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Implicit functions represented as deep learning approximations are powerful for reconstructing 3D surfaces. However, they can only produce static surfaces that are not controllable, which provides limited ability to modify the resulting…

Computer Vision and Pattern Recognition · Computer Science 2021-11-29 Bharat Lal Bhatnagar , Cristian Sminchisescu , Christian Theobalt , Gerard Pons-Moll

We present in this paper a new family of implicit function for synthesizing a wide variety of 3D surfaces. The basis of this family consists of the usual functions that are: the function rectangular pulses, the function saw-tooth pulses,…

Graphics · Computer Science 2016-01-28 Jelloul Elmesbahi , Ahmed Errami , Mohammed Khaldoun , Omar Bouattane

In this paper we present a novel representation for deformation fields of 3D shapes, by considering the induced changes in the underlying metric. In particular, our approach allows to represent a deformation field in a coordinate-free way…

Graphics · Computer Science 2017-09-29 Etienne Corman , Maks Ovsjanikov

Video Frame Interpolation synthesizes non-existent images between adjacent frames, with the aim of providing a smooth and consistent visual experience. Two approaches for solving this challenging task are optical flow based and kernel-based…

Computer Vision and Pattern Recognition · Computer Science 2021-05-13 Xi Li , Meng Cao , Yingying Tang , Scott Johnston , Zhendong Hong , Huimin Ma , Jiulong Shan

There is a growing demand for the accessible creation of high-quality 3D avatars that are animatable and customizable. Although 3D morphable models provide intuitive control for editing and animation, and robustness for single-view face…

Computer Vision and Pattern Recognition · Computer Science 2023-05-05 Connor Z. Lin , Koki Nagano , Jan Kautz , Eric R. Chan , Umar Iqbal , Leonidas Guibas , Gordon Wetzstein , Sameh Khamis

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

We advocate the use of implicit fields for learning generative models of shapes and introduce an implicit field decoder, called IM-NET, for shape generation, aimed at improving the visual quality of the generated shapes. An implicit field…

Graphics · Computer Science 2019-09-18 Zhiqin Chen , Hao Zhang

Our method studies the complex task of object-centric 3D understanding from a single RGB-D observation. As it is an ill-posed problem, existing methods suffer from low performance for both 3D shape and 6D pose and size estimation in complex…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Muhammad Zubair Irshad , Sergey Zakharov , Rares Ambrus , Thomas Kollar , Zsolt Kira , Adrien Gaidon

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that…

Functional Analysis · Mathematics 2017-10-11 Daniel Schmitter , Julien Fageot , Anaïs Badoual , Pablo Garcia-Amorena , Michael Unser

We present ShapeFormer, a transformer-based network that produces a distribution of object completions, conditioned on incomplete, and possibly noisy, point clouds. The resultant distribution can then be sampled to generate likely…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Xingguang Yan , Liqiang Lin , Niloy J. Mitra , Dani Lischinski , Daniel Cohen-Or , Hui Huang

Materials exhibit geometric structures across mesoscopic to microscopic scales, influencing macroscale properties such as appearance, mechanical strength, and thermal behavior. Capturing and modeling these multiscale structures is…

Graphics · Computer Science 2025-04-15 Bojja Venu , Adam Bosak , Juan Raul Padron-Griffe

Human perception of 3D shapes goes beyond reconstructing them as a set of points or a composition of geometric primitives: we also effortlessly understand higher-level shape structure such as the repetition and reflective symmetry of object…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yonglong Tian , Andrew Luo , Xingyuan Sun , Kevin Ellis , William T. Freeman , Joshua B. Tenenbaum , Jiajun Wu

Existing networks directly learn feature representations on 3D point clouds for shape analysis. We argue that 3D point clouds are highly redundant and hold irregular (permutation-invariant) structure, which makes it difficult to achieve…

Machine Learning · Computer Science 2020-07-21 Sameera Ramasinghe , Salman Khan , Nick Barnes , Stephen Gould

Recent advances in 3D deep learning have shown that it is possible to train highly effective deep models for 3D shape generation, directly from 2D images. This is particularly interesting since the availability of 3D models is still limited…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Shichen Liu , Shunsuke Saito , Weikai Chen , Hao Li

Learning to encode differences in the geometry and (topological) structure of the shapes of ordinary objects is key to generating semantically plausible variations of a given shape, transferring edits from one shape to another, and many…

Computer Vision and Pattern Recognition · Computer Science 2019-11-26 Kaichun Mo , Paul Guerrero , Li Yi , Hao Su , Peter Wonka , Niloy Mitra , Leonidas J. Guibas

We present implicit displacement fields, a novel representation for detailed 3D geometry. Inspired by a classic surface deformation technique, displacement mapping, our method represents a complex surface as a smooth base surface plus a…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Wang Yifan , Lukas Rahmann , Olga Sorkine-Hornung

We introduce a rotation-invariant representation of planar shapes. In particular, this representation encodes shapes as vectors such that the Euclidean distance between them serves as a valid shape distance. For standardized, star-shaped…

Computational Geometry · Computer Science 2026-05-28 Hamid Shafieasl , Jeff M. Phillips

Shape completion is the problem of completing partial input shapes such as partial scans. This problem finds important applications in computer vision and robotics due to issues such as occlusion or sparsity in real-world data. However,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-08 Himanshu Arora , Saurabh Mishra , Shichong Peng , Ke Li , Ali Mahdavi-Amiri

This paper outlines a methodology for constructing a geometrically smooth interpolatory curve in $\mathbb{R}^d$ applicable to oriented and flattenable points with $d\ge 2$. The construction involves four essential components: local…

Numerical Analysis · Mathematics 2024-05-21 Tsung-Wei Hu , Ming-Jun Lai

Foundation models for 3D shape generation have recently shown a remarkable capacity to encode rich geometric priors across both global and local dimensions. However, leveraging these priors for downstream tasks can be challenging as…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Maximilian Plattner , Arturs Berzins , Johannes Brandstetter