Search Results - "Lai, Rongjie"

A Splitting Method for Orthogonality Constrained Problems by Lai, Rongjie, Osher, Stanley

“…Orthogonality constrained problems are widely used in science and engineering. However, it is challenging to solve these problems efficiently due to the…”
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Compressed modes for variational problems in mathematics and physics by Ozoliņš, Vidvuds, Lai, Rongjie, Caflisch, Russel, Osher, Stanley

“…This article describes a general formalism for obtaining spatially localized (“sparse”) solutions to a class of problems in mathematical physics, which can be…”
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Efficient Algorithm for Level Set Method Preserving Distance Function by Estellers, V., Zosso, D., Rongjie Lai, Osher, S., Thiran, J., Bresson, X.

“…The level set method is a popular technique for tracking moving interfaces in several disciplines, including computer vision and fluid dynamics. However,…”
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Compressed plane waves yield a compactly supported multiresolution basis for the Laplace operator by Ozoliņš, Vidvuds, Lai, Rongjie, Caflisch, Russel, Osher, Stanley

“…This paper describes an L1 regularized variational framework for developing a spatially localized basis, compressed plane waves, that spans the eigenspace of a…”
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Adaptive Directional Total-Variation Model for Latent Fingerprint Segmentation by Jiangyang Zhang, Lai, R., Kuo, C. J.

“…A new image decomposition scheme, called the adaptive directional total variation (ADTV) model, is proposed to achieve effective segmentation and enhancement…”
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Cortical Surface Reconstruction via Unified Reeb Analysis of Geometric and Topological Outliers in Magnetic Resonance Images by Yonggang Shi, Rongjie Lai, Toga, A. W.

“…In this paper we present a novel system for the automated reconstruction of cortical surfaces from T1-weighted magnetic resonance images. At the core of our…”
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Folding-Free Global Conformal Mapping for Genus-0 Surfaces by Harmonic Energy Minimization by Lai, Rongjie, Wen, Zaiwen, Yin, Wotao, Gu, Xianfeng, Lui, Lok Ming

“…Surface conformal maps between genus-0 surfaces play important roles in applied mathematics and engineering, with applications in medical image analysis and…”
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Robust Surface Reconstruction via Laplace-Beltrami Eigen-Projection and Boundary Deformation by Yonggang Shi, Rongjie Lai, Morra, Jonathan H, Dinov, Ivo, Thompson, P M, Toga, Arthur W

“…In medical shape analysis, a critical problem is reconstructing a smooth surface of correct topology from a binary mask that typically has spurious features…”
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Geometric understanding of point clouds using Laplace-Beltrami operator by Jian Liang, Rongjie Lai, Tsz Wai Wong, Hongkai Zhao

“…In this paper, we propose a general framework for approximating differential operator directly on point clouds and use it for geometric understanding on them…”
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Latent fingerprint detection and segmentation with a directional total variation model by Jiangyang Zhang, Rongjie Lai, Kuo, C.-J J.

“…Latent fingerprint detection and segmentation play a critical role in image forensics for law enforcement. Being collected from crime scenes, a latent…”
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A Data‐Driven Approach to Functional Map Construction and Bases Pursuit by Azencot, Omri, Lai, Rongjie

“…We propose a method to simultaneously compute scalar basis functions with an associated functional map for a given pair of triangle meshes. Unlike previous…”
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Laplace-Beltrami nodal counts: A new signature for 3D shape analysis by Rongjie Lai, Yonggang Shi, Dinov, I., Chan, T.F., Toga, A.W.

“…In this paper we develop a new approach of analyzing 3D shapes based on the eigen-system of the Laplace-Beltrami operator. While the eigenvalues of the…”
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Low-rank matrix completion in a general non-orthogonal basis by Tasissa, Abiy, Lai, Rongjie

“…This paper considers theoretical analysis of recovering a low rank matrix given a few expansion coefficients with respect to any basis. The current approach…”
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Automated corpus callosum extraction via Laplace-Beltrami nodal parcellation and intrinsic geodesic curvature flows on surfaces by Rongjie Lai, Yonggang Shi, Sicotte, N., Toga, A. W.

“…Corpus callosum (CC) is an important structure in human brain anatomy. In this work, we propose a fully automated and robust approach to extract corpus…”
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Metric-induced optimal embedding for intrinsic 3D shape analysis by Rongjie Lai, Yonggang Shi, Scheibel, Kevin, Fears, Scott, Woods, Roger, Toga, Arthur W, Chan, Tony F

“…For various 3D shape analysis tasks, the Laplace-Beltrami(LB) embedding has become increasingly popular as it enables the efficient comparison of shapes based…”
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Anisotropic Laplace-Beltrami eigenmaps: Bridging Reeb graphs and skeletons by Yonggang Shi, Rongjie Lai, Krishna, S., Sicotte, N., Dinov, I., Toga, A.W.

“…In this paper we propose a novel approach of computing skeletons of robust topology for simply connected surfaces with boundary by constructing Reeb graphs…”
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Exact Reconstruction of Euclidean Distance Geometry Problem Using Low-Rank Matrix Completion by Tasissa, Abiy, Lai, Rongjie

“…The Euclidean distance geometry problem arises in a wide variety of applications, from determining molecular conformations in computational chemistry to…”
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Manifold Based Low-Rank Regularization for Image Restoration and Semi-Supervised Learning by Lai, Rongjie, Li, Jia

“…Low-rank structures play important roles in recent advances of many problems in image science and data science. As a natural extension of low-rank structures…”
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Localized density matrix minimization and linear-scaling algorithms by Lai, Rongjie, Lu, Jianfeng

“…We propose a convex variational approach to compute localized density matrices for both zero temperature and finite temperature cases, by adding an entry-wise…”
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Computational mean-field games on manifolds by Yu, Jiajia, Lai, Rongjie, Li, Wuchen, Osher, Stanley

“…Conventional Mean-field games/control study the behavior of a large number of rational agents moving in Euclidean spaces. In this work, we explore the…”
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