024-10-30 Silvia Preda , Matteo Semplice

Accurate reconstruction of leaf surfaces from 3D point cloud is essential for agricultural applications such as phenotyping. However, real-world plant data (i.e., irregular 3D point cloud) are often complex to reconstruct plant parts…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Arif Ahmed , Parikshit Maini

Poisson Surface Reconstruction is a widely-used algorithm for reconstructing a surface from an oriented point cloud. To facilitate applications where only partial surface information is available, or scanning is performed sequentially, a…

Graphics · Computer Science 2025-06-06 Sidhanth Holalkere , David S. Bindel , Silvia Sellán , Alexander Terenin

Point cloud surface reconstruction has improved in accuracy with advances in deep learning, enabling applications such as infrastructure inspection. Recent approaches that reconstruct from small local regions rather than entire point clouds…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Eito Ogawa , Taiga Hayami , Hiroshi Watanabe

A table is an object that captures structured and informative content within a document, and recognizing a table in an image is challenging due to the complexity and variety of table layouts. Many previous works typically adopt a two-stage…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Youngmin Baek , Daehyun Nam , Jaeheung Surh , Seung Shin , Seonghyeon Kim

Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this task that produces an implicit surface (zero-level set)…

Numerical Analysis · Mathematics 2022-07-22 Kathryn P. Drake , Edward J. Fuselier , Grady B. Wright

Thin surfaces, such as the leaves of a plant, pose a significant challenge for implicit surface reconstruction techniques, which typically assume a closed, orientable surface. We show that by approximately interpolating a point cloud of the…

Numerical Analysis · Mathematics 2023-09-19 Riley M. Whebell , Timothy J. Moroney , Ian W. Turner , Ravindra Pethiyagoda , Scott W. McCue
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