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{\textbf{Congrong Ren}}\\
{\fontsize{8.5}{10}\selectfont PhD Student\\
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\textbf{Computer Science and Engineering}\\
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The Ohio State University\\
680 Dreese Laboratories\\
2015 Neil Ave\\
Columbus, OH 43210-1210\\
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Phone: 614-369-2303\\
Email: ren.452@osu.edu}
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% \textbf{RE: Letter of Reference for Dr. Yang Zhang}

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Dear Editors, 

We would like to submit the manuscript entitled ``Meshing Deforming Spacetime for Visualization and Analysis'' for consideration by IEEE Transactions on Visualization and Computer Graphics.

This paper present an algorithm for building simplicial meshing for 3D deforming spacetime, and a framework for many visualization and analysis tasks on time-varying spatial data based on spacetime meshing. The main contributions include a method that reduces complexity of 3D triangulation, an algorithm for 3D triangulation under geometric and connectivity constraints (e.g., nonconvexity and temporal correspondence), and a framework for interpolation and root-finding problems that facilitate tasks such as upsampling, volume rendering, and isosurfacing. We also quantitatively and qualitatively evaluate our method on a scientific dataset for magnetic field in fusion plasma and a synthetic dataset with rotating underlying physics.

We believe that spacetime meshing is an important topic in scientific visualization research community, and our algorithm for meshing and framework for visualization and analysis based on spacetime mesh fit the scope of this journal. We also confirm that the manuscript is original, and it has not been published nor under review elsewhere. Thank you for the consideration of this manuscript.

Sincerely,

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Congrong Ren

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