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Surface reconstruction and novel view rendering from sparse-view images are challenging. Signed Distance Function (SDF)-based methods struggle with fine details, while 3D Gaussian Splatting (3DGS)-based approaches lack global geometry…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Zihui Gao , Jia-Wang Bian , Guosheng Lin , Hao Chen , Chunhua Shen

This paper further develops the Method of Matched Sections (MMS), a robust numerical framework for the solution of boundary value problems governed by partial differential equations. It demonstrates its unique applicability to the…

Graphics · Computer Science 2026-05-05 Igor Orynyak , Kirill Danylenko , Danylo Tavrov

This paper introduces a new shape-based image reconstruction technique applicable to a large class of imaging problems formulated in a variational sense. Given a collection of shape priors (a shape dictionary), we define our problem as…

Functional Analysis · Mathematics 2013-03-04 Alireza Aghasi , Justin Romberg

Tomography is the area of reconstructing objects from projections. Here we wish to reconstruct a set of cells in a two dimensional grid, given the number of cells in every row and column. The set is required to be an hv-convex polyomino,…

Data Structures and Algorithms · Computer Science 2007-05-23 Christoph Durr , Marek Chrobak

This paper presents PlanarSplatting, an ultra-fast and accurate surface reconstruction approach for multiview indoor images. We take the 3D planes as the main objective due to their compactness and structural expressiveness in indoor…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Bin Tan , Rui Yu , Yujun Shen , Nan Xue

Automated three-dimensional (3D) object reconstruction is the task of building a geometric representation of a physical object by means of sensing its surface. Even though new single view reconstruction techniques can predict the surface,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-27 J. Irving Vasquez-Gomez , David Troncoso , Israel Becerra , Enrique Sucar , Rafael Murrieta-Cid

Reconstructing the underlying 3D surface of an object from a single image is a challenging problem that has received extensive attention from the computer vision community. Many learning-based approaches tackle this problem by learning a 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Nicolai Häni , Jun-Jee Chao , Volkan Isler

We propose a fast and accurate surface reconstruction algorithm for unorganized point clouds using an implicit representation. Recent learning methods are either single-object representations with small neural models that allow for high…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Siddhant Ranade , Gonçalo Dias Pais , Ross Tyler Whitaker , Jacinto C. Nascimento , Pedro Miraldo , Srikumar Ramalingam

Surface reconstruction from sparse views aims to reconstruct a 3D shape or scene from few RGB images. The latest methods are either generalization-based or overfitting-based. However, the generalization-based methods do not generalize well…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Liang Han , Xu Zhang , Haichuan Song , Kanle Shi , Yu-Shen Liu , Zhizhong Han

Cascaded regression has been recently applied to reconstructing 3D faces from single 2D images directly in shape space, and achieved state-of-the-art performance. This paper investigates thoroughly such cascaded regression based 3D face…

Computer Vision and Pattern Recognition · Computer Science 2017-04-19 Feng Liu , Dan Zeng , Jing Li , Qijun Zhao

We present Neural Splines, a technique for 3D surface reconstruction that is based on random feature kernels arising from infinitely-wide shallow ReLU networks. Our method achieves state-of-the-art results, outperforming recent neural…

Computer Vision and Pattern Recognition · Computer Science 2021-05-28 Francis Williams , Matthew Trager , Joan Bruna , Denis Zorin

This paper addresses the problem of mirror surface reconstruction, and proposes a solution based on observing the reflections of a moving reference plane on the mirror surface. Unlike previous approaches which require tedious calibration,…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Kai Han , Miaomiao Liu , Dirk Schnieders , Kwan-Yee K. Wong

Orthogonal surfaces are nice mathematical objects which have interesting connections to various fields, e.g., integer programming, monomial ideals and order dimension. While orthogonal surfaces in one or two dimensions are rather trivial…

Combinatorics · Mathematics 2007-05-23 Stefan Felsner , Sarah Kappes

Reconstruction based on the stereo camera has received considerable attention recently, but two particular challenges still remain. The first concerns the need to aggregate similar pixels in an effective approach, and the second is to…

Computer Vision and Pattern Recognition · Computer Science 2017-03-31 Lei Fan , Ziyu Pan , Long Chen , Kai Huang

Scene and object reconstruction is an important problem in robotics, in particular in planning collision-free trajectories or in object manipulation. This paper compares two strategies for the reconstruction of nonvisible parts of the…

Robotics · Computer Science 2025-01-28 Rafał Staszak , Piotr Michałek , Jakub Chudziński , Marek Kopicki , Dominik Belter

Single-view 3D object reconstruction is a challenging fundamental problem in computer vision, largely due to the morphological diversity of objects in the natural world. In particular, high curvature regions are not always captured…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Ziyun Wang , Eric A. Mitchell , Volkan Isler , Daniel D. Lee

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

Radiography is widely used in orthopedics for its affordability and low radiation exposure. 3D reconstruction from a single radiograph, so-called 2D-3D reconstruction, offers the possibility of various clinical applications, but achieving…

Image and Video Processing · Electrical Eng. & Systems 2024-09-26 Yi Gu , Yoshito Otake , Keisuke Uemura , Masaki Takao , Mazen Soufi , Seiji Okada , Nobuhiko Sugano , Hugues Talbot , Yoshinobu Sato

We propose an analysis-by-synthesis method for fast multi-view 3D reconstruction of opaque objects with arbitrary materials and illumination. State-of-the-art methods use both neural surface representations and neural rendering. While…

Computer Vision and Pattern Recognition · Computer Science 2022-12-09 Markus Worchel , Rodrigo Diaz , Weiwen Hu , Oliver Schreer , Ingo Feldmann , Peter Eisert

One major challenge in 3D reconstruction is to infer the complete shape geometry from partial foreground occlusions. In this paper, we propose a method to reconstruct the complete 3D shape of an object from a single RGB image, with…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Chuhang Zou , Derek Hoiem