Linear rotation-invariant coordinates for meshes

By Yaron Lipman, Olga Sorkine-Hornung, David Levin, Daniel Cohen-Or. ACM Transactions on Graphics, 2005

366 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/57ab501e4e9ad091dc5a0fb3012dc6f704c1216b

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Subspace gradient domain mesh deformation (2006, methodology): “Recent years have witnessed significant progress in gradientdomain mesh deformation techniques [Sorkine et al. 2004; Yu et al. 2004; Zhou et al. 2005; Lipman et al. 2005; Nealen et al. 2005].”
Geometric modeling in shape space (2007, background): “One approach to preserve surface characteristics is to choose a shape representation such that certain characteristics are invariant under a basic set of operations defined on this representation [Lipman et al. 2005; Kraevoy and Sheffer 2007].”
Drag Your GAN: Interactive Point-based Manipulation on the Generative Image Manifold (2023, background): “Conventionalapproaches[Botsch and Sorkine 2007] typically convert images into meshes, and then deform the mesh subject to geometric constraints such as rigidity [Igarashi et al. 2005; Sorkine and Alexa 2007] and Laplacian smoothness [Lipman et al. 2004, 2005; Sorkine et al. 2004].”
Möbius voting for surface correspondence (2009, methodology): “For each proposed correspondence set, they deform the mesh with the method in [Lipman et al. 2005] and measure distortion with an error functional defined in [Kraevoy and Sheffer 2006].”
On Linear Variational Surface Deformation Methods (2008, methodology): “[42] developed the frame-based representation and used it for surface editing and interpolation.”
One Point Isometric Matching with the Heat Kernel (2010, positive): “Zhang et al. [ZSCO + 08] perform a combinatorial search on the space of feature matches and use a non-rigid shape deformation technique [LSLCO05] to interpolate correspondences and measure distortion.”