Level set methods in image science. - Yen-Hsi Tsai; Stanley J. Osher (ICIP (2), 2003)

Estimation of 3D Surface Shape and Smooth Radiance from 2D Images: A Level Set Approach. - Hailin Jin; Anthony J. Yezzi; Yen-Hsi Tsai; Li-Tien Cheng; Stefano Soatto (J. Sci. Comput., 2003)

A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. - Yen-Hsi Richard Tsai; Yoshikazu Giga; Stanley J. Osher (Math. Comput., 2003)

Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations. - Yen-Hsi Richard Tsai; Li-Tien Cheng; Stanley J. Osher; Hong-Kai Zhao (SIAM J. Numer. Anal., 2003)

Threshold dynamics for shape reconstruction and disocclusion. - Selim Esedoglu; Steven J. Ruuth; Richard Tsai 001 (ICIP (2), 2005)

Heterogeneous multiscale methods for stiff ordinary differential equations. - Björn Engquist; Yen-Hsi Tsai (Math. Comput., 2005)

Fast Sweeping Methods for Static Hamilton-Jacobi Equations. - Chiu-Yen Kao; Stanley J. Osher; Yen-Hsi Tsai (SIAM J. Numer. Anal., 2005)

Visibility of Point Clouds and Mapping of Unknown Environments. - Yanina Landa; Richard Tsai 001; Li-Tien Cheng (ACIVS, 2006)

Robotic Path Planning and Visibility with Limited Sensor Data. - Yanina Landa; David Galkowski; Yuan R. Huang; Abhijeet Joshi; Christine Lee; Kevin K. Leung; Gitendra Malla; Jennifer Treanor; Vlad Voroninski; Andrea L. Bertozzi; Yen-Hsi Richard Tsai (ACC, 2007)

Discovering a Point Source in Unknown Environments. - Martin Burger 001; Yanina Landa; Nicolay M. Tanushev; Richard Tsai 001 (WAFR, 2008)

Redistancing by flow of time dependent eikonal equation. - Li-Tien Cheng; Yen-Hsi Tsai (J. Comput. Phys., 2008)

Properties of a Level Set Algorithm for the Visibility Problems. - Chiu-Yen Kao; Richard Tsai 001 (J. Sci. Comput., 2008)

Numerical Multiscale Methods for Coupled Oscillators. - Gil Ariel; Björn Engquist; Richard Tsai 001 (Multiscale Model. Simul., 2008)

Gaussian beam decomposition of high frequency wave fields. - Nicolay M. Tanushev; Björn Engquist; Richard Tsai 001 (J. Comput. Phys., 2009)

A multiscale method for highly oscillatory ordinary differential equations with resonance. - Gil Ariel; Björn Engquist; Richard Tsai 001 (Math. Comput., 2009)

A practical path-planning algorithm for a simple car: a Hamilton-Jacobi approach. - Ryo Takei; Richard Tsai 001; Haochong Shen; Yanina Landa (ACC, 2010)

Diffusion generated motion using signed distance functions. - Selim Esedoglu; Steven J. Ruuth; Richard Tsai 001 (J. Comput. Phys., 2010)

A level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. - Dongming Wei; Shi Jin 003; Richard Tsai 001; Xu Yang 018 (J. Comput. Phys., 2010)

Gaussian beam decomposition of high frequency wave fields using expectation-maximization. - Gil Ariel; Björn Engquist; Nicolay M. Tanushev; Richard Tsai 001 (J. Comput. Phys., 2011)

Information gathering control via exploratory path planning. - Luca Valente; Yen-Hsi Richard Tsai; Stefano Soatto (CISS, 2012)

A Multiscale Technique for Finding Slow Manifolds of Stiff Mechanical Systems. - Gil Ariel; Jesús María Sanz-Serna; Richard Tsai 001 (Multiscale Model. Simul., 2012)

A Multiscale Method Coupling Network and Continuum Models in Porous Media I: Steady-State Single Phase Flow. - Jay Chu; Björn Engquist; Masa Prodanovic; Richard Tsai 001 (Multiscale Model. Simul., 2012)

Fast sweeping methods for hyperbolic systems of conservation laws at steady state. - Björn Engquist; Brittany D. Froese; Yen-Hsi Richard Tsai (J. Comput. Phys., 2013)

