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Structure from Motion or the sparse 3D reconstruction out of individual photos is a long studied topic in computer vision. Yet none of the existing reconstruction pipelines fully addresses a progressive scenario where images are only…

Computer Vision and Pattern Recognition · Computer Science 2018-07-12 Alex Locher , Michal Havlena , Luc Van Gool

Reconstruction of geometry based on different input modes, such as images or point clouds, has been instrumental in the development of computer aided design and computer graphics. Optimal implementations of these applications have…

Computer Vision and Pattern Recognition · Computer Science 2019-01-15 Jun Gao , Chengcheng Tang , Vignesh Ganapathi-Subramanian , Jiahui Huang , Hao Su , Leonidas J. Guibas

Humans tend to build environments with structure, which consists of mainly planar surfaces. From the intersection of planar surfaces arise straight lines. Lines have more degrees-of-freedom than points. Thus, line-based…

Robotics · Computer Science 2021-06-01 André Mateus , Omar Tahri , A. Pedro Aguiar , Pedro U. Lima , Pedro Miraldo

This paper presents a spline-based parameterisation framework for plane graphs. The plane graph is characterised by a collection of curves forming closed loops that fence-off planar faces which have to be parameterised individually. Hereby,…

Numerical Analysis · Mathematics 2024-09-02 Jochen Hinz

We present a unified framework for 3D geometric abstraction using a single continuous 4D wire, parameterized as a B-spline with spatial coordinates and variable width $(x,y,z,w)$. Existing approaches typically represent shapes as…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 Dong-Yi Wu , Tong-Yee Lee

This paper proposes a simple technique of curve and surface construction with B-splines. Given a control polygon or a control mesh together with node ordinates corresponding to all control points, a rational curve or surface is obtained by…

Numerical Analysis · Mathematics 2025-12-02 Xunnian Yang

Path following controllers make the output of a control system approach and traverse a pre-specified path with no apriori time parametrization. In this paper we present a method for path following control design applicable to framed curves…

Robotics · Computer Science 2015-12-11 Rajan Gill , Dana Kulić , Christopher Nielsen

We formulate as an inverse problem the construction of sparse parametric continuous curve models that fit a sequence of contour points. Our prior is incorporated as a regularization term that encourages rotation invariance and sparsity. We…

Image and Video Processing · Electrical Eng. & Systems 2022-06-28 Icíar Lloréns Jover , Thomas Debarre , Shayan Aziznejad , Michael Unser

This paper introduces a framework based on linear splines for 2-dimensional extended object tracking and classification. Unlike state of the art models, linear splines allow to represent extended objects whose contour is an arbitrarily…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Matteo Tesori , Giorgio Battistelli , Luigi Chisci

Image animation brings life to the static object in the source image according to the driving video. Recent works attempt to perform motion transfer on arbitrary objects through unsupervised methods without using a priori knowledge.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Jian Zhao , Hui Zhang

Accurate 3D reconstruction from unstructured image collections is a key requirement in applications such as robotics, mapping, and scene understanding. While global Structure from Motion (SfM) techniques rely on full image connectivity and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Muhammad Zeeshan , Umer Zaki , Syed Ahmed Pasha , Zaar Khizar

A reliable estimation of 3D parameters is a must for several applications like planning and control. Included in the latter is the Image-Based Visual Servoing, whose control scheme depends directly on 3D parameters e.g. depth of points, and…

Robotics · Computer Science 2018-12-13 André Mateus , Omar Tahri , Pedro Miraldo

Many real-world objects are designed by smooth curves, especially in the domain of aerospace and ship, where aerodynamic shapes (e.g., airfoils) and hydrodynamic shapes (e.g., hulls) are designed. To facilitate the design process of those…

Machine Learning · Computer Science 2021-01-06 Wei Chen , Mark Fuge

This paper presents a method for local motion planning in unstructured environments with static and moving obstacles, such as humans. Given a reference path and speed, our optimization-based receding-horizon approach computes a local…

Robotics · Computer Science 2020-10-21 Bruno Brito , Boaz Floor , Laura Ferranti , Javier Alonso-Mora

We describe a special case of structure from motion where the camera rotates on a sphere. The camera's optical axis lies perpendicular to the sphere's surface. In this case, the camera's pose is minimally represented by three rotation…

Computer Vision and Pattern Recognition · Computer Science 2016-09-06 Jonathan Ventura

Using a particle model of Physarum displaying emer- gent morphological adaptation behaviour we demonstrate how a minimal approach to collective material computation may be used to transform and summarise properties of spatially represented…

Emerging Technologies · Computer Science 2015-03-12 Jeff Jones , Andrew Adamatzky

This paper presents a two-stage prediction-based control scheme for embedding the environment's geometric properties into a collision-free Pythagorean Hodograph spline, and subsequently finding the optimal path within the parameterized free…

Robotics · Computer Science 2022-09-07 Jon Arrizabalaga , Markus Ryll

Advances in markerless pose estimation have made it possible to capture detailed human movement in naturalistic settings using standard video, enabling new forms of behavioral analysis at scale. However, the high dimensionality, noise, and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Carter Sale , Margaret C. Macpherson , Gaurav Patil , Kelly Miles , Rachel W. Kallen , Sebastian Wallot , Michael J. Richardson

A key step during industrial design is the passing of design information from computer aided design (CAD) to analysis tools (CAE) and vice versa. Here, one is faced with a severe incompatibility in geometry representation: While CAD is…

Computational Engineering, Finance, and Science · Computer Science 2023-07-18 Sebastian Hube , Roxana Pohlmann , Stefanie Elgeti

A new methodological approach for the study of topology for shapes made of arrangements of lines, planes or solids is presented. Topologies for shapes are traditionally built on the classical theory of point-sets. In this paper, topologies…

General Topology · Mathematics 2022-01-28 Alexandros Haridis
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