As-rigid-as-possible shape interpolation

By Marc Alexa, Daniel Cohen-Or, David Levin. 2000

603 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Computer Vision and Pattern Recognition

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

In Computer Graphics and Computer-Aided Design

In Computer Vision and Pattern Recognition

Citations in the corpus

Generative Visual Manipulation on the Natural Image Manifold (2016, methodology): “More advanced editing methods such as image warping [8,9] or structured image editing [10] intelligently reshuffle the pixels in an image following user’s edits.”
Differential Representations for Mesh Processing (2006, methodology): “In general, naturally-looking shape interpolation exhibits rigidity and minimizes elastic distortion of the in-between shapes [56].”
Recent Advances in Mesh Morphing (2002, background): “d 1 i {i,j} 2 K 0 {i,j} 62 K ( 3 ) this can be written as the mentioned system of linear equations”
Linear rotation-invariant coordinates for meshes (2005, background): “We believe that our results have the same quality as the advanced morphing methods, such as [Alexa et al. 2000; Xu et al. 2005], where the first requires meshing the interior of the model, and the second involves non-linear interpolation of the Poisson mesh representation.”
Generative Attribute Controller with Conditional Filtered Generative Adversarial Networks (2017, background): “, missing data interpolation [2] and image warping [1, 15]).”
As-rigid-as-possible shape manipulation (2005, methodology): “This process is very similar to the assembly process in [Alexa et al. 2000][Sumner and Popovic 2004][Yu et al.”
Meshless deformations based on shape matching (2005, result): “Our approach draws from previous work in the field of shape matching [Shoemake and Duff 1992], [Alexa et al. 2000], [Kent et al. 1992].”
A Unified Framework for Street-View Panorama Stitching (2016, background): “The work in [32] firstly introduced the concept of as-rigid-as-possible transformations, which have the property that both local scaling and shearing are very slight.”
As-rigid-as-possible surface modeling (2007, methodology): “The principle of as-rigid-as-possible deformation was successfully applied to shape interpolation [ACOL00, XZWB05].”
Geometric modeling in shape space (2007, methodology): “Such methods include maximum local rigidity criteria based on mesh representations [Alexa et al. 2000; Igarashi et al. 2005; Botsch et al. 2006], Laplacian coordinates [Sorkine et al. 2004], coordinates with respect to superposed control structures [Ju et al. 2005], the Poisson equation [Xu et al.…”
Content-preserving warps for 3D video stabilization (2009, methodology): “These methods, which build on earlier work in as-rigid-as-possible shape interpolation [Alexa et al. 2000], are able to minimize perceivable distortion much more effectively than traditional space-warp methods [Beier and Neely 1992] or standard scattered data interpolation [Bookstein 1989].”
Mesh-based inverse kinematics (2005, methodology): “This nonlinear blend can be thought of as an n-way boundarybased version of as-rigid-as-possible shape interpolation [Alexa et al. 2000].”