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Learning-based 3D reconstruction using implicit neural representations has shown promising progress not only at the object level but also in more complicated scenes. In this paper, we propose Dynamic Plane Convolutional Occupancy Networks,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Stefan Lionar , Daniil Emtsev , Dusan Svilarkovic , Songyou Peng

Mathematical morphology is a theory and technique to collect features like geometric and topological structures in digital images. Given a target image, determining suitable morphological operations and structuring elements is a cumbersome…

Computer Vision and Pattern Recognition · Computer Science 2019-09-05 Yucong Shen , Xin Zhong , Frank Y. Shih

In Hezaveh et al. 2017 we showed that deep learning can be used for model parameter estimation and trained convolutional neural networks to determine the parameters of strong gravitational lensing systems. Here we demonstrate a method for…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-29 Laurence Perreault Levasseur , Yashar D. Hezaveh , Risa H. Wechsler

This paper proposes a method for estimating a surface that contains a given set of points from noisy measurements. More precisely, by assuming that the surface is described by the zero set of a function in the span of a given set of…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Omar M. Sleem , Sahand Kiani , Constantino M. Lagoa

We propose a novel method called SHS-Net for oriented normal estimation of point clouds by learning signed hyper surfaces, which can accurately predict normals with global consistent orientation from various point clouds. Almost all…

Computer Vision and Pattern Recognition · Computer Science 2024-07-31 Qing Li , Huifang Feng , Kanle Shi , Yue Gao , Yi Fang , Yu-Shen Liu , Zhizhong Han

This paper proposes a robust adaptive algorithm for smooth graph signal recovery which is based on generalized correntropy. A proper cost function is defined for this purpose. The proposed algorithm is derived and a kernel width…

Signal Processing · Electrical Eng. & Systems 2022-09-20 Razieh Torkamani , Hadi Zayyani , Farokh Marvasti

We propose a learning paradigm for numerical approximation of differential invariants of planar curves. Deep neural-networks' (DNNs) universal approximation properties are utilized to estimate geometric measures. The proposed framework is…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Roy Velich , Ron Kimmel

We develop a kernel-based approach for estimating the spatially varying Sobolev regularity~$s$ of an unknown $d$-variate function~$f$ from scattered sampling data, which quantifies the degree of local differentiability supported by the…

Numerical Analysis · Mathematics 2026-01-29 Xiaobin Li , Leevan Ling , Yizhong Sun

This paper presents a new method, Diffusing Winding Gradients (DWG), for reconstructing watertight 3D surfaces from unoriented point clouds. Our method exploits the alignment between the gradients of the generalized winding number (GWN)…

Graphics · Computer Science 2024-10-10 Weizhou Liu , Jiaze Li , Xuhui Chen , Fei Hou , Shiqing Xin , Xingce Wang , Zhongke Wu , Chen Qian , Ying He

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

Surface reconstruction is a fundamental problem in 3D graphics. In this paper, we propose a learning-based approach for implicit surface reconstruction from raw point clouds without normals. Our method is inspired by Gauss Lemma in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-22 Dong Xiao , Siyou Lin , Zuoqiang Shi , Bin Wang

Normal integration reconstructs 3D surfaces from normal maps obtained e.g. by photometric stereo. These normal maps capture surface details down to the pixel level but require large computational resources for integration at high…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Moritz Heep , Sven Behnke , Eduard Zell

Single image surface normal estimation and depth estimation are closely related problems as the former can be calculated from the latter. However, the surface normals computed from the output of depth estimation methods are significantly…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Gwangbin Bae , Ignas Budvytis , Roberto Cipolla

Recently, deep neural networks (DNNs) have shown advantages in accelerating optimization algorithms. One approach is to unfold finite number of iterations of conventional optimization algorithms and to learn parameters in the algorithms.…

Machine Learning · Computer Science 2021-04-23 Byung Hyun Lee , Se Young Chun

Deep networks are nowadays becoming popular in many computer vision and pattern recognition tasks. Among these networks, deep kernels are particularly interesting and effective, however, their computational complexity is a major issue…

Computer Vision and Pattern Recognition · Computer Science 2018-12-24 Hichem Sahbi

How to develop slim and accurate deep neural networks has become crucial for real- world applications, especially for those employed in embedded systems. Though previous work along this research line has shown some promising results, most…

Neural and Evolutionary Computing · Computer Science 2019-10-02 Xin Dong , Shangyu Chen , Sinno Jialin Pan

Point discretization of curved surfaces is required in many applications ranging from object rendering to the solution of surface partial differential equations (PDEs). These applications often impose that surfaces are sampled with local…

Computational Engineering, Finance, and Science · Computer Science 2026-05-06 Lennart J. Schulze , Ivo F. Sbalzarini

Deep neural networks have achieved great success in many real-world applications, yet it remains unclear and difficult to explain their decision-making process to an end-user. In this paper, we address the explainable AI problem for deep…

Computer Vision and Pattern Recognition · Computer Science 2019-12-19 Bhavan Vasu , Chengjiang Long

3D shape anomaly detection is a crucial task for industrial inspection and geometric analysis. Existing deep learning approaches typically learn representations of normal shapes and identify anomalies via out-of-distribution feature…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Xueyang Kang , Zizhao Li , Tian Lan , Dong Gong , Kourosh Khoshelham , Liangliang Nan

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang