2019
DOI: 10.1111/cgf.13794
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Unsupervised cycle‐consistent deformation for shape matching

Abstract: We propose a self‐supervised approach to deep surface deformation. Given a pair of shapes, our algorithm directly predicts a parametric transformation from one shape to the other respecting correspondences. Our insight is to use cycle‐consistency to define a notion of good correspondences in groups of objects and use it as a supervisory signal to train our network. Our method combines does not rely on a template, assume near isometric deformations or rely on point‐correspondence supervision. We demonstrate the… Show more

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Cited by 39 publications
(62 citation statements)
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“…The key idea to use Multi-Layer Perceptron (MLP) on point clouds was initially proposed for shape classification and segmentation by Qi et al [42] with an architecture called PointNet, and for 3D point cloud generation in [15]. To answer the difficulty of annotating 3D data, new approaches are able to perform self-supervised and unsupervised feature learning [60,44,27] and low-shot segmentation [24,55,21]. Especially related to ours is the recent 3D capsule approach [61] that explicitly tries to design a shape representation invariant to 3D transformations and can be applied to many tasks.…”
Section: Related Workmentioning
confidence: 99%
See 2 more Smart Citations
“…The key idea to use Multi-Layer Perceptron (MLP) on point clouds was initially proposed for shape classification and segmentation by Qi et al [42] with an architecture called PointNet, and for 3D point cloud generation in [15]. To answer the difficulty of annotating 3D data, new approaches are able to perform self-supervised and unsupervised feature learning [60,44,27] and low-shot segmentation [24,55,21]. Especially related to ours is the recent 3D capsule approach [61] that explicitly tries to design a shape representation invariant to 3D transformations and can be applied to many tasks.…”
Section: Related Workmentioning
confidence: 99%
“…With K = 10 prototypes and D = 5, our model has 4.6M parameters. For comparison, the reconstruction models proposed by Wang et al [55] and Groueix et al [24] have respectively 2.6M and 10.0M parameters. See our supplementary material for additional details.…”
Section: Parameterization and Training Detailsmentioning
confidence: 99%
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“…To achieve the goals, the key is to choose a suitable parameterization of deformations. One option is to follow the recent target-driven deformation network [38,9,45,34], which parameterizes the deformation as new positions of all the mesh vertices. However, such a large degree of freedom often results in the loss of fine-grained geometric details and tends to cause undesirable distortions.…”
Section: Introductionmentioning
confidence: 99%
“…These features are then input to an offset decoder which predicts per-vertex offsets to deform the source to produce a deformed shape similar to the target. Groueix et al[277] also perform pervertex deformation, leveraging not only reconstruction loss, but also cycle-consistency loss.…”
mentioning
confidence: 99%