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We introduce the tensor numerical method for solving optimal control problems that are constrained by fractional 2D and 3D elliptic operators with variable coefficients. We solve the governing equation for the control function which…

数值分析 · 数学 2020-07-07 Britta Schmitt , Boris N. Khoromskij , Venera Khoromskaia , Volker Schulz

We present a new end-to-end network architecture for facial expression recognition with an attention model. It focuses attention in the human face and uses a Gaussian space representation for expression recognition. We devise this…

计算机视觉与模式识别 · 计算机科学 2019-02-12 Pedro D. Marrero Fernandez , Fidel A. Guerrero Peña , Tsang Ing Ren , Alexandre Cunha

Facial expression generation is one of the most challenging and long-sought aspects of character animation, with many interesting applications. The challenging task, traditionally having relied heavily on digital craftspersons, remains yet…

计算机视觉与模式识别 · 计算机科学 2024-04-16 Kaifeng Zou , Sylvain Faisan , Boyang Yu , Sébastien Valette , Hyewon Seo

This paper presents a framework that combines traditional keypoint-based camera pose optimization with an invertible neural rendering mechanism. Our proposed 3D scene representation, Nerfels, is locally dense yet globally sparse. As opposed…

计算机视觉与模式识别 · 计算机科学 2022-06-07 Gil Avraham , Julian Straub , Tianwei Shen , Tsun-Yi Yang , Hugo Germain , Chris Sweeney , Vasileios Balntas , David Novotny , Daniel DeTone , Richard Newcombe

Tensor decomposition is an effective tool for learning multi-way structures and heterogeneous features from high-dimensional data, such as the multi-view images and multichannel electroencephalography (EEG) signals, are often represented by…

机器学习 · 计算机科学 2022-06-29 Wanguang Yin , Youzhi Qu , Zhengming Ma , Quanying Liu

We propose a novel recurrent encoder-decoder network model for real-time video-based face alignment. Our proposed model predicts 2D facial point maps regularized by a regression loss, while uniquely exploiting recurrent learning at both…

计算机视觉与模式识别 · 计算机科学 2016-08-24 Xi Peng , Rogerio S. Feris , Xiaoyu Wang , Dimitris N. Metaxas

We present TensoRF, a novel approach to model and reconstruct radiance fields. Unlike NeRF that purely uses MLPs, we model the radiance field of a scene as a 4D tensor, which represents a 3D voxel grid with per-voxel multi-channel features.…

计算机视觉与模式识别 · 计算机科学 2022-11-30 Anpei Chen , Zexiang Xu , Andreas Geiger , Jingyi Yu , Hao Su

It is well known that popular optimization techniques can lead to overfitting or even a lack of convergence altogether; thus, practitioners often utilize ad hoc regularization terms added to the energy functional. When carefully crafted,…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Michael Bao , David Hyde , Xinru Hua , Ronald Fedkiw

In this paper, we propose an algorithm that allows joint refinement of camera pose and scene geometry represented by decomposed low-rank tensor, using only 2D images as supervision. First, we conduct a pilot study based on a 1D signal and…

计算机视觉与模式识别 · 计算机科学 2024-02-21 Bo-Yu Cheng , Wei-Chen Chiu , Yu-Lun Liu

Facial alignment involves finding a set of landmark points on an image with a known semantic meaning. However, this semantic meaning of landmark points is often lost in 2D approaches where landmarks are either moved to visible boundaries or…

计算机视觉与模式识别 · 计算机科学 2017-09-11 Chandrasekhar Bhagavatula , Chenchen Zhu , Khoa Luu , Marios Savvides

Responsive and accurate facial expression recognition is crucial to human-robot interaction for daily service robots. Nowadays, event cameras are becoming more widely adopted as they surpass RGB cameras in capturing facial expression…

计算机视觉与模式识别 · 计算机科学 2025-12-11 Zhe Wang , Qijin Song , Yucen Peng , Weibang Bai

Face alignment algorithms locate a set of landmark points in images of faces taken in unrestricted situations. State-of-the-art approaches typically fail or lose accuracy in the presence of occlusions, strong deformations, large pose…

计算机视觉与模式识别 · 计算机科学 2019-12-16 Roberto Valle , José M. Buenaposada , Antonio Valdés , Luis Baumela

Despite recent advances in facial recognition, there remains a fundamental issue concerning degradations in performance due to substantial perspective (pose) differences between enrollment and query (probe) imagery. Therefore, we propose a…

计算机视觉与模式识别 · 计算机科学 2025-05-15 J. Brennan Peace , Shuowen Hu , Benjamin S. Riggan

Accurate representations of 3D faces are of paramount importance in various computer vision and graphics applications. However, the challenges persist due to the limitations imposed by data discretization and model linearity, which hinder…

计算机视觉与模式识别 · 计算机科学 2024-10-14 Mingwu Zheng , Haiyu Zhang , Hongyu Yang , Liming Chen , Di Huang

Non-Euclidean data is frequently encountered across different fields, yet there is limited literature that addresses the fundamental challenge of training neural networks with manifold representations as outputs. We introduce the trick…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Tongtong Zhang , Xian Wei , Yuanxiang Li

The muscle synergy concept provides the best framework to understand motor control and it has been recently utilised in many applications such as prosthesis control. The current muscle synergy model relies on decomposing multi-channel…

信号处理 · 电气工程与系统科学 2020-07-07 Ahmed Ebied , Loukianos Spyrou , Eli Kinney-Lang , Javier Escudero

In this paper, we present a novel strategy to design disentangled 3D face shape representation. Specifically, a given 3D face shape is decomposed into identity part and expression part, which are both encoded and decoded in a nonlinear way.…

计算机视觉与模式识别 · 计算机科学 2019-03-05 Zi-Hang Jiang , Qianyi Wu , Keyu Chen , Juyong Zhang

Neural network based algorithms has shown success in many applications. In image processing, Convolutional Neural Networks (CNN) can be trained to categorize facial expressions of images of human faces. In this work, we create a system that…

计算机视觉与模式识别 · 计算机科学 2020-12-29 Qinchen Wang , Sixuan Wu , Tingfeng Xia

Recent advances in 3D facial expression reconstruction have demonstrated remarkable performance in capturing macro-expressions, yet the reconstruction of micro-expressions remains unexplored. This novel task is particularly challenging due…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Che Sun , Xinjie Zhang , Rui Gao , Xu Chen , Yuwei Wu , Yunde Jia

The recent low-rank prior based models solve the tensor completion problem efficiently. However, these models fail to exploit the local patterns of tensors, which compromises the performance of tensor completion. In this paper, we propose a…

数值分析 · 数学 2021-04-13 Liyu Su