In this thesis, I accurately simulate intricate wrinkles under coarsely meshed thin shells. We first propose a novel wrinkle model that adeptly captures complex, high-frequency wrinkles on coarse meshes, overcoming the resolution constraints of traditional Finite Element Method frameworks. This model is then extended to facilitate the animation of detailed wrinkle dynamics, including the progression of singularities. Moreover, we introduce an advanced remeshing technique that seamlessly converts high-polygon models—common in natural environments—into visually equivalent low-polygon meshes. This technique proves invaluable not only for preprocessing to generate coarse meshes suitable for our wrinkle simulation approach but also for creating models with multiple levels of detail (LOD), a technique widely utilized in the gaming industry.
title: “Mint: Discretely Integrable Moments for Symmetric Frame Fields” date: 2025-06-30 authors:
publication_types: [“2”]
publication: “Eurographics Symposium on Geometry Processing 2025” publication_short: “SGP 2025”
abstract: This paper studies the problem of unconstrained (e.g. not orthogonal or unit) symmetric frame field design in volumes. Our principal contribution is a novel (and theoretically well-founded) local integrability condition for frame fields represented as a triplet of symmetric tensors of second, fourth, and sixth order. We also formulate a novel smoothness energy for this representation. To validate our discritization, we study the problem of seamless parameterization of volumetric objects. We compare against baseline approaches by formulating a smooth, integrable, and approximately octahedral frame objective in our discritization. Our method is the first to solve these problems with automatic placement of singularities while also enforcing a symmetric proxy for local integrability as a hard constraint, achieving significantly higher quality parameterizations, in expectation, relative to other frame field design based approaches.
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