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When modeling scientific and industrial problems, geometries are typically modeled by explicit boundary representations obtained from computer-aided design software. Unfitted (also known as embedded or immersed) finite element methods offer…

Computational Engineering, Finance, and Science · Computer Science 2024-05-24 Pere A. Martorell , Santiago Badia

We present Surf-D, a novel method for generating high-quality 3D shapes as Surfaces with arbitrary topologies using Diffusion models. Previous methods explored shape generation with different representations and they suffer from limited…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Zhengming Yu , Zhiyang Dou , Xiaoxiao Long , Cheng Lin , Zekun Li , Yuan Liu , Norman Müller , Taku Komura , Marc Habermann , Christian Theobalt , Xin Li , Wenping Wang

This paper presents a method to generate valid high order meshes with optimized geometrical accuracy. The high order meshing procedure starts with a linear mesh, that is subsequently curved without taking care of the validity of the high…

Computational Physics · Physics 2016-03-23 Thomas Toulorge , Jonathan Lambrechts , Jean-François Remacle

We introduce CLR-Wire, a novel framework for 3D curve-based wireframe generation that integrates geometry and topology into a unified Continuous Latent Representation. Unlike conventional methods that decouple vertices, edges, and faces,…

Graphics · Computer Science 2025-05-06 Xueqi Ma , Yilin Liu , Tianlong Gao , Qirui Huang , Hui Huang

Cutting plane methods, particularly outer approximation, are a well-established approach for solving nonlinear discrete optimization problems without relaxing the integrality of decision variables. While powerful in theory, their…

Optimization and Control · Mathematics 2025-11-04 Hòa T. Bùi , Alberto De Marchi

Problems that require the parameterization of closed contours arise frequently in computer vision applications. This article introduces a new curve parameterization algorithm that is able to fit a closed curve to a set of points while being…

Computer Vision and Pattern Recognition · Computer Science 2015-04-23 Michael A. Greminger

Visual odometry techniques typically rely on feature extraction from a sequence of images and subsequent computation of optical flow. This point-to-point correspondence between two consecutive frames can be costly to compute and suffers…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Chenqi Zhu , Levi Burner , Yiannis Aloimonos

Visualization of implicit surfaces is an actively researched topic. While raytracing can produce high quality images, it is not well suited for creating a quick preview of the surface. Indirect algorithms (e.g. Marching Cubes) create an…

Graphics · Computer Science 2022-04-14 Ágostons Sipos , Péter Salvi

The need for fast, effective and accurate surveys have become increasingly necessary. A major part of the research is supported by photographic surveys which are used for capturing expansive natural surfaces using a wide range of sensors --…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Maniratnam Mandal

High-efficient direct numerical methods are currently in demand for optimization procedures in the fields of both conventional diffractive and metasurface optics. With a view of extending the scope of application of the previously proposed…

Computational Physics · Physics 2019-09-04 Alexey A. Shcherbakov

We introduce a novel offset meshing approach that can robustly handle a 3D surface mesh with an arbitrary geometry and topology configurations, while nicely capturing the sharp features on the original input for both inward and outward…

Graphics · Computer Science 2024-12-23 Hongyi Cao , Gang Xu , Renshu Gu , Jinlan Xu , Xiaoyu Zhang , Timon Rabczuk , Yuzhe Luo , Xifeng Gao

In recent years, algorithm unrolling has emerged as a powerful technique for designing interpretable neural networks based on iterative algorithms. Imaging inverse problems have particularly benefited from unrolling-based deep network…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Yanan Zhao , Yuelong Li , Haichuan Zhang , Vishal Monga , Yonina C. Eldar

We propose a method for predicting the 3D shape of a deformable surface from a single view. By contrast with previous approaches, we do not need a pre-registered template of the surface, and our method is robust to the lack of texture and…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Albert Pumarola , Antonio Agudo , Lorenzo Porzi , Alberto Sanfeliu , Vincent Lepetit , Francesc Moreno-Noguer

This paper presents a point cloud based robotic system for arc welding. Using hand gesture controls, the system scans partial point cloud views of workpiece and reconstructs them into a complete 3D model by a linear iterative closest point…

Robotics · Computer Science 2020-11-25 Peng Zhou , Rui Peng , Maggie Xu , Victor Wu , David Navarro-Alarcon

This paper is concerned with the inverse scattering problem by an unbounded rough surface. A direct imaging method is proposed to reconstruct the rough surface from the scattered near-field Cauchy data generating by point sources and…

Numerical Analysis · Mathematics 2018-05-01 Xiaoli Liu , Bo Zhang , Haiwen Zhang

Line detection is widely used in many robotic tasks such as scene recognition, 3D reconstruction, and simultaneous localization and mapping (SLAM). Compared to points, lines can provide both low-level and high-level geometrical information…

Robotics · Computer Science 2025-08-12 Xiao Lin , Chen Wang

Recent work has shown the ability to learn generative models for 3D shapes from only unstructured 2D images. However, training such models requires differentiating through the rasterization step of the rendering process, therefore past work…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Sebastian Lunz , Yingzhen Li , Andrew Fitzgibbon , Nate Kushman

In this work, we study the perception problem for sampled surfaces (possibly with boundary) using tools from computational topology, specifically, how to identify their underlying topology starting from point-cloud samples in space, such as…

Computational Geometry · Computer Science 2024-10-17 Franco Coltraro , Jaume Amorós , Maria Alberich-Carramiñana , Carme Torras

In robotic surgery, pattern cutting through a deformable material is a challenging research field. The cutting procedure requires a robot to concurrently manipulate a scissor and a gripper to cut through a predefined contour trajectory on…

Robotics · Computer Science 2019-02-15 Ngoc Duy Nguyen , Thanh Nguyen , Saeid Nahavandi , Asim Bhatti , Glenn Guest

In the present paper, a new type of ruled surfaces called osculating-type (OT)-ruled surface is introduced and studied. First, a new orthonormal frame is defined for OT-ruled surfaces. The Gaussian and the mean curvatures of these surfaces…

Differential Geometry · Mathematics 2020-06-12 Onur Kaya , Tanju Kahraman , Mehmet Önder