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Game-Based Learning has proven to be an effective method for enhancing engagement with educational material. However, gaining a deeper understanding of player strategies remains challenging. Sequential game-state and action-based tracking…

Human-Computer Interaction · Computer Science 2025-07-03 Braden Roper , William Thompson , Chris Weaver

Convexity, though extremely important in mathematical programming, has not drawn enough attention in the field of dynamic programming. This paper gives conditions for verifying convexity of the cost-to-go functions, and introduces an…

Optimization and Control · Mathematics 2011-11-14 Sheng Yu , Enrique Campos-Nanez

Computer-aided design (CAD) is a way to digitally create 2D drawings and 3D models of real-world products. Traditional CAD typically relies on hand-drawing by experts or modifications of existing library files, which doesn't allow for rapid…

Graphics · Computer Science 2025-05-14 Changqi He , Shuhan Zhang , Liguo Zhang , Jiajun Miao

We equip dynamic geometry software (DGS) with a user-friendly method that enables massively parallel calculations on the graphics processing unit (GPU). This interplay of DGS and GPU opens up various applications in education and…

Mathematical Software · Computer Science 2018-08-15 Aaron Montag , Jürgen Richter-Gebert

Representing source code in a generic input format is crucial to automate software engineering tasks, e.g., applying machine learning algorithms to extract information. Visualizing code representations can further enable human experts to…

Software Engineering · Computer Science 2023-07-28 Yuejun Guo , Seifeddine Bettaieb , Qiang Hu , Yves Le Traon , Qiang Tang

Motion graphics videos are widely used in Web design, digital advertising, animated logos and film title sequences, to capture a viewer's attention. But editing such video is challenging because the video provides a low-level sequence of…

Graphics · Computer Science 2023-10-04 Sharon Zhang , Jiaju Ma , Jiajun Wu , Daniel Ritchie , Maneesh Agrawala

Animated transitions help viewers understand changes between related visualizations. To clearly present the underlying relations between statistical charts, animation authors need to have a high level of expertise and a considerable amount…

Human-Computer Interaction · Computer Science 2022-10-12 Wenchao Li , Yun Wang , He Huang , Weiwei Cui , Haidong Zhang , Huamin Qu , Dongmei Zhang

Text animation serves as an expressive medium, transforming static communication into dynamic experiences by infusing words with motion to evoke emotions, emphasize meanings, and construct compelling narratives. Crafting animations that are…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Zichen Liu , Yihao Meng , Hao Ouyang , Yue Yu , Bolin Zhao , Daniel Cohen-Or , Huamin Qu

Many programming problems call for turning geometrical thoughts into code: tables, hierarchical structures, nests of objects, trees, forests, graphs, and so on. Linear text does not do justice to such thoughts. But, it has been the dominant…

Programming Languages · Computer Science 2020-10-27 Leif Andersen , Michael Ballantyne , Matthias Felleisen

Augmenting teaching with visualization can help students understand concepts better. Researchers have leveraged visualization to teach conventional mathematics some examples being spatial and origami visualizations. Apart from conventional…

Computers and Society · Computer Science 2022-05-19 Noble Saji Mathews , Akhila Sri Manasa Venigalla , Sridhar Chimalakonda

Understanding complex scientific and mathematical concepts, particularly those presented in dense research papers, poses a significant challenge for learners. Dynamic visualizations can greatly enhance comprehension, but creating them…

Artificial Intelligence · Computer Science 2025-10-14 Samarth P , Vyoman Jain , Shiva Golugula , Motamarri Sai Sathvik

Making quantum mechanical equations and concepts come to life through interactive simulation and visualization are commonplace for augmenting learning and teaching. However, graphical visualizations nearly always exhibit a set of hard-coded…

IWIMS (WWW Interactive Multipurpose Server) offers interactive resources designed over the past 20 years for teaching in various subjects (particularly focusing on mathematics, but also in biology, chemistry, economics, languages, physics),…

History and Overview · Mathematics 2020-02-05 Marina , Cazzola , Sophie , Lemaire , Bernadette , Perrin-Riou

Animation elevates digital documents into immersive experiences, yet creating custom motion paths remains cumbersