Search Results - "Crane, Keenan"

A Laplacian for Nonmanifold Triangle Meshes by Sharp, Nicholas, Crane, Keenan

“…We describe a discrete Laplacian suitable for any triangle mesh, including those that are nonmanifold or nonorientable (with or without boundary). Our…”
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Möbius Registration by Baden, Alex, Crane, Keenan, Kazhdan, Misha

“…Conformal parameterizations over the sphere provide high‐quality maps between genus zero surfaces, and are essential for applications such as data transfer and…”
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Trivial Connections on Discrete Surfaces by Crane, Keenan, Desbrun, Mathieu, Schröder, Peter

“…This paper presents a straightforward algorithm for constructing connections on discrete surfaces that are as smooth as possible everywhere but on a set of…”
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A Dirac Operator for Extrinsic Shape Analysis by Liu, Hsueh‐Ti Derek, Jacobson, Alec, Crane, Keenan

“…The eigenfunctions and eigenvalues of the Laplace‐Beltrami operator have proven to be a powerful tool for digital geometry processing, providing a description…”
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Conformal Geometry Processing by Crane, Keenan

“…This thesis introduces fundamental equations and numerical methods for manipulating surfaces in three dimensions via conformal transformations. Conformal…”
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Differential Walk on Spheres by Miller, Bailey, Sawhney, Rohan, Crane, Keenan, Gkioulekas, Ioannis

“…We introduce a Monte Carlo method for computing derivatives of the solution to a partial differential equation (PDE) with respect to problem parameters (such…”
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Boundary Value Caching for Walk on Spheres by Miller, Bailey, Sawhney, Rohan, Crane, Keenan, Gkioulekas, Ioannis

“…ACM TOG 2023 Grid-free Monte Carlo methods such as walk on spheres can be used to solve elliptic partial differential equations without mesh generation or…”
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Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions by Sawhney, Rohan, Miller, Bailey, Gkioulekas, Ioannis, Crane, Keenan

“…ACM TOG 2023 Grid-free Monte Carlo methods based on the walk on spheres (WoS) algorithm solve fundamental partial differential equations (PDEs) like the…”
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Integer Coordinates for Intrinsic Geometry Processing by Gillespie, Mark, Sharp, Nicholas, Crane, Keenan

“…In this work, we present a general, efficient, and provably robust representation for intrinsic triangulations. These triangulations have emerged as a powerful…”
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Boundary First Flattening by Sawhney, Rohan, Crane, Keenan

“…ACM Trans. Graph. 37 (1), 2017 A conformal flattening maps a curved surface to the plane without distorting angles---such maps have become a fundamental…”
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Repulsive Curves by Yu, Christopher, Schumacher, Henrik, Crane, Keenan

“…Curves play a fundamental role across computer graphics, physical simulation, and mathematical visualization, yet most tools for curve design do nothing to…”
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Grid-Free Monte Carlo for PDEs with Spatially Varying Coefficients by Sawhney, Rohan, Seyb, Dario, Jarosz, Wojciech, Crane, Keenan

“…Partial differential equations (PDEs) with spatially-varying coefficients arise throughout science and engineering, modeling rich heterogeneous material…”
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Surface Simplification using Intrinsic Error Metrics by Liu, Hsueh-Ti Derek, Gillespie, Mark, Chislett, Benjamin, Sharp, Nicholas, Jacobson, Alec, Crane, Keenan

“…ACM Transactions on Graphics, Vol.42, No. 4, August 2023 This paper describes a method for fast simplification of surface meshes. Whereas past methods focus on…”
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Repulsive Surfaces by Yu, Chris, Brakensiek, Caleb, Schumacher, Henrik, Crane, Keenan

“…Functionals that penalize bending or stretching of a surface play a key role in geometric and scientific computing, but to date have ignored a very basic…”
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DiffusionNet: Discretization Agnostic Learning on Surfaces by Sharp, Nicholas, Attaiki, Souhaib, Crane, Keenan, Ovsjanikov, Maks

“…We introduce a new general-purpose approach to deep learning on 3D surfaces, based on the insight that a simple diffusion layer is highly effective for spatial…”
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A Survey of Algorithms for Geodesic Paths and Distances by Crane, Keenan, Livesu, Marco, Puppo, Enrico, Qin, Yipeng

“…Numerical computation of shortest paths or geodesics on curved domains, as well as the associated geodesic distance, arises in a broad range of applications…”
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The Vector Heat Method by Sharp, Nicholas, Soliman, Yousuf, Crane, Keenan

“…This paper describes a method for efficiently computing parallel transport of tangent vectors on curved surfaces, or more generally, any vector-valued data on…”
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Conformal Geometry Processing by Crane, Keenan

“…This thesis introduces fundamental equations and numerical methods for manipulating surfaces in three dimensions via conformal transformations. Conformal…”
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Geodesics in Heat by Crane, Keenan, Weischedel, Clarisse, Wardetzky, Max

“…ACM Trans. Graph. 32 (5), 2013 We introduce the heat method for computing the shortest geodesic distance to a specified subset (e.g., point or curve) of a…”
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A General Framework for Bilateral and Mean Shift Filtering by Solomon, Justin, Crane, Keenan, Butscher, Adrian, Wojtan, Chris

“…We present a generalization of the bilateral filter that can be applied to feature-preserving smoothing of signals on images, meshes, and other domains within…”
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