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This paper presents a restricted visual Turing test (VTT) for story-line based deep understanding in long-term and multi-camera captured videos. Given a set of videos of a scene (such as a multi-room office, a garden, and a parking lot.)…

Computer Vision and Pattern Recognition · Computer Science 2015-12-17 Hang Qi , Tianfu Wu , Mun-Wai Lee , Song-Chun Zhu

We consider the problem of routing on a network in the presence of line segment constraints (i.e., obstacles that edges in our network are not allowed to cross). Let $P$ be a set of $n$ points in the plane and let $S$ be a set of…

Computational Geometry · Computer Science 2019-01-03 Prosenjit Bose , Matias Korman , André van Renssen , Sander Verdonschot

Consider two entities with constant but not necessarily equal velocities, moving on two given piece-wise linear trajectories inside a simple polygon $P$. The Trajectory Range Visibility problem deals with determining the sub-trajectories on…

Computational Geometry · Computer Science 2023-02-28 Seyed Mohammad Hussein Kazemi , Arash Vaezi , Mohammad Ali Abam , Mohammad Ghodsi

Chain-of-Thought reasoning has driven large language models to extend from thinking with text to thinking with images and videos. However, different modalities still have clear limitations: static images struggle to represent temporal…

Artificial Intelligence · Computer Science 2026-02-04 Andong Chen , Wenxin Zhu , Qiuyu Ding , Yuchen Song , Muyun Yang , Tiejun Zhao

Circular layouts are a popular graph drawing style, where vertices are placed on a circle and edges are drawn as straight chords. Crossing minimization in circular layouts is \NP-hard. One way to allow for fewer crossings in practice are…

Computational Geometry · Computer Science 2018-03-16 Fabian Klute , Martin Nöllenburg

The concept of $k$-planarity is extensively studied in the context of Beyond Planarity. A graph is $k$-planar if it admits a drawing in the plane in which each edge is crossed at most $k$ times. The local crossing number of a graph is the…

Data Structures and Algorithms · Computer Science 2025-08-28 Tatsuya Gima , Yasuaki Kobayashi , Yuto Okada

The maximum rectilinear crossing number of a graph $G$ is the maximum number of crossings in a good straight-line drawing of $G$ in the plane. In a good drawing any two edges intersect in at most one point (counting endpoints), no three…

Combinatorics · Mathematics 2021-08-23 Joshua Fallon , Kirsten Hogenson , Lauren Keough , Mario Lomelí , Marcus Schaefer , Pablo Soberón

Visual storytelling aims to automatically generate a coherent story based on a given image sequence. Unlike tasks like image captioning, visual stories should contain factual descriptions, worldviews, and human social commonsense to put…

Computer Vision and Pattern Recognition · Computer Science 2024-02-02 Eileen Wang , Soyeon Caren Han , Josiah Poon

Recent vision-centric approaches have made significant strides in long-context modeling. Represented by DeepSeek-OCR, these models encode rendered text into continuous vision tokens, achieving high compression rates without sacrificing…

Machine Learning · Computer Science 2026-02-04 Shuxin Zhuang , Zi Liang , Runsheng Yu , Hongzong Li , Rong Feng , Shiqin Tang , Youzhi Zhang

The ability for computational agents to reason about the high-level content of real world scene images is important for many applications. Existing attempts at addressing the problem of complex scene understanding lack representational…

Computer Vision and Pattern Recognition · Computer Science 2018-02-20 Zachary A. Daniels , Dimitris N. Metaxas

The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. This paper deals with finding perfect matchings, spanning trees, or…

Computational Geometry · Computer Science 2008-09-05 Sandor P. Fekete , Marco Luebbecke , Henk Meijer

The exponential growth of data has outpaced human ability to process information, necessitating innovative approaches for effective human-data interaction. To transform raw data into meaningful insights, storytelling, and visualization have…

This paper studies graphs that have two tree decompositions with the property that every bag from the first decomposition has a bounded-size intersection with every bag from the second decomposition. We show that every graph in each of the…

Combinatorics · Mathematics 2018-05-21 Vida Dujmović , Gwenaël Joret , Pat Morin , Sergey Norin , David R. Wood

In the classic Minimum Bisection problem we are given as input a graph $G$ and an integer $k$. The task is to determine whether there is a partition of $V(G)$ into two parts $A$ and $B$ such that $||A|-|B|| \leq 1$ and there are at most $k$…

Data Structures and Algorithms · Computer Science 2014-03-19 Marek Cygan , Daniel Lokshtanov , Marcin Pilipczuk , Michał Pilipczuk , Saket Saurabh

We consider a class of pattern matching problems where a normalising transformation is applied at every alignment. Normalised pattern matching plays a key role in fields as diverse as image processing and musical information processing…

Data Structures and Algorithms · Computer Science 2015-03-19 Ayelet Butman , Peter Clifford , Raphael Clifford , Markus Jalsenius , Noa Lewenstein , Benny Porat , Ely Porat , Benjamin Sach

Discovering content and stories in movies is one of the most important concepts in multimedia content research studies. Network models have proven to be an efficient choice for this purpose. When an audience watches a movie, they usually…

Machine Learning · Computer Science 2019-10-22 Youssef Mourchid , Benjamin Renoust , Olivier Roupin , Le Van , Hocine Cherifi , Mohammed El Hassouni

We consider several problems related to packing forests in graphs. The first one is to find $k$ edge-disjoint forests in a directed graph $G$ of maximal size such that the indegree of each vertex in these forests is at most $k$. We describe…

Data Structures and Algorithms · Computer Science 2026-01-26 Pavel Arkhipov , Vladimir Kolmogorov

In the \emph{$k$-Diameter-Optimally Augmenting Tree Problem} we are given a tree $T$ of $n$ vertices as input. The tree is embedded in an unknown \emph{metric} space and we have unlimited access to an oracle that, given two distinct…

Data Structures and Algorithms · Computer Science 2023-05-30 Davide Bilò , Luciano Gualà , Stefano Leucci , Luca Pepè Sciarria

Multimodal story customization aims to generate coherent story flows conditioned on textual descriptions, reference identity images, and shot types. While recent progress in story generation has shown promising results, most approaches rely…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Wei-Hua Li , Cheng Sun , Chu-Song Chen

We consider hypergraph visualizations that represent vertices as points in the plane and hyperedges as curves passing through the points of their incident vertices. Specifically, we consider several different variants of this problem by (a)…

Computational Geometry · Computer Science 2025-06-09 Alexander Dobler , Stephen Kobourov , Debajyoti Mondal , Martin Nöllenburg
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