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We propose a variational functional and fast algorithms to reconstruct implicit surface from point cloud data with a curvature constraint. The minimizing functional balances the distance function from the point cloud and the mean curvature…

Computer Vision and Pattern Recognition · Computer Science 2020-09-11 Yuchen He , Sung Ha Kang , Hao Liu

Several issues in machine learning and inverse problems require to generate discrete data, as if sampled from a model probability distribution. A common way to do so relies on the construction of a uniform probability distribution over a…

Optimization and Control · Mathematics 2021-06-16 Quentin Merigot , Filippo Santambrogio , Clément Sarrazin

Given an undirected graph $G$ of $n$ weighted edges, stored one edge per processor in a square mesh of $n$ processors, we show how to determine the connected components and a minimal spanning forest in $\Theta(\sqrt{n})$ time. More…

Data Structures and Algorithms · Computer Science 2015-02-06 Quentin F. Stout

Given an unordered array of $N$ elements drawn from a totally ordered set and an integer $k$ in the range from $1$ to $N$, in the classic selection problem the task is to find the $k$-th smallest element in the array. We study the…

Data Structures and Algorithms · Computer Science 2014-07-15 Amr Elmasry , Daniel Dahl Juhl , Jyrki Katajainen , Srinivasa Rao Satti

The retrieval problem is the problem of associating data with keys in a set. Formally, the data structure must store a function f: U ->{0,1}^r that has specified values on the elements of a given set S, a subset of U, |S|=n, but may have…

Data Structures and Algorithms · Computer Science 2008-03-27 Martin Dietzfelbinger , Rasmus Pagh

We describe algorithmic results for two crucial aspects of allocating resources on computational hardware devices with partial reconfigurability. By using methods from the field of computational geometry, we derive a method that allows…

Data Structures and Algorithms · Computer Science 2016-11-15 Ali Ahmadinia , Christophe Bobda , Sandor Fekete , Juergen Teich , Jan van der Veen

In point cloud compression, sufficient contexts are significant for modeling the point cloud distribution. However, the contexts gathered by the previous voxel-based methods decrease when handling sparse point clouds. To address this…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Chunyang Fu , Ge Li , Rui Song , Wei Gao , Shan Liu

Despite recent advances in architectures for mobile devices, deep learning computational requirements remains prohibitive for most embedded devices. To address that issue, we envision sharing the computational costs of inference between…

Machine Learning · Computer Science 2019-11-26 Juliano S. Assine , Alan Godoy , Eduardo Valle

Training and inference on edge devices often requires an efficient setup due to computational limitations. While pre-computing data representations and caching them on a server can mitigate extensive edge device computation, this leads to…

Computation and Language · Computer Science 2023-05-17 Ulf A. Hamster , Ji-Ung Lee , Alexander Geyken , Iryna Gurevych

We are interested in reconstructing the mesh representation of object surfaces from point clouds. Surface reconstruction is a prerequisite for downstream applications such as rendering, collision avoidance for planning, animation, etc.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Minghua Liu , Xiaoshuai Zhang , Hao Su

In this paper we present a scalable approach for robustly computing a 3D surface mesh from multi-scale multi-view stereo point clouds that can handle extreme jumps of point density (in our experiments three orders of magnitude). The…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Christian Mostegel , Rudolf Prettenthaler , Friedrich Fraundorfer , Horst Bischof

With the increased availability of 3D scanning technology, point clouds are moving into the focus of computer vision as a rich representation of everyday scenes. However, they are hard to handle for machine learning algorithms due to their…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Sergey Prokudin , Christoph Lassner , Javier Romero

Reducing computational complexity remains a critical challenge for the widespread adoption of learning-based image compression techniques. In this work, we propose TreeNet, a novel low-complexity image compression model that leverages a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Mahadev Prasad Panda , Purnachandra Rao Makkena , Srivatsa Prativadibhayankaram , Siegfried Fößel , André Kaup

This paper is dedicated to an efficient compression of weights and optimizer states (called checkpoints) obtained at different stages during a neural network training process. First, we propose a prediction-based compression approach, where…

Machine Learning · Computer Science 2025-06-16 Yuriy Kim , Evgeny Belyaev

We study 3D point cloud attribute compression using a volumetric approach: given a target volumetric attribute function $f : \mathbb{R}^3 \rightarrow \mathbb{R}$, we quantize and encode parameter vector $\theta$ that characterizes $f$ at…

Signal Processing · Electrical Eng. & Systems 2023-04-04 Tam Thuc Do , Philip A. Chou , Gene Cheung

We present a novel deep compression algorithm to reduce the memory footprint of LiDAR point clouds. Our method exploits the sparsity and structural redundancy between points to reduce the bitrate. Towards this goal, we first encode the…

Image and Video Processing · Electrical Eng. & Systems 2021-01-12 Lila Huang , Shenlong Wang , Kelvin Wong , Jerry Liu , Raquel Urtasun

We propose a new paradigm for encoding the geometry of point cloud sequences, where the convolutional neural network (CNN) which estimates the encoding distributions is optimized on several frames of the sequence to be compressed. We adopt…

Computer Vision and Pattern Recognition · Computer Science 2022-06-06 Emre Can Kaya , Ioan Tabus

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

Mesh plays an indispensable role in dense real-time reconstruction essential in robotics. Efforts have been made to maintain flexible data structures for 3D data fusion, yet an efficient incremental framework specifically designed for…

Robotics · Computer Science 2018-03-13 Wei Dong , Jieqi Shi , Weijie Tang , Xin Wang , Hongbin Zha

We introduce a new distance-preserving compact representation of multi-dimensional point-sets. Given $n$ points in a $d$-dimensional space where each coordinate is represented using $B$ bits (i.e., $dB$ bits per point), it produces a…

Data Structures and Algorithms · Computer Science 2017-11-07 Piotr Indyk , Ilya Razenshteyn , Tal Wagner