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Boundary labeling is a well-known method for displaying short textual labels for a set of point features in a figure alongside the boundary of that figure. Labels and their corresponding points are connected via crossing-free leaders. We…

Computational Geometry · Computer Science 2024-09-06 Annika Bonerath , Martin Nöllenburg , Soeren Terziadis , Markus Wallinger , Jules Wulms

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

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

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

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

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

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

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

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

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

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

Arbitrary-oriented object detection has been a building block for rotation sensitive tasks. We first show that the boundary problem suffered in existing dominant regression-based rotation detectors, is caused by angular periodicity or…

Computer Vision and Pattern Recognition · Computer Science 2022-03-24 Xue Yang , Junchi Yan

In the context of changing travel behaviors and the expanding user base of Geographic Information System (GIS) services, conventional centralized architectures responsible for handling shortest distance queries are facing increasing…

Databases · Computer Science 2024-03-19 Xiubo Zhang , Yujie He , Ye Li , Yan Li , Zijie Zhou , Dongyao Wei , Ryan

The increased availability of interactive maps on the Internet and on personal mobile devices has created new challenges in computational cartography and, in particular, for label placement in maps. Operations like rotation, zoom, and…

Computational Geometry · Computer Science 2016-09-22 Lukas Barth , Benjamin Niedermann , Martin Nöllenburg , Darren Strash

Legible labels should not overlap with other labels and other marks in a chart. When a chart contains a large number of data points, manually positioning these labels for each data point in the chart is a tedious task. A labeling algorithm…

Graphics · Computer Science 2024-08-05 Chanwut Kittivorawong

In three-dimensional geographical scenes, adding labels with leader lines to point features can significantly improve their visibility. Leadered labels have a large degree of freedom in position con-figuration, but existing methods are…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Zhiwei Wei , Nai Yang , Wenjia Xu , Su Ding , Li Minmin , Li You , Guo Renzhong

In the context of distance oracles, a labeling algorithm computes vertex labels during preprocessing. An $s,t$ query computes the corresponding distance from the labels of $s$ and $t$ only, without looking at the input graph. Hub labels is…

Data Structures and Algorithms · Computer Science 2013-06-25 Andrew V. Goldberg , Ilya Razenshteyn , Ruslan Savchenko

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

In the Area Labeling Problem one is after placing the label of a geographic area. Given the outer boundary of the area and an optional set of holes. The goal is to find a label position such that the label spans the area and is conform to…

Human-Computer Interaction · Computer Science 2020-01-10 Filip Krumpe , Thomas Mendel
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