An implicit interface boundary integral method for Poisson's equation on arbitrary domains. - Catherine Kublik; Nicolay M. Tanushev; Richard Tsai 001 (J. Comput. Phys., 2013)

A Multiscale Method for Highly Oscillatory Dynamical Systems Using a Poincaré Map Type Technique. - Gil Ariel; Björn Engquist; S. Kim; Yoonsang Lee 002; Richard Tsai 001 (J. Sci. Comput., 2013)

Optimal Trajectories of Curvature Constrained Motion in the Hamilton-Jacobi Formulation. - Ryo Takei; Richard Tsai 001 (J. Sci. Comput., 2013)

Information-Seeking Control Under Visibility-Based Uncertainty. - Luca Valente; Yen-Hsi Richard Tsai; Stefano Soatto (J. Math. Imaging Vis., 2014)

Automated Polyp Detection in Colon Capsule Endoscopy. - Alexander V. Mamonov; Isabel N. Figueiredo; Pedro N. Figueiredo; Yen-Hsi Richard Tsai (IEEE Trans. Medical Imaging, 2014)

An Elastic Image Registration Approach for Wireless Capsule Endoscope Localization. - Isabel N. Figueiredo; Carlos F. Leal; Luís Pinto 002; Pedro N. Figueiredo; Richard Tsai 001 (CoRR, 2015)

Fast sweeping methods for hyperbolic systems of conservation laws at steady state II. - Björn Engquist; Brittany D. Froese; Yen-Hsi Richard Tsai (J. Comput. Phys., 2015)

A Level Set Approach Reflecting Sheet Structure with Single Auxiliary Function for Evolving Spirals on Crystal Surfaces. - Takeshi Ohtsuka; Yen-Hsi Richard Tsai; Yoshikazu Giga (J. Sci. Comput., 2015)

Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems. - Gil Ariel; Seong Jun Kim; Richard Tsai 001 (SIAM J. Sci. Comput., 2016)

Dissimilarity Measure of Consecutive Frames in Wireless Capsule Endoscopy Videos: A Way of Searching for Abnormalities. - Isabel N. Figueiredo; Carlos F. Leal; Luís Pinto 002; Pedro N. Figueiredo; Richard Tsai 001 (CBMS, 2017)

Hybrid multiscale affine and elastic image registration approach towards wireless capsule endoscope localization. - Isabel N. Figueiredo; Carlos F. Leal; Luís Pinto 002; Pedro N. Figueiredo; Richard Tsai 001 (Biomed. Signal Process. Control., 2018)

An implicit boundary integral method for computing electric potential of macromolecules in solvent. - Yimin Zhong; Kui Ren 002; Richard Tsai 001 (J. Comput. Phys., 2018)

An extrapolative approach to integration over hypersurfaces in the level set framework. - Catherine Kublik; Richard Tsai 001 (Math. Comput., 2018)

Strategy Synthesis for Surveillance-Evasion Games with Learning-Enabled Visibility Optimization. - Suda Bharadwaj; Louis Ly; Bo Wu 005; Richard Tsai 001; Ufuk Topcu (CDC, 2019)

Autonomous Exploration, Reconstruction, and Surveillance of 3D Environments Aided by Deep Learning. - Louis Ly; Yen-Hsi Richard Tsai (ICRA, 2019)

Unsupervised segmentation of colonic polyps in narrow-band imaging data based on manifold representation of images and Wasserstein distance. - Isabel N. Figueiredo; Luís Pinto 002; Pedro N. Figueiredo; Richard Tsai 001 (Biomed. Signal Process. Control., 2019)

Nearest Neighbor Sampling of Point Sets using Random Rays. - Liangchen Liu; Louis Ly; Colin B. Macdonald; Yen-Hsi Richard Tsai (CoRR, 2019)

Investigating the role of eye movements and physiological signals in search satisfaction prediction using geometric analysis. - Yingying Wu; Yiqun Liu 001; Yen-Hsi Richard Tsai; Shing-Tung Yau (J. Assoc. Inf. Sci. Technol., 2019)

A coupled grid based particle and implicit boundary integral method for two-phase flows with insoluble surfactant. - Shih-Hsuan Hsu; Jay Chu; Ming-Chih Lai; Richard Tsai 001 (J. Comput. Phys., 2019)

