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Related papers: Boundary Labeling in a Circular Orbit

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Circular interfaces such as those found on smartwatches, automotive dashboards, cockpit instruments, or in radial visualizations pose unique challenges for placing readable labels. Traditional rectangular labeling methods waste screen space…

Human-Computer Interaction · Computer Science 2026-03-10 Markus Wallinger , Annika Bonerath , Soeren Terziadis , Jules Wulms , Martin Nöllenburg

Boundary labeling is a technique in computational geometry used to label sets of features in an illustration. It involves placing labels along an axis-parallel bounding box and connecting each label with its corresponding feature using…

Computational Geometry · Computer Science 2025-05-08 Thomas Depian , Martin Nöllenburg , Soeren Terziadis , Markus Wallinger

In the Boundary Labeling problem, we are given a set of $n$ points, referred to as sites, inside an axis-parallel rectangle $R$, and a set of $n$ pairwise disjoint rectangular labels that are attached to $R$ from the outside. The task is to…

Computational Geometry · Computer Science 2018-09-10 Philipp Kindermann , Benjamin Niedermann , Ignaz Rutter , Marcus Schaefer , André Schulz , Alexander Wolff

Boundary labeling deals with annotating features in images such that labels are placed outside of the image and are connected by curves (so-called leaders) to the corresponding features. While boundary labeling has been extensively…

Computational Geometry · Computer Science 2015-09-02 Lukas Barth , Andreas Gemsa , Benjamin Niedermann , Martin Nöllenburg

Given a set of $n$ points (sites) inside a rectangle $R$ and $n$ points (label locations or ports) on its boundary, a boundary labeling problem seeks ways of connecting every site to a distinct port while achieving different labeling…

Computational Geometry · Computer Science 2018-03-30 Prosenjit Bose , Paz Carmi , J. Mark Keil , Saeed Mehrabi , Debajyoti Mondal

Point feature map labeling is a geometric problem, in which a set of input points must be labeled with a set of disjoint rectangles (the bounding boxes of the label texts). Typically, labeling models either use internal labels, which must…

Computational Geometry · Computer Science 2015-01-28 Maarten Löffler , Martin Nöllenburg , Frank Staals

A 1-bend boundary labelling problem consists of an axis-aligned rectangle $B$, $n$ points (called sites) in the interior, and $n$ points (called ports) on the labels along the boundary of $B$. The goal is to find a set of $n$ axis-aligned…

Computational Geometry · Computer Science 2020-02-25 Prosenjit Bose , Saeed Mehrabi , Debajyoti Mondal

In this paper we study \emph{many-to-one boundary labeling with backbone leaders}. In this new many-to-one model, a horizontal backbone reaches out of each label into the feature-enclosing rectangle. Feature points that need to be connected…

External labeling is frequently used for annotating features in graphical displays and visualizations, such as technical illustrations, anatomical drawings, or maps, with textual information. Such a labeling connects features within an…

Computational Geometry · Computer Science 2019-06-25 Michael A. Bekos , Benjamin Niedermann , Martin Nöllenburg

The usefulness of technical drawings as well as scientific illustrations such as medical drawings of human anatomy essentially depends on the placement of labels that describe all relevant parts of the figure. In order to not spoil or…

Computational Geometry · Computer Science 2017-02-08 Benjamin Niedermann , Martin Nöllenburg , Ignaz Rutter

Semantic boundary and edge detection aims at simultaneously detecting object edge pixels in images and assigning class labels to them. Systematic training of predictors for this task requires the labeling of edges in images which is a…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Jing Yu Koh , Wojciech Samek , Klaus-Robert Müller , Alexander Binder

A distance labeling scheme is an assignments of labels, that is binary strings, to all nodes of a graph, so that the distance between any two nodes can be computed from their labels and the labels are as short as possible. A major open…

Data Structures and Algorithms · Computer Science 2016-11-22 Paweł Gawrychowski , Przemysław Uznański

Visualizing spatial data on small-screen devices such as smartphones and smartwatches poses new challenges in computational cartography. The current interfaces for map exploration require their users to zoom in and out frequently. Indeed,…

Data Structures and Algorithms · Computer Science 2020-09-01 Sven Gedicke , Annika Bonerath , Benjamin Niedermann , Jan-Henrik Haunert

Hub Labeling (HL) is one of the state-of-the-art preprocessing-based techniques for route planning in road networks. It is a special incarnation of distance labeling, and it is well-studied in both theory and practice. The core concept of…

Data Structures and Algorithms · Computer Science 2022-08-19 Johannes Blum , Sabine Storandt

We consider the following problem of labeling points in a dynamic map that allows rotation. We are given a set of points in the plane labeled by a set of mutually disjoint labels, where each label is an axis-aligned rectangle attached with…

Computational Geometry · Computer Science 2014-04-08 Andreas Gemsa , Martin Nöllenburg , Ignaz Rutter

The problem of Distance Edge Labeling is a variant of Distance Vertex Labeling (also known as $L_{2,1}$ labeling) that has been studied for more than twenty years and has many applications, such as frequency assignment. The Distance Edge…

Discrete Mathematics · Computer Science 2022-03-17 Dušan Knop , Tomáš Masařík

We show that the following variant of labeling rotating maps is NP-hard, and present a polynomial approximation scheme for solving it. The input is a set of feature points on a map, to each of which a vertical bar of zero width is assigned.…

Computational Geometry · Computer Science 2019-07-31 Ali Gholami Rudi

Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices $u$ and $v$ can be determined efficiently by merely inspecting the labels of $u$ and $v$,…

Discrete Mathematics · Computer Science 2020-07-07 Victor Chepoi , Arnaud Labourel , Sebastien Ratel

A routing labeling scheme assigns a binary string, called a label, to each node in a network, and chooses a distinct port number from $\{1,\ldots,d\}$ for every edge outgoing from a node of degree $d$. Then, given the labels of $u$ and $w$…

Data Structures and Algorithms · Computer Science 2020-03-17 Paweł Gawrychowski , Wojciech Janczewski , Jakub Łopuszański

This paper defines the toroidal small world labeling problem that asks for a labeling of the vertices of a network such that the labels possess information that allows a compact routing scheme in the network. We consider the problem over a…

Data Structures and Algorithms · Computer Science 2019-11-13 Santiago Viertel , André Luís Vignatti
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