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This work aims at the precise and efficient computation of the x-ray projection of an image represented by a linear combination of general shifted basis functions that typically overlap. We achieve this with a suitable adaptation of ray…

Image and Video Processing · Electrical Eng. & Systems 2025-09-15 Youssef Haouchat , Sepand Kashani , Philippe Thévenaz , Michael Unser

3D Gaussian Splatting (3DGS) has recently emerged in computer vision as a promising rendering technique. By adapting the principles of Elliptical Weighted Average (EWA) splatting to a modern differentiable pipeline, 3DGS enables real-time,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ling Chen , Bao Yang

We introduce a method for high-quality 3D reconstruction from multi-view images. Our method uses a new point-based representation, the regularized dipole sum, which generalizes the winding number to allow for interpolation of per-point…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Hanyu Chen , Bailey Miller , Ioannis Gkioulekas

X-ray tomographic reconstruction typically uses voxel basis functions to represent volumetric images. Due to the structure in voxel basis representations, efficient ray-tracing methods exist allowing fast, GPU accelerated implementations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-20 Ander Biguri , Hossein Towsyfyan , Richard Boardman , Thomas Blumensath

Particle-based representations of radiance fields such as 3D Gaussian Splatting have found great success for reconstructing and re-rendering of complex scenes. Most existing methods render particles via rasterization, projecting them to…

Ray-tracing-based 3D Gaussian splatting (3DGS) methods overcome the limitations of rasterization -- rigid pinhole camera assumptions, inaccurate shadows, and lack of native reflection or refraction -- but remain slower due to the cost of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Peiyu Xu , Xin Sun , Krishna Mullia , Raymond Fei , Iliyan Georgiev , Shuang Zhao

Reconstruction of geometry based on different input modes, such as images or point clouds, has been instrumental in the development of computer aided design and computer graphics. Optimal implementations of these applications have…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Jun Gao , Chengcheng Tang , Vignesh Ganapathi-Subramanian , Jiahui Huang , Hao Su , Leonidas J. Guibas

We present a light and fast, public available, ray-tracer {\tt Splotch} software tool which supports the effective visualization of cosmological simulations data. We describe the algorithm it relies on, which is designed in order to deal…

Astrophysics · Physics 2008-12-18 K. Dolag , M. Reinecke , C. Gheller , S. Imboden

The 3D reconstruction of simultaneous localization and mapping (SLAM) is an important topic in the field for transport systems such as drones, service robots and mobile AR/VR devices. Compared to a point cloud representation, the 3D…

Robotics · Computer Science 2023-09-12 Quentin Picard , Stephane Chevobbe , Mehdi Darouich , Jean-Yves Didier

Real-time rendering of dynamic line sets is relevant in many visualization tasks, including unsteady flow visualization and interactive white matter reconstruction from Magnetic Resonance Imaging. High-quality global illumination and…

Graphics · Computer Science 2026-02-13 Bram Kraaijeveld , Andrei C. Jalba , Anna Vilanova , Maxime Chamberland

In this paper, we propose a computational framework for 3D volume reconstruction from 2D histological slices using registration algorithms in feature space. To improve the quality of reconstructed 3D volume, first, intensity variations in…

Computer Vision and Pattern Recognition · Computer Science 2009-07-21 Ulas Bagci , Li Bai

Iterative methods for tomographic image reconstruction have great potential for enabling high quality imaging from low-dose projection data. The computational burden of iterative reconstruction algorithms, however, has been an impediment in…

Image and Video Processing · Electrical Eng. & Systems 2019-07-25 Kai Zhang , Alireza Entezari

Abstract representations of 3D scenes play a crucial role in computer vision, enabling a wide range of applications such as mapping, localization, surface reconstruction, and even advanced tasks like SLAM and rendering. Among these…

Computer Vision and Pattern Recognition · Computer Science 2024-12-16 Chenggang Yang , Yuang Shi

The problem of 3D reconstruction from posed images is undergoing a fundamental transformation, driven by continuous advances in 3D Gaussian Splatting (3DGS). By modeling scenes explicitly as collections of 3D Gaussians, 3DGS enables…

Computer Vision and Pattern Recognition · Computer Science 2026-03-02 Vitor Pereira Matias , Daniel Perazzo , Vinicius Silva , Alberto Raposo , Luiz Velho , Afonso Paiva , Tiago Novello

3D Gaussian splatting (3DGS) has shown promising results in image rendering and surface reconstruction. However, its potential in volumetric reconstruction tasks, such as X-ray computed tomography, remains under-explored. This paper…

Image and Video Processing · Electrical Eng. & Systems 2024-10-29 Ruyi Zha , Tao Jun Lin , Yuanhao Cai , Jiwen Cao , Yanhao Zhang , Hongdong Li

A robust, resource-efficient, distributed, and minimally parameterized 3D map matching and merging algorithm is proposed. The suggested algorithm utilizes tomographic features from 2D projections of horizontal cross-sections of…

Robotics · Computer Science 2024-07-01 Halil Utku Unlu , Anthony Tzes , Prashanth Krishnamurthy , Farshad Khorrami

The sharp rise in medical tomography examinations has created a demand for automated systems that can reliably extract informative features for downstream tasks such as tumor characterization. Although 3D volumes contain richer information…

Image and Video Processing · Electrical Eng. & Systems 2025-12-17 Johannes Kiechle , Stefan M. Fischer , Daniel M. Lang , Cosmin I. Bercea , Matthew J. Nyflot , Lina Felsner , Julia A. Schnabel , Jan C. Peeken

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

We propose a visual SLAM method by predicting and updating line flows that represent sequential 2D projections of 3D line segments. While feature-based SLAM methods have achieved excellent results, they still face problems in challenging…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Qiuyuan Wang , Zike Yan , Junqiu Wang , Fei Xue , Wei Ma , Hongbin Zha

We present a novel approach enabling interactive visualization of volumetric Locally Refined B-splines (LR-splines). To this end we propose a highly efficient algorithm for direct visualization of scalar and vector fields given by an…

Graphics · Computer Science 2018-03-15 Franz G. Fuchs , Oliver J. D. Barrowclough , Jon M. Hjelmervik , Heidi E. I. Dahl
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