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This work proposes a novel variational approximation of partial differential equations on moving geometries determined by explicit boundary representations. The benefits of the proposed formulation are the ability to handle large…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Santiago Badia , Pere A. Martorell , Francesc Verdugo

We present a weakly-supervised approach to segmenting proposed drivable paths in images with the goal of autonomous driving in complex urban environments. Using recorded routes from a data collection vehicle, our proposed method generates…

Robotics · Computer Science 2017-11-20 Dan Barnes , Will Maddern , Ingmar Posner

Capturing the 3D geometry of transparent objects is a challenging task, ill-suited for general-purpose scanning and reconstruction techniques, since these cannot handle specular light transport phenomena. Existing state-of-the-art methods,…

Graphics · Computer Science 2020-09-22 Jiahui Lyu , Bojian Wu , Dani Lischinski , Daniel Cohen-Or , Hui Huang

Given a trivalent graph in the 3-dimensional Euclidean space, we call it a discrete surface because it has a tangent space at each vertex determined by its neighbor vertices. To abstract a continuum object hidden in the discrete surface, we…

Differential Geometry · Mathematics 2022-03-31 Motoko Kotani , Hisashi Naito , Chen Tao

Due to low tissue contrast, irregular object appearance, and unpredictable location variation, segmenting the objects from different medical imaging modalities (e.g., CT, MR) is considered as an important yet challenging task. In this…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Jinquan Sun , Yinghuan Shi , Yang Gao , Lei Wang , Luping Zhou , Wanqi Yang , Dinggang Shen

In this paper we present a variant of the proximal forward-backward splitting iteration for solving nonsmooth optimization problems in Hilbert spaces, when the objective function is the sum of two nondifferentiable convex functions. The…

Optimization and Control · Mathematics 2016-01-13 Jose Yunier Bello Cruz

We describe the implementation of a topological constraint in finite element simulations of phase field models which ensures path-connectedness of preimages of intervals in the phase field variable. Two main applications of our method are…

Numerical Analysis · Mathematics 2018-06-19 Patrick Dondl , Stephan Wojtowytsch

Road extraction in remote sensing images is of great importance for a wide range of applications. Because of the complex background, and high density, most of the existing methods fail to accurately extract a road network that appears…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Pourya Shamsolmoali , Masoumeh Zareapoor , Huiyu Zhou , Ruili Wang , Jie Yang

The growing use of wide angle image capture devices and the need for fast and accurate image analysis in computer visions have enforced the need for dedicated under-representation approaches. Most recent decomposition methods segment an…

Computer Vision and Pattern Recognition · Computer Science 2025-09-25 Rémi Giraud , Rodrigo Borba Pinheiro , Yannick Berthoumieu

In this paper, we propose a new minimal path model for minimally interactive retinal vessel centerline extraction. The main contribution lies at the construction of a novel coherence-penalized Riemannian metric in a lifted space,…

Computational Geometry · Computer Science 2017-10-18 Da Chen , Laurent D. Cohen

Neural implicit surface reconstruction using volume rendering techniques has recently achieved significant advancements in creating high-fidelity surfaces from multiple 2D images. However, current methods primarily target scenes with…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Lintao Xiang , Hongpei Zheng , Bailin Deng , Hujun Yin

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

The goal of this paper is to discover, segment, and track independently moving objects in complex visual scenes. Previous approaches have explored the use of optical flow for motion segmentation, leading to imperfect predictions due to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-20 Junyu Xie , Weidi Xie , Andrew Zisserman

Constrained Motion Planning (CMP) aims to find a collision-free path between the given start and goal configurations on the kinematic constraint manifolds. These problems appear in various scenarios ranging from object manipulation to…

Robotics · Computer Science 2024-03-12 Ruiqi Ni , Ahmed H. Qureshi

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski

We consider the problem of minimizing a finite sum of convex functions subject to the set of minimizers of a convex differentiable function. In order to solve the problem, an algorithm combining the incremental proximal gradient method with…

Optimization and Control · Mathematics 2020-04-21 Nimit Nimana , Narin Petrot

This paper proposes a method for computing the visible occluding contours of subdivision surfaces. The paper first introduces new theory for contour visibility of smooth surfaces. Necessary and sufficient conditions are introduced for when…

Graphics · Computer Science 2022-06-09 Chenxi Liu , Pierre Bénard , Aaron Hertzmann , Shayan Hoshyari

This work presents and evaluates a novel compact scene representation based on Stixels that infers geometric and semantic information. Our approach overcomes the previous rather restrictive geometric assumptions for Stixels by introducing a…

Computer Vision and Pattern Recognition · Computer Science 2019-10-04 Daniel Hernandez-Juarez , Lukas Schneider , Pau Cebrian , Antonio Espinosa , David Vazquez , Antonio M. Lopez , Uwe Franke , Marc Pollefeys , Juan C. Moure

Accurate 3D scene representation and panoptic understanding are essential for applications such as virtual reality, robotics, and autonomous driving. However, challenges persist with existing methods, including precise 2D-to-3D mapping,…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Shenghao Li

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
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