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Coordinate-based neural networks parameterizing implicit surfaces have emerged as efficient representations of geometry. They effectively act as parametric level sets with the zero-level set defining the surface of interest. We present a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

In interactive object segmentation a user collaborates with a computer vision model to segment an object. Recent works employ convolutional neural networks for this task: Given an image and a set of corrections made by the user as input,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Theodora Kontogianni , Michael Gygli , Jasper Uijlings , Vittorio Ferrari

We propose a new approach to solving bilevel optimization problems, intermediate between solving full-system optimality conditions with a Newton-type approach, and treating the inner problem as an implicit function. The overall idea is to…

Optimization and Control · Mathematics 2024-05-08 Ensio Suonperä , Tuomo Valkonen

Monocular 3D object detection aims to locate objects in different scenes with just a single image. Due to the absence of depth information, several monocular 3D detection techniques have emerged that rely on auxiliary depth maps from the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Xianhui Cheng , Shoumeng Qiu , Zhikang Zou , Jian Pu , Xiangyang Xue

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

Glass-like objects such as windows, bottles, and mirrors exist widely in the real world. Sensing these objects has many applications, including robot navigation and grasping. However, this task is very challenging due to the arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Hao He , Xiangtai Li , Guangliang Cheng , Jianping Shi , Yunhai Tong , Gaofeng Meng , Véronique Prinet , Lubin Weng

Object permanence in humans is a fundamental cue that helps in understanding persistence of objects, even when they are fully occluded in the scene. Present day methods in object segmentation do not account for this amodal nature of the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Kaihua Chen , Deva Ramanan , Tarasha Khurana

The projected subgradient method for constrained minimization repeatedly interlaces subgradient steps for the objective function with projections onto the feasible region, which is the intersection of closed and convex constraints sets, to…

Optimization and Control · Mathematics 2013-08-21 Yair Censor , Ran Davidi , Gabor T. Herman , Reinhard W. Schulte , Luba Tetruashvili

We introduce the Closest Point Heat Method (CPHM), a novel approach for solving the surface Eikonal equation on general smooth surfaces. Building on the strengths of the classical heat method, such as simplicity of implementation and…

Numerical Analysis · Mathematics 2025-09-11 Tony Wong , Shingyu Leung , Byungjoon Lee

We introduce a theoretical framework for differentiable surface evolution that allows discrete topology changes through the use of topological derivatives for variational optimization of image functionals. While prior methods for inverse…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

We propose a method for in-hand 3D scanning of an unknown object with a monocular camera. Our method relies on a neural implicit surface representation that captures both the geometry and the appearance of the object, however, by contrast…

Computer Vision and Pattern Recognition · Computer Science 2023-06-23 Shreyas Hampali , Tomas Hodan , Luan Tran , Lingni Ma , Cem Keskin , Vincent Lepetit

We present a cost-efficient and versatile method to map an unknown 3D freeform surface using only sparse measurements while the end-effector of a robotic manipulator moves along the surface. The geometry is locally approximated by a plane,…

Robotics · Computer Science 2021-10-08 Manuel Amersdorfer , Thomas Meurer

Manifolds discovered by machine learning models provide a compact representation of the underlying data. Geodesics on these manifolds define locally length-minimising curves and provide a notion of distance, which are key for reduced-order…

Computational Geometry · Computer Science 2023-11-03 Daniel Kelshaw , Luca Magri

This paper investigates a variational model for splines in the image metamorphosis model for the smooth interpolation of key frames in the space of images. The Riemannian manifold of images based on the metamorphosis model defines shortest…

Numerical Analysis · Mathematics 2024-02-28 Jorge Justiniano , Marko Rajković , Martin Rumpf

Problems in differentiable rendering often involve optimizing scene parameters that cause motion in image space. The gradients for such parameters tend to be sparse, leading to poor convergence. While existing methods address this sparsity…

Graphics · Computer Science 2025-03-31 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

3D volumetric reconstruction from incomplete or noisy measurements is a fundamental problem in medical imaging and computational tomography. Deep image prior (DIP)-based methods have recently shown strong capability for solving inverse…

Computational Engineering, Finance, and Science · Computer Science 2026-05-29 Haijie Yuan , Chaoyan Huang , Srijita Bandopadhyay , Liyue Shen , Saiprasad Ravishankar

In Computer Vision, edge detection is one of the favored approaches for feature and object detection in images since it provides information about their objects boundaries. Other region-based approaches use probabilistic analysis such as…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Dominique Beaini , Sofiane Achiche , Fabrice Nonez , Maxime Raison

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

A two step mesh deformation approach for large nodal deformations, typically arising from non-parametric shape optimization, fluid-structure interaction or computer graphics, is considered. Two major difficulties, collapsed cells and an…

Numerical Analysis · Computer Science 2014-12-01 Stephan Schmidt

This paper studies path synthesis for nonholonomic mobile robots moving in two-dimensional space. We first address the problem of interpolating paths expressed as sequences of straight line segments, such as those produced by some planning…

Robotics · Computer Science 2015-08-12 Stéphane Lens , Bernard Boigelot