DeepSDF swMATH ID: 31206 Software Authors: Jeong Joon Park, Peter Florence, Julian Straub, Richard Newcombe, Steven Lovegrove Description: DeepSDF: Learning Continuous Signed Distance Functions for Shape Representation. Computer graphics, 3D computer vision and robotics communities have produced multiple approaches to representing 3D geometry for rendering and reconstruction. These provide trade-offs across fidelity, efficiency and compression capabilities. In this work, we introduce DeepSDF, a learned continuous Signed Distance Function (SDF) representation of a class of shapes that enables high quality shape representation, interpolation and completion from partial and noisy 3D input data. DeepSDF, like its classical counterpart, represents a shape’s surface by a continuous volumetric field: the magnitude of a point in the field represents the distance to the surface boundary and the sign indicates whether the region is inside (-) or outside (+) of the shape, hence our representation implicitly encodes a shape’s boundary as the zero-level-set of the learned function while explicitly representing the classification of space as being part of the shapes interior or not. While classical SDF’s both in analytical or discretized voxel form typically represent the surface of a single shape, DeepSDF can represent an entire class of shapes. Furthermore, we show state-of-the-art performance for learned 3D shape representation and completion while reducing the model size by an order of magnitude compared with previous work. Homepage: https://arxiv.org/abs/1901.05103 Source Code: https://github.com/facebookresearch/DeepSDF Related Software: PointNet; PyTorch; ImageNet; Pixel2Mesh; ShapeNet; Adam; MNIST; TensorFlow; SynSin; PIFu; Inception-v4; MeshLab; DensePose; SMPL; NeRF; Kaolin; 3D-R2N2; AlexNet; Make3D; PIFuHD Cited in: 5 Publications all top 5 Cited by 15 Authors 1 Cui, Zhiming 1 Deng, Hao 1 Fan, Cien 1 Liu, Yifeng 1 Ping, Yuhan 1 Shi, Yu 1 Srivastava, Ankit 1 Sukumar, Natarajan 1 Sun, Caixia 1 Szeliski, Richard 1 To, Albert C. 1 Wang, Wenping 1 Wei, Guodong 1 Yang, Lei 1 Zou, Lian Cited in 5 Serials 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Aided Geometric Design 1 Computational Mechanics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Texts in Computer Science Cited in 4 Fields 3 Computer science (68-XX) 2 Numerical analysis (65-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year