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In this paper, we present a surface remeshing method with high approximation quality based on Principal Component Analysis. Given a triangular mesh and a user assigned polygon/vertex budget, traditional methods usually require the extra…

Graphics · Computer Science 2018-04-10 Yiqi Cai , Xiaohu Guo , Yang Liu , Wenping Wang , Weihua Mao , Zichun Zhong

The JPEG algorithm is a defacto standard for image compression. We investigate whether adaptive mesh refinement can be used to optimize the compression ratio and propose a new adaptive image compression algorithm. We prove that it produces…

Numerical Analysis · Mathematics 2023-04-05 Michael Feischl , Hubert Hackl

We propose a new approach for controlling the characteristics of certain mesh faces during optimization of high-order curved meshes. The practical goals are tangential relaxation along initially aligned curved boundaries and internal…

Numerical Analysis · Mathematics 2021-05-27 Patrick Knupp , Tzanio Kolev , Ketan Mittal , Vladimir Z. Tomov

Model compression techniques allow to significantly reduce the computational cost associated with data processing by deep neural networks with only a minor decrease in average accuracy. Simultaneously, reducing the model size may have a…

Machine Learning · Computer Science 2021-09-28 Sebastian Cygert , Andrzej Czyżewski

Lossy compression algorithms are typically designed to achieve the lowest possible distortion at a given bit rate. However, recent studies show that pursuing high perceptual quality would lead to increase of the lowest achievable distortion…

Information Theory · Computer Science 2021-06-15 Zeyu Yan , Fei Wen , Rendong Ying , Chao Ma , Peilin Liu

In the industrial practice, additive manufacturing processes are often followed by post-processing operations such as subtractive machining, milling, etc. to achieve the desired surface quality and dimensional accuracy. Hence, a given part…

Computational Engineering, Finance, and Science · Computer Science 2019-07-04 Christian Altenhofen , Marco Attene , Oliver Barrowclough , Michele Chiumenti , Marco Livesu , Federico Marini , Massimiliano Martinelli , Vibeke Skytt , Lorenzo Tamellini

End-to-end trainable models have reached the performance of traditional handcrafted compression techniques on videos and images. Since the parameters of these models are learned over large training sets, they are not optimal for any given…

Image and Video Processing · Electrical Eng. & Systems 2022-10-12 Oussama Jourairi , Muhammet Balcilar , Anne Lambert , François Schnitzler

The continuous advancement of photorealism in rendering is accompanied by a growth in texture data and, consequently, increasing storage and memory demands. To address this issue, we propose a novel neural compression technique specifically…

For the numerical solution of shape optimization problems, particularly those constrained by partial differential equations (PDEs), the quality of the underlying mesh is of utmost importance. Particularly when investigating complex…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser

We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of…

Numerical Analysis · Mathematics 2017-06-13 A. Paganini , F. Wechsung , P. E. Farrell

For scalable coding, a high quality of the lowpass band of a wavelet transform is crucial when it is used as a downscaled version of the original signal. However, blur and motion can lead to disturbing artifacts. By incorporating feasible…

Image and Video Processing · Electrical Eng. & Systems 2022-12-09 Wolfgang Schnurrer , Thomas Richter , Jürgen Seiler , Christian Herglotz , André Kaup

The compression of real-world scanned 3D human dynamic meshes is an emerging research area, driven by applications such as telepresence, virtual reality, and 3D digital streaming. Unlike synthesized dynamic meshes with fixed topology,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Huong Hoang , Truong Nguyen , Pamela Cosman

The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on mathematical theory of convex geometry. In our approach we represent a 3D…

Computational Geometry · Computer Science 2013-08-13 Rafik Aramyan , Gagik Mkrtchyan , Arman Karapetyan

Herein, security of deep neural network against adversarial attack is considered. Existing compressive sensing based defence schemes assume that adversarial perturbations are usually on high frequency components, whereas recently it has…

Image and Video Processing · Electrical Eng. & Systems 2021-10-12 Akash Kumar Gupta , Arpan Chattopadhyay , Darpan Kumar Yadav

3D Gaussian Splatting (3DGS) has recently emerged as a promising 3D representation. Much research has been focused on reducing its storage requirements and memory footprint. However, the needs to compress and transmit the 3DGS…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Yu-Ting Zhan , Cheng-Yuan Ho , Hebi Yang , Yi-Hsin Chen , Jui Chiu Chiang , Yu-Lun Liu , Wen-Hsiao Peng

As an important metric for mesh quality evaluation, the isotropy property holds significant value for applications such as texture UV-mapping, physical simulation, and discrete geometric analysis. Classical isotropy remeshing methods adjust…

Computational Geometry · Computer Science 2025-08-05 Hanbing Zheng , Chenlei Lv

Visual data compression is shifting from human-centered reconstruction to machine-oriented representation coding. In this setting, an image is often mapped to a compact semantic embedding, which is then compressed and transmitted for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-30 Andriy Enttsel , Vincent Corlay

3D Gaussian Splatting (3DGS) achieves impressive rendering fidelity and speed for novel view synthesis. However, its substantial data size poses a significant challenge for practical applications. While many compression techniques have been…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Yihang Chen , Mengyao Li , Qianyi Wu , Weiyao Lin , Mehrtash Harandi , Jianfei Cai

In this work we propose a method for optimizing the lossy compression for a network of diverse reconstruction systems. We focus on adapting a standard image compression method to a set of candidate displays, presenting the decompressed…

Multimedia · Computer Science 2018-02-13 Yehuda Dar , Michael Elad , Alfred M. Bruckstein

Localizing an image wrt. a 3D scene model represents a core task for many computer vision applications. An increasing number of real-world applications of visual localization on mobile devices, e.g., Augmented Reality or autonomous robots…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Federico Camposeco , Andrea Cohen , Marc Pollefeys , Torsten Sattler