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Neural implicit surface representations have recently emerged as popular alternative to explicit 3D object encodings, such as polygonal meshes, tabulated points, or voxels. While significant work has improved the geometric fidelity of these…

Graphics · Computer Science 2023-06-27 Yanran Guan , Andrei Chubarau , Ruby Rao , Derek Nowrouzezahrai

In this paper we describe an algorithm for implicitizing rational hypersurfaces in case there exists at most a finite number of base points. It is based on a technique exposed in math.AG/0210096, where implicit equations are obtained as…

Algebraic Geometry · Mathematics 2007-05-23 Laurent Buse , Marc Chardin

Geometric Deep Learning has recently made striking progress with the advent of continuous Deep Implicit Fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Benoît Guillard , Timur Bagautdinov , Pierre Baque , Pascal Fua

We propose a novel neural architecture for representing 3D surfaces, which harnesses two complementary shape representations: (i) an explicit representation via an atlas, i.e., embeddings of 2D domains into 3D; (ii) an implicit-function…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Omid Poursaeed , Matthew Fisher , Noam Aigerman , Vladimir G. Kim

Implicit representations of 3D objects have recently achieved impressive results on learning-based 3D reconstruction tasks. While existing works use simple texture models to represent object appearance, photo-realistic image synthesis…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Michael Oechsle , Michael Niemeyer , Lars Mescheder , Thilo Strauss , Andreas Geiger

Representing 3D surfaces as level sets of continuous functions over $\mathbb{R}^3$ is the common denominator of neural implicit representations, which recently enabled remarkable progress in geometric deep learning and computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Daniele Baieri , Stefano Esposito , Filippo Maggioli , Emanuele Rodolà

We present a novel neural surface reconstruction method called NeuralRoom for reconstructing room-sized indoor scenes directly from a set of 2D images. Recently, implicit neural representations have become a promising way to reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Yusen Wang , Zongcheng Li , Yu Jiang , Kaixuan Zhou , Tuo Cao , Yanping Fu , Chunxia Xiao

The generation of triangle meshes from point clouds, i.e. meshing, is a core task in computer graphics and computer vision. Traditional techniques directly construct a surface mesh using local decision heuristics, while some recent methods…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Mathias Vetsch , Sandro Lombardi , Marc Pollefeys , Martin R. Oswald

Learning implicit representations has been a widely used solution for surface reconstruction from 3D point clouds. The latest methods infer a distance or occupancy field by overfitting a neural network on a single point cloud. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-28 Chao Chen , Yu-Shen Liu , Zhizhong Han

3D scene reconstruction from 2D images has been a long-standing task. Instead of estimating per-frame depth maps and fusing them in 3D, recent research leverages the neural implicit surface as a unified representation for 3D reconstruction.…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Xinyi Yu , Liqin Lu , Jintao Rong , Guangkai Xu , Linlin Ou

We propose an optimization proxy in terms of iterative implicit gradient methods for solving constrained optimization problems with nonconvex loss functions. This framework can be applied to a broad range of machine learning settings,…

Optimization and Control · Mathematics 2025-10-14 Harshal D. Kaushik , Ming Jin

Implicit neural representations have emerged as a powerful approach for encoding complex geometries as continuous functions. These implicit models are widely used in computer vision and 3D content creation, but their integration into…

Recent progress in neural implicit functions has set new state-of-the-art in reconstructing high-fidelity 3D shapes from a collection of images. However, these approaches are limited to closed surfaces as they require the surface to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Xiaoxu Meng , Weikai Chen , Bo Yang

Boundary detection is essential for a variety of computer vision tasks such as segmentation and recognition. In this paper we propose a unified formulation and a novel algorithm that are applicable to the detection of different types of…

Computer Vision and Pattern Recognition · Computer Science 2012-02-17 Marius Leordeanu , Rahul Sukthankar , Cristian Sminchisescu

Learning a dense 3D model with fine-scale details from a single facial image is highly challenging and ill-posed. To address this problem, many approaches fit smooth geometries through facial prior while learning details as additional…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Xingyu Ren , Alexandros Lattas , Baris Gecer , Jiankang Deng , Chao Ma , Xiaokang Yang , Stefanos Zafeiriou

An efficient computer algorithm is described for the perspective drawing of a wide class of surfaces. The class includes surfaces corresponding lo single-valued, continuous functions which are defined over rectangular domains. The algorithm…

Graphics · Computer Science 2011-07-29 Ignacio Vega-Paez , Jose Angel Ortega , Georgina G. Pulido

Implicit surface representations, such as signed-distance functions, combined with deep learning have led to impressive models which can represent detailed shapes of objects with arbitrary topology. Since a continuous function is learned,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-08 Edgar Tretschk , Ayush Tewari , Vladislav Golyanik , Michael Zollhöfer , Carsten Stoll , Christian Theobalt

It is challenging to directly estimate the human geometry from a single image due to the high diversity and complexity of body shapes with the various clothing styles. Most of model-based approaches are limited to predict the shape and pose…

Computer Vision and Pattern Recognition · Computer Science 2022-02-02 Lixiang Lin , Jianke Zhu

Recent learning approaches that implicitly represent surface geometry using coordinate-based neural representations have shown impressive results in the problem of multi-view 3D reconstruction. The effectiveness of these techniques is,…

Computer Vision and Pattern Recognition · Computer Science 2021-07-28 Eduard Ramon , Gil Triginer , Janna Escur , Albert Pumarola , Jaime Garcia , Xavier Giro-i-Nieto , Francesc Moreno-Noguer

Implicit representation of shapes as level sets of multilayer perceptrons has recently flourished in different shape analysis, compression, and reconstruction tasks. In this paper, we introduce an implicit neural representation-based…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Tin Vlašić , Hieu Nguyen , AmirEhsan Khorashadizadeh , Ivan Dokmanić