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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…

Numerical Analysis · Mathematics 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Machine Learning · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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.…

Computer Vision and Pattern Recognition · Computer Science 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,…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Signal Processing · Electrical Eng. & Systems 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.…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Computer Vision and Pattern Recognition · Computer Science 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…

Numerical Analysis · Mathematics 2021-04-13 Liyu Su