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Unlike conventional 3D generative models, our algorithm aims for building a structured latent space where certain factors of shape variations, such as object parts, can be disentangled into independent sub-spaces. Our novel decoder then acts on these individual latent sub-spaces (i.e. capsules) using deconvolution operators to reconstruct 3D points in a self-supervised manner. We further introduce a cluster loss ensuring that the points reconstructed by a single capsule remain local and do not spread across the object uncontrollably. These contributions allow our network to tackle the challenging tasks of part segmentation, part interpolation\/replacement as well as correspondence estimation across rigid \/ non-rigid shape, and across \/ within category. Our extensive evaluations on ShapeNet objects and human scans demonstrate that our network can learn generic representations that are robust and useful in many applications.<\/jats:p>","DOI":"10.1007\/s11263-022-01632-6","type":"journal-article","created":{"date-parts":[[2022,7,30]],"date-time":"2022-07-30T10:02:52Z","timestamp":1659175372000},"page":"2321-2336","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["3DPointCaps++: Learning 3D Representations with Capsule Networks"],"prefix":"10.1007","volume":"130","author":[{"given":"Yongheng","family":"Zhao","sequence":"first","affiliation":[]},{"given":"Guangchi","family":"Fang","sequence":"additional","affiliation":[]},{"given":"Yulan","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Leonidas","family":"Guibas","sequence":"additional","affiliation":[]},{"given":"Federico","family":"Tombari","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7915-7964","authenticated-orcid":false,"given":"Tolga","family":"Birdal","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,7,30]]},"reference":[{"key":"1632_CR1","unstructured":"Achlioptas, P., Diamanti, O., Mitliagkas, I., Guibas, L. 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