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In the field of gestural action recognition, many studies have focused on dimensionality reduction along the spatial axis, to reduce both the variability of gestural sequences expressed in the reduced space, and the computational complexity…

Machine Learning · Computer Science 2014-09-18 Pierre-François Marteau , Sylvie Gibet , Clement Reverdy

In this paper, we propose a novel method for joint recovery of camera pose, object geometry and spatially-varying Bidirectional Reflectance Distribution Function (svBRDF) of 3D scenes that exceed object-scale and hence cannot be captured…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Carolin Schmitt , Božidar Antić , Andrei Neculai , Joo Ho Lee , Andreas Geiger

We present an amelioration of current known algorithms for optimal spectral partitioning problems. The idea is to use the advantage of a representation using density functions while decreasing the computational time. This is done by…

Optimization and Control · Mathematics 2017-05-25 Beniamin Bogosel

Geometric rectification of images of distorted documents finds wide applications in document digitization and Optical Character Recognition (OCR). Although smoothly curved deformations have been widely investigated by many works, the most…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Dong Luo , Pengbo Bo

A common approach to compute distances on continuous surfaces is by considering a discretized polygonal mesh approximating the surface and estimating distances on the polygon. We show that exact geodesic distances restricted to the polygon…

Image and Video Processing · Electrical Eng. & Systems 2026-02-27 Saar Huberman , Amit Bracha , Ron Kimmel

In this work, the problem of shape optimization, subject to PDE constraints, is reformulated as an $L^p$ best approximation problem under divergence constraints to the shape tensor introduced in Laurain and Sturm: ESAIM Math. Model. Numer.…

Numerical Analysis · Mathematics 2024-04-02 Gerhard Starke

We present an end-to-end system for reconstructing complete watertight and textured models of moving subjects such as clothed humans and animals, using only three or four handheld sensors. The heart of our framework is a new pairwise…

Computer Vision and Pattern Recognition · Computer Science 2016-04-12 Ruizhe Wang , Lingyu Wei , Etienne Vouga , Qixing Huang , Duygu Ceylan , Gerard Medioni , Hao Li

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

We propose a new algorithm to approximate the Earth Mover's distance (EMD). Our main idea is motivated by the theory of optimal transport, in which EMD can be reformulated as a familiar $L_1$ type minimization. We use a regularization which…

Numerical Analysis · Mathematics 2016-12-15 Wuchen Li , Stanley Osher , Wilfrid Gangbo

This thesis deals with shape optimization for contact mechanics. More specifically, the linear elasticity model is considered under the small deformations hypothesis, and the elastic body is assumed to be in contact (sliding or with Tresca…

Optimization and Control · Mathematics 2022-08-30 Bastien Chaudet-Dumas

With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D solid manifolds plays an important role in processing 3D…

Computational Geometry · Computer Science 2025-06-23 Zhiyuan Lyu , Qiguang Chen , Gary P. T. Choi , Lok Ming Lui

Registration, which aims to find an optimal one-to-one correspondence between different data, is an important problem in various fields. This problem is especially challenging when large deformations occur. In this paper, we present a novel…

Differential Geometry · Mathematics 2013-10-08 Lam Ka Chun , Lok Ming Lui

3-D image registration, which involves aligning two or more images, is a critical step in a variety of medical applications from diagnosis to therapy. Image registration is commonly performed by optimizing an image matching metric as a cost…

Computer Vision and Pattern Recognition · Computer Science 2016-12-01 Rui Liao , Shun Miao , Pierre de Tournemire , Sasa Grbic , Ali Kamen , Tommaso Mansi , Dorin Comaniciu

Objective: Deformable image registration is a fundamental problem in medical image analysis, with applications such as longitudinal studies, population modeling, and atlas based image segmentation. Registration is often phrased as an…

Computer Vision and Pattern Recognition · Computer Science 2018-10-22 Simon Ekström , Filip Malmberg , Håkan Ahlström , Joel Kullberg , Robin Strand

We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image. To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Xiaowei Zhou , Spyridon Leonardos , Xiaoyan Hu , Kostas Daniilidis

3D Morphable Models (3DMMs) provide promising 3D face reconstructions in various applications. However, existing methods struggle to reconstruct faces with extreme expressions due to deficiencies in supervisory signals, such as sparse or…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zidu Wang , Xiangyu Zhu , Tianshuo Zhang , Baiqin Wang , Zhen Lei

In shape optimisation it is desirable to obtain deformations of a given mesh without negative impact on the mesh quality. We propose a new algorithm using least square formulations of the Cauchy-Riemann equations. Our method allows to…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Kevin Sturm , Florian Wechsung

We present a fast algorithm for global rigid symmetry detection with approximation guarantees. The algorithm is guaranteed to find the best approximate symmetry of a given shape, to within a user-specified threshold, with very high…

Computational Geometry · Computer Science 2016-09-20 Simon Korman , Roee Litman , Shai Avidan , Alex Bronstein

Non-rigid 3D registration, which deforms a source 3D shape in a non-rigid way to align with a target 3D shape, is a classical problem in computer vision. Such problems can be challenging because of imperfect data (noise, outliers and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-21 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang
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