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The alignment of shapes has been a crucial step in statistical shape analysis, for example, in calculating mean shape, detecting locational differences between two shape populations, and classification. Procrustes alignment is the most…

Methodology · Statistics 2025-01-06 Mohsen Taheri , Jörn Schulz

Polyhedral meshes (PM) - meshes having planar faces - have enjoyed a rise in popularity in recent years due to their importance in architectural and industrial design. However, they are also notoriously difficult to generate and manipulate.…

Graphics · Computer Science 2013-03-19 Roi Poranne , Renjie Chen , Craig Gotsman

The common graph Laplacian regularizer is well-established in semi-supervised learning and spectral dimensionality reduction. However, as a first-order regularizer, it can lead to degenerate functions in high-dimensional manifolds. The…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Kwang In Kim , James Tompkin , Hanspeter Pfister , Christian Theobalt

Localized patterns are coherent structures embedded in a quiescent state and occur in both discrete and continuous media across a wide range of applications. While it is well-understood how domain covering patterns (for example stripes and…

Pattern Formation and Solitons · Physics 2025-03-19 Jason J. Bramburger , Dan J. Hill , David J. B. Lloyd

In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering. We present a local resolution analysis and show that the…

Analysis of PDEs · Mathematics 2021-08-17 Habib Ammari , Yat Tin Chow , Hongyu Liu

Shape priors learned from data are commonly used to reconstruct 3D objects from partial or noisy data. Yet no such shape priors are available for indoor scenes, since typical 3D autoencoders cannot handle their scale, complexity, or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Chiyu Max Jiang , Avneesh Sud , Ameesh Makadia , Jingwei Huang , Matthias Nießner , Thomas Funkhouser

We present a novel method to generate accurate and realistic clothing deformation from real data capture. Previous methods for realistic cloth modeling mainly rely on intensive computation of physics-based simulation (with numerous…

Computer Vision and Pattern Recognition · Computer Science 2018-08-13 Zorah Laehner , Daniel Cremers , Tony Tung

This paper proposes a novel maneuvering technique for the complex-Laplacian-based formation control. We show how to modify the original weights that build the Laplacian such that a designed steady-state motion of the desired shape emerges…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Hector Garcia de Marina

Learning 3D shape representation with dense correspondence for deformable objects is a fundamental problem in computer vision. Existing approaches often need additional annotations of specific semantic domain, e.g., skeleton poses for human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Baowen Zhang , Jiahe Li , Xiaoming Deng , Yinda Zhang , Cuixia Ma , Hongan Wang

Image inpainting has achieved remarkable progress and inspired abundant methods, where the critical bottleneck is identified as how to fulfill the high-frequency structure and low-frequency texture information on the masked regions with…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Haipeng Liu , Yang Wang , Meng Wang , Yong Rui

We present a robust method to find region-level correspondences between shapes, which are invariant to changes in geometry and applicable across multiple shape representations. We generate simplified shape graphs by jointly decomposing the…

Graphics · Computer Science 2018-03-06 Yanir Kleiman , Maks Ovsjanikov

In this work, we propose a detailed computational framework for modelling the envelope of the swept volume, that is the boundary of the volume obtained by sweeping an input solid along a trajectory of rigid motions. Our framework is adapted…

Computational Geometry · Computer Science 2013-06-03 Bharat Adsul , Jinesh Machchhar , Milind Sohoni

We introduce a deep appearance model for rendering the human face. Inspired by Active Appearance Models, we develop a data-driven rendering pipeline that learns a joint representation of facial geometry and appearance from a multiview…

Graphics · Computer Science 2018-08-02 Stephen Lombardi , Jason Saragih , Tomas Simon , Yaser Sheikh

The availability of affordable and portable depth sensors has made scanning objects and people simpler than ever. However, dealing with occlusions and missing parts is still a significant challenge. The problem of reconstructing a (possibly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Or Litany , Alex Bronstein , Michael Bronstein , Ameesh Makadia

Learning to model and reconstruct humans in clothing is challenging due to articulation, non-rigid deformation, and varying clothing types and topologies. To enable learning, the choice of representation is the key. Recent work uses neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-16 Qianli Ma , Shunsuke Saito , Jinlong Yang , Siyu Tang , Michael J. Black

We develop a method for optimization in shape spaces, i.e., sets of surfaces modulo re-parametrization. Unlike previously proposed gradient flows, we achieve superlinear convergence rates through a subtle approximation of the shape Hessian,…

Computer Vision and Pattern Recognition · Computer Science 2014-04-15 J. Balzer , S. Soatto

Pose-guided person image generation is to transform a source person image to a target pose. This task requires spatial manipulations of source data. However, Convolutional Neural Networks are limited by the lack of ability to spatially…

Computer Vision and Pattern Recognition · Computer Science 2020-03-19 Yurui Ren , Xiaoming Yu , Junming Chen , Thomas H. Li , Ge Li

This paper introduces a new method to stylize 3D geometry. The key observation is that the surface normal is an effective instrument to capture different geometric styles. Centered around this observation, we cast stylization as a shape…

Graphics · Computer Science 2021-07-13 Hsueh-Ti Derek Liu , Alec Jacobson

Generative models that produce point clouds have emerged as a powerful tool to represent 3D surfaces, and the best current ones rely on learning an ensemble of parametric representations. Unfortunately, they offer no control over the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-27 Jan Bednarik , Shaifali Parashar , Erhan Gundogdu , Mathieu Salzmann , Pascal Fua

Swarm robotics promises adaptability to unknown situations and robustness against failures. However, it still struggles with global tasks that require understanding the broader context in which the robots operate, such as identifying the…