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Recently, 3D Gaussian Splatting has dominated novel-view synthesis with its real-time rendering speed and state-of-the-art rendering quality. However, during the rendering process, the use of the Jacobian of the affine approximation of the…

Computer Vision and Pattern Recognition · Computer Science 2024-11-15 Han Qi , Tao Cai , Xiyue Han

Robust estimation is essential in computer vision, robotics, and navigation, aiming to minimize the impact of outlier measurements for improved accuracy. We present a fast algorithm for Geman-McClure robust estimation, FracGM, leveraging…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Bang-Shien Chen , Yu-Kai Lin , Jian-Yu Chen , Chih-Wei Huang , Jann-Long Chern , Ching-Cherng Sun

For many applications in signal processing and machine learning, we are tasked with minimizing a large sum of convex functions subject to a large number of convex constraints. In this paper, we devise a new random projection method (RPM) to…

Optimization and Control · Mathematics 2024-04-08 Zhichun Yang , Fu-quan Xia , Kai Tu , Man-Chung Yue

While 3D Gaussian Splatting has achieved remarkable success in photorealistic novel view synthesis, its pursuit of fast and high-fidelity 3D reconstruction has long been constrained by a trade-off between geometric accuracy and optimization…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Zhenhua Du , Zhen Tan , Haoyu Zhang , Dewen Hu , Shuaifeng Zhi , Peidong Liu

Optimization over the set of matrices $X$ that satisfy $X^\top B X = I_p$, referred to as the generalized Stiefel manifold, appears in many applications involving sampled covariance matrices such as the canonical correlation analysis (CCA),…

Machine Learning · Computer Science 2025-11-11 Simon Vary , Pierre Ablin , Bin Gao , P. -A. Absil

We present a method for fabricating general models with multi-directional 3D printing systems by printing different model regions along with different directions. The core of our method is a support-effective volume decomposition algorithm…

Robotics · Computer Science 2019-08-28 Chenming Wu , Chengkai Dai , Guoxin Fang , Yong-Jin Liu , Charlie C. L. Wang

Solving the distributional worst-case in the distributionally robust optimization problem is equivalent to finding the projection onto the intersection of simplex and singly linear inequality constraint. This projection is a key component…

Optimization and Control · Mathematics 2025-02-18 Weimi Zhou , Yong-Jin Liu

X-ray imaging plays a crucial role in the medical field, providing essential insights into the internal anatomy of patients for diagnostics, image-guided procedures, and clinical decision-making. Traditional techniques often require…

Image and Video Processing · Electrical Eng. & Systems 2025-04-17 Daiqi Liu , Fuxin Fan , Andreas Maier

Recent progress in large-scale text-to-video (T2V) and image-to-video (I2V) diffusion models has greatly enhanced video generation, especially in terms of keyframe interpolation. However, current image-to-video diffusion models, while…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Serin Yang , Taesung Kwon , Jong Chul Ye

Volume Rendering is an important technique for visualizing three-dimensional scalar data grids and is commonly employed for scientific and medical image data. Direct Volume Rendering (DVR) is a well established and efficient rendering…

Graphics · Computer Science 2021-06-11 Jakob Weiss , Nassir Navab

Inverse imaging problems rely on limited and indirect measurements, making reconstruction highly dependent on both regularization and sample locations. We introduce a novel greedy framework for the optimal selection of indirect measurements…

Numerical Analysis · Mathematics 2025-12-04 L. Bruni Bruno , P. Massa , E. Perracchione , M. Trombini

Object segmentation is an important capability for robotic systems, in particular for grasping. We present a graph- based approach for the segmentation of simple objects from RGB-D images. We are interested in segmenting objects with large…

Computer Vision and Pattern Recognition · Computer Science 2016-05-13 Giorgio Toscana , Stefano Rosa

The gVOF package includes a complete and self-contained set of routines for volume of fluid initialization, interface reconstruction and fluid advection, which are used to implement several accurate and efficient geometric volume of fluid…

Computational Physics · Physics 2022-05-25 Joaquín López , Julio Hernández

Phase retrieval is a problem encountered not only in speech and audio processing, but in many other fields such as optics. Iterative algorithms based on non-convex set projections are effective and frequently used for retrieving the phase…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-10 Tal Peer , Simon Welker , Timo Gerkmann

Computed Tomography (CT) enables detailed cross-sectional imaging but continues to face challenges in balancing reconstruction quality and computational efficiency. While deep learning-based methods have significantly improved image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-10-23 Shaokai Wu , Yuxiang Lu , Yapan Guo , Wei Ji , Suizhi Huang , Fengyu Yang , Shalayiding Sirejiding , Qichen He , Jing Tong , Yanbiao Ji , Yue Ding , Hongtao Lu

Volume approximation is an important problem found in many applications of computer graphics, vision, and image processing. The problem is about computing an accurate and compact approximate representation of 3D volumes using some simple…

Graphics · Computer Science 2013-08-20 Feng Sun , Yi-King Choi , Yizhou Yu , Wenping Wang

A new algorithm for reconstructing a two dimensional object from a set of one dimensional projected views is presented that is both computationally exact and experimentally practical. The algorithm has a computational complexity of O(n log2…

Despite the progress of learning-based methods for 6D object pose estimation, the trade-off between accuracy and scalability for novel objects still exists. Specifically, previous methods for novel objects do not make good use of the target…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Sungphill Moon , Hyeontae Son , Dongcheol Hur , Sangwook Kim

Oriented bounding box (OBB) bounding volume hierarchies offer a more precise fit than axis-aligned bounding box hierarchies in scenarios with thin elongated and arbitrarily rotated geometry, enhancing intersection test performance in ray…

In high-performance computing (HPC) environments, particularly in synchrotron radiation facilities, vast amounts of X-ray images are generated. Processing large-scale X-ray Computed Tomography (X-CT) datasets presents significant…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Amarjit Singh , Kento Sato , Kohei Yoshida , Kentaro Uesugi , Yasumasa Joti , Takaki Hatsui , Andrès Rubio Proaño
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