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We study algorithms to estimate geometric properties of raw point cloud data through implicit surface representations. Given that any level-set function with a constant level set corresponding to the surface can be used for such…

Numerical Analysis · Mathematics 2026-04-02 Alex Shiu Lun Chu , Leevan Ling , Ka Chun Cheung

In rate-distortion optimization, the encoder settings are determined by maximizing a reconstruction quality measure subject to a constraint on the bit rate. One of the main challenges of this approach is to define a quality measure that can…

Image and Video Processing · Electrical Eng. & Systems 2021-08-11 Qi Liu , Hui Yuan , Raouf Hamzaoui , Honglei Su , Junhui Hou , Huan Yang

The unstructured and irregular nature of points poses a significant challenge for accurate point cloud quality assessment (PCQA), particularly in establishing accurate perceptual feature correspondence. To tackle this, we propose the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Zhang Chen , Shuai Wan , Yuezhe Zhang , Siyu Ren , Fuzheng Yang , Junhui Hou

Point clouds are widely used in 3D content representation and have various applications in multimedia. However, compression and simplification processes inevitably result in the loss of quality-aware information under storage and bandwidth…

Computer Vision and Pattern Recognition · Computer Science 2023-10-27 Zicheng Zhang , Yingjie Zhou , Wei Sun , Xiongkuo Min , Guangtao Zhai

In this paper, we propose a reduced reference (RR) point cloud quality assessment (PCQA) model named R-PCQA to quantify the distortions introduced by the lossy compression. Specifically, we use the attribute and geometry quantization steps…

Image and Video Processing · Electrical Eng. & Systems 2023-01-04 Yipeng Liu , Qi Yang , Yiling Xu

In autonomous vehicles or robots, point clouds from LiDAR can provide accurate depth information of objects compared with 2D images, but they also suffer a large volume of data, which is inconvenient for data storage or transmission. In…

Robotics · Computer Science 2021-09-17 Sukai Wang , Jianhao Jiao , Peide Cai , Ming Liu

Point cloud data is pivotal in applications like autonomous driving, virtual reality, and robotics. However, its substantial volume poses significant challenges in storage and transmission. In order to obtain a high compression ratio,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Xie Liang , Gao Wei , Zhenghui Ming , Li Ge

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

Three-dimensional object recognition has recently achieved great progress thanks to the development of effective point cloud-based learning frameworks, such as PointNet and its extensions. However, existing methods rely heavily on fully…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Weikai Chen , Xiaoguang Han , Guanbin Li , Chao Chen , Jun Xing , Yajie Zhao , Hao Li

The Radial Point Interpolation Mixed Collocation (RPIMC) method is proposed in this paper for transient analysis of diffusion problems. RPIMC is an efficient purely meshless method where the solution of the field variable is obtained…

Computational Engineering, Finance, and Science · Computer Science 2021-10-14 Konstantinos A. Mountris , Esther Pueyo

Full-reference point cloud quality assessment (FR-PCQA) aims to infer the quality of distorted point clouds with available references. Most of the existing FR-PCQA metrics ignore the fact that the human visual system (HVS) dynamically…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Yujie Zhang , Qi Yang , Yiling Xu , Shan Liu

Preserving details in restoring images highly corrupted by impulse noise remains a challenging problem. We proposed an algorithm based on radial basis functions (RBF) interpolation which estimates the intensities of corrupted pixels by…

Multimedia · Computer Science 2017-02-17 Fariborz Taherkhani , Mansour Jamzad

We propose the GraphSIM -- an objective metric to accurately predict the subjective quality of point cloud with superimposed geometry and color impairments. Motivated by the facts that human vision system is more sensitive to the high…

Image and Video Processing · Electrical Eng. & Systems 2020-12-23 Qi Yang , Zhan Ma , Yiling Xu , Zhu Li , Jun Sun

The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geographical data would worsen the quality of big datasets. To…

Numerical Analysis · Mathematics 2020-02-21 Kaifeng Gao , Gang Mei , Salvatore Cuomo , Francesco Piccialli , Nengxiong Xu

In this article we present a modification of classical Radial Basis Function (RBF) interpolation techniques aimed at reducing oscillations near discontinuities in one and two dimensions. Our approach introduces an adaptive mechanism by…

Numerical Analysis · Mathematics 2026-03-25 José Kuruc , David Levin , Pep Mulet , Juan Ruiz-Álvarez , Dionisio F. Yáñez

Point clouds denote a prominent solution for the representation of 3D photo-realistic content in immersive applications. Similarly to other imaging modalities, quality predictions for point cloud contents are vital for a wide range of…

Multimedia · Computer Science 2024-08-14 Evangelos Alexiou , Xuemei Zhou , Irene Viola , Pablo Cesar

Diffusion models are a powerful framework for tackling ill-posed problems, with recent advancements extending their use to point cloud upsampling. Despite their potential, existing diffusion models struggle with inefficiencies as they map…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Zhi-Song Liu , Chenhang He , Lei Li

Point cloud segmentation is the foundation of 3D environmental perception for modern intelligent systems. To solve this problem and image segmentation, conditional random fields (CRFs) are usually formulated as discrete models in label…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Fei Yang , Franck Davoine , Huan Wang , Zhong Jin

The Partition of Unity (PU) method, performed with local Radial Basis Function (RBF) approximants, has been proved to be an effective tool for solving large scattered data interpolation problems. However, in order to achieve a good…

Numerical Analysis · Mathematics 2017-03-14 Roberto Cavoretto , Alessandra De Rossi , Emma Perracchione

Point clouds are essential for storage and transmission of 3D content. As they can entail significant volumes of data, point cloud compression is crucial for practical usage. Recently, point cloud geometry compression approaches based on…

Computer Vision and Pattern Recognition · Computer Science 2021-02-26 Maurice Quach , Aladine Chetouani , Giuseppe Valenzise , Frederic Dufaux
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