Energy-Preserving Integrators for Fluid Animation (2009)
Mullen, Patrick, Crane, Keenan, Pavlov, Dmitry, Tong, Yiying, Desbrun, Mathieu
Numerical viscosity has long been a problem in fluid animation. Existing methods suffer from intrinsic artificial dissipation and often apply complicated computational mechanisms to combat such...
Abstract Mesh Puppetry: Cascading Optimization of Mesh Deformation with Inverse Kinematics (2009)
Xiaohan Shi, Kun Zhou, Yiying Tong, Mathieu Desbrun, Hujun Bao, Baining Guo
We present mesh puppetry, a variational framework for detailpreserving mesh manipulation through a set of high-level, intuitive, and interactive design tools. Our approach builds upon traditional...
Eitan Grinspun (columbia, Jerrold E. Marsden, Yiying Tong
Variational Integrators [Marsden and West (2001)] approximate the Lagrangian of a mechanical system, then use a variational principle to derive a structure-preserving numerical scheme. However, as...
Statement of Purpose Applied Differential Geometry (2008)
www.cse.msu.edu/ ˜ ytong My main research goal is to develop robust, predictive, and multi-purpose computation tools by leveraging differential geometric concepts and foundations. In particular, I...
Mathematik und Physik ZAMP On the geometric character of stress in continuum mechanics (2008)
Eva Kanso, Marino Arroyo, Yiying Tong, Arash Yavari, Jerrold E. Marsden, Mathieu Desbrun
Abstract. This paper shows that the stress field in the classical theory of continuum mechanics may be taken to be a covector-valued differential two-form. The balance laws and other fundamental laws...
Abstract TextureMontage: Seamless Texturing of Arbitrary Surfaces From Multiple Images (2008)
Kun Zhou, Xi Wang, Yiying Tong, Mathieu Desbrun, Baining Guo, Heung-yeung Shum
We propose a technique, called TextureMontage, to seamlessly map a patchwork of texture images onto an arbitrary 3D model. A texture atlas can be created through the specification of a set of...
circulation-preserving, simplicial fluids (2008)
Sharif Elcott, Yiying Tong, Eva Kanso, Peter Schröder, Mathieu Desbrun
Visual quality, low computational cost, and numerical stability are foremost goals in computer animation. An important ingredient in achieving these goals is the conservation of fundamental motion...
Laehyun Kim, Haeyoung Lee, Yiying Tong, Pushkar Joshi
The multimedia revolution has encompassed three types of data so far: sound, image, and video. The goal of this proposal is to establish an entirely new and much needed research area: Digital...
Digital geometry is emerging as a new data type for various multimedia applications. Proper processing of such geometric datasets is highly needed to foster and generalize the use of 3D geometry in...
A Variational Approach to Eulerian Geometry Processing (2008)
Patrick Mullen, Alexander Mckenzie, Yiying Tong, Mathieu Desbrun
Figure 1: Eulerian Geometry: our geometry processing framework offers a fully Eulerian variational approach to (left) outward and inward surface offset (here spatially varying by height), (center)...
Feature Article Geodesics-Based One-to-One Parameterization of 3D Triangle (2008)
Haeyoung Lee, Yiying Tong, Mathieu Desbrun
Digital geometry is a new data type for multimedia applications. To foster the use of 3D geometry, we introduce a piecewise linear parameterization of 3D surfaces that we can use for texture mapping,...
circulation-preserving, simplicial fluids (2008)
Sharif Elcott, Yiying Tong, Eva Kanso, Peter Schröder, Mathieu Desbrun
Visual quality, low computational cost, and numerical stability are foremost goals in computer animation. An important ingredient in achieving these goals is the conservation of fundamental motion...
Abstract TextureMontage: Seamless Texturing of Arbitrary Surfaces From Multiple Images (2008)
Kun Zhou, Xi Wang, Yiying Tong, Mathieu Desbrun, Baining Guo, Heung-yeung Shum
We propose a technique, called TextureMontage, to seamlessly map a patchwork of texture images onto an arbitrary 3D model. A texture atlas can be created through the specification of a set of...
Variational Integrators for Maxwell's Equations with Sources (2008)
Stern, Ari, Tong, Yiying, Desbrun, Mathieu, Marsden, Jerrold E.
In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed...
Spectral Conformal Parameterization (2008)
Mullen, Patrick, Tong, Yiying, Alliez, Pierre, Desbrun, Mathieu
We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional...
Spectral Conformal Parameterization (2008)
Mullen, Patrick, Tong, Yiying, Alliez, Pierre, Desbrun, Mathieu
We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional...
IMAGE-BASED WALKTHROUGH OVER THE INTERNET (2007)
Jiang Li, Yiying Tong, Yong Wang, Heung-yeung Shum, Ya-qin Zhang
In this paper, we describe a client-server image-based walkthrough system. This system employs pictures, panoramas, and concentric mosaics captured from real scenes. These data are compressed and...
Computational Electromagnetism with Variational Integrators and Discrete Differential Forms (2007)
Stern, Ari, Tong, Yiying, Desbrun, Mathieu, Marsden, Jerrold E.
In this paper, we introduce a general family of variational, multisymplectic numerical methods for solving Maxwell's equations, using discrete differential forms in spacetime. In doing so, we...
Towards applied geometry in graphics / (2004)
Thesis (Ph. D.)--University of Southern California, 2004.
Discrete Multiscale Vector Field Decomposition (2003)
Yiying Tong, Santiago Lombeyda, Anil N. Hirani, Mathieu Desbrun
While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finite-difference...