A Multiscale Domain Decomposition Algorithm for Boundary Value Problems for Eikonal Equations. - Lindsay Martin; Yen-Hsi Richard Tsai (Multiscale Model. Simul., 2019)

Erratum: A Multiscale Domain Decomposition Algorithm for Boundary Value Problems for Eikonal Equations. - Lindsay Martin; Yen-Hsi Richard Tsai (Multiscale Model. Simul., 2019)

Fast colonic polyp detection using a Hamilton-Jacobi approach to non-dominated sorting. - Isabel N. Figueiredo; Mahdi Dodangeh; Luís Pinto 002; Pedro N. Figueiredo; Richard Tsai 001 (Biomed. Signal Process. Control., 2020)

Visibility Optimization for Surveillance-Evasion Games. - Louis Ly; Yen-Hsi Richard Tsai (CoRR, 2020)

A stable parareal-like method for the second order wave equation. - Hieu Nguyen 006; Richard Tsai 001 (J. Comput. Phys., 2020)

Equivalent Extensions of Hamilton-Jacobi-Bellman Equations on Hypersurfaces. - Lindsay Martin; Yen-Hsi Richard Tsai (J. Sci. Comput., 2020)

Side-effects of Learning from Low Dimensional Data Embedded in an Euclidean Space. - Juncai He; Richard Tsai 001; Rachel A. Ward (CoRR, 2022)

Convergence of a class of high order corrected trapezoidal rules. - Federico Izzo; Olof Runborg; Richard Tsai 001 (CoRR, 2022)

Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation. - Federico Izzo; Yimin Zhong; Olof Runborg; Richard Tsai 001 (CoRR, 2022)

Corrected trapezoidal rules for singular implicit boundary integrals. - Federico Izzo; Olof Runborg; Richard Tsai 001 (J. Comput. Phys., 2022)

Linear Regression on Manifold Structured Data: the Impact of Extrinsic Geometry on Solutions. - Liangchen Liu; Juncai He; Yen-Hsi Tsai (TAG-ML, 2023)

Efficient and robust Sensor Placement in Complex Environments. - Lukas Taus; Yen-Hsi Richard Tsai (CoRR, 2023)

Error Analysis for the Implicit Boundary Integral Method. - Yimin Zhong; Kui Ren 002; Olof Runborg; Richard Tsai 001 (CoRR, 2023)

Numerical wave propagation aided by deep learning. - Hieu Nguyen 006; Richard Tsai 001 (J. Comput. Phys., 2023)

High-order corrected trapezoidal rules for a class of singular integrals. - Federico Izzo; Olof Runborg; Richard Tsai 001 (Adv. Comput. Math., 2023)

Efficient Numerical Wave Propagation Enhanced By An End-to-End Deep Learning Model. - Luis Kaiser; Richard Tsai 001; Christian Klingenberg (CoRR, 2024)

Data-induced multiscale losses and efficient multirate gradient descent schemes. - Juncai He; Liangchen Liu; Yen-Hsi Richard Tsai (CoRR, 2024)

Optimizing Sensor Network Design for Multiple Coverage. - Lukas Taus; Yen-Hsi Richard Tsai (CoRR, 2024)

Fast End-to-End Generation of Belief Space Paths for Minimum Sensing Navigation. - Lukas Taus; Vrushabh Zinage; Takashi Tanaka; Richard Tsai 001 (CoRR, 2024)

A minimizing movement approach for crystalline eikonal-curvature flows of spirals. - Takeshi Ohtsuka; Yen-Hsi Richard Tsai (CoRR, 2024)

A volumetric approach to Monge's optimal transport on surfaces. - Richard Tsai 001; Axel G. R. Turnquist (J. Comput. Phys., 2024)

Stabilization of parareal algorithms for long-time computation of a class of highly oscillatory Hamiltonian flows using data. - Rui Fang; Yen-Hsi Richard Tsai (Numer. Algorithms, 2024)

Finite-difference least square methods for solving Hamilton-Jacobi equations using neural networks. - Carlos Esteve Yagüe; Richard Tsai 001; Alex Massucco (J. Comput. Phys., 2025)

Numerical Artifacts in Learning Dynamical Systems. - Bing-Ze Lu; Richard Tsai 001 (CoRR, 2025)