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We propose a compact and efficient tetrahedral mesh representation to improve the ray-tracing performance. We reorder tetrahedral mesh data using a space-filling curve to improve cache locality. Most importantly, we propose an efficient ray…

Graphics · Computer Science 2021-03-04 Aytek Aman , Serkan Demirci , Uğur Güdükbay

When obtaining interior 3D voxel data from triangular meshes, most existing methods fail to handle low quality meshes which happens to take up a big portion on the internet. In this work we present a robust voxelization method that is based…

Graphics · Computer Science 2021-07-22 Joseph Chen , Ko-Wei Tai , Wen-Chin Chen , Ming Ouhyoung

In computed tomography, the reconstruction is typically obtained on a voxel grid. In this work, however, we propose a mesh-based reconstruction method. For tomographic problems, 3D meshes have mostly been studied to simulate data…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Jakeoung Koo , Anders B. Dahl , J. Andreas Bærentzen , Qiongyang Chen , Sara Bals , Vedrana A. Dahl

We propose a method to efficiently compute tomographic projections of a 3D volume represented by a linear combination of shifted B-splines. To do so, we propose a ray-tracing algorithm that computes 3D line integrals with arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Youssef Haouchat , Sepand Kashani , Aleix Boquet-Pujadas , Philippe Thévenaz , Michael Unser

Medical images, especially volumetric images, are of high resolution and often exceed the capacity of standard desktop GPUs. As a result, most deep learning-based medical image analysis tasks require the input images to be downsampled,…

Image and Video Processing · Electrical Eng. & Systems 2021-08-29 Jianning Li , Antonio Pepe , Christina Gsaxner , Yuan Jin , Jan Egger

Incremental scene reconstruction is essential to the navigation in robotics. Most of the conventional methods typically make use of either TSDF (truncated signed distance functions) volume or neural networks to implicitly represent the…

Robotics · Computer Science 2024-04-30 Shaofan Liu , Junbo Chen , Jianke Zhu

A new method for solving systems of linear algebraic equations of a special type arising in solving problems of image reconstruction has been proposed. This method, due to a certain symmetry of the matrix and the choice of the voxel…

Numerical Analysis · Mathematics 2019-08-30 A. A. Alikhanov , A. M. Apekov , Z. A. Kokov , A. O. Belyaev , L. A. Khamukova

Efficient and scalable 3D surface reconstruction from range data remains a core challenge in computer graphics and vision, particularly in real-time and resource-constrained scenarios. Traditional volumetric methods based on…

Graphics · Computer Science 2025-11-27 Lorenzo De Rebotti , Emanuele Giacomini , Giorgio Grisetti , Luca Di Giammarino

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

We advertise the use of tetrahedral grids constructed via the longest edge bisection algorithm for rendering volumetric data with path tracing. The key benefits of such grids is two-fold. First, they provide a highly adaptive…

Graphics · Computer Science 2025-06-16 Anis Benyoub , Jonathan Dupuy

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

Voxels are a geometric representation used for rendering volumes, multi-resolution models, and indirect lighting effects. Since the memory consumption of uncompressed voxel volumes scales cubically with resolution, past works have…

Graphics · Computer Science 2024-10-21 Russel Arbore , Jeffrey Liu , Aidan Wefel , Steven Gao , Eric Shaffer

Despite the promising results of multi-view reconstruction, the recent neural rendering-based methods, such as implicit surface rendering (IDR) and volume rendering (NeuS), not only incur a heavy computational burden on training but also…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Yisu Zhang , Jianke Zhu , Lixiang Lin

A general concept of 3D volumetric visualization systems is described based on 3D discrete voxel scenes (worlds) representation. Definitions of 3D discrete voxel scene (world) basic elements and main steps of the image synthesis algorithm…

Graphics · Computer Science 2017-02-07 Anas M. Al-Oraiqat , E. A. Bashkov , S. A. Zori , Aladdein M. Amro

We introduce radiance meshes, a technique for representing radiance fields with constant density tetrahedral cells produced with a Delaunay tetrahedralization. Unlike a Voronoi diagram, a Delaunay tetrahedralization yields simple triangles…

The generation of high-fidelity view synthesis is essential for robotic navigation and interaction but remains challenging, particularly in indoor environments and real-time scenarios. Existing techniques often require significant…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Sen Wang , Qing Cheng , Stefano Gasperini , Wei Zhang , Shun-Cheng Wu , Niclas Zeller , Daniel Cremers , Nassir Navab

Using neural networks to represent 3D objects has become popular. However, many previous works employ neural networks with fixed architecture and size to represent different 3D objects, which lead to excessive network parameters for simple…

Computer Vision and Pattern Recognition · Computer Science 2022-08-05 Yongdong Huang , Yuanzhan Li , Xulong Cao , Siyu Zhang , Shen Cai , Ting Lu , Jie Wang , Yuqi Liu

Recent volumetric 3D reconstruction methods can produce very accurate results, with plausible geometry even for unobserved surfaces. However, they face an undesirable trade-off when it comes to multi-view fusion. They can fuse all available…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Noah Stier , Alexander Rich , Pradeep Sen , Tobias Höllerer

Ray tracing is a technique for generating an image by tracing the path of light through pixels in an image plane and simulating the effects of high-quality global illumination at a heavy computational cost. Because of the high computation…

Graphics · Computer Science 2015-04-14 Yutong Qin , Jianbiao Lin , Xiang Huang

We introduce a novel approach for the reconstruction of tubular shapes from skeletal representations. Our method processes all skeletal points as a whole, eliminating the need for splitting input structure into multiple segments. We…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Guoqing Zhang , Yang Li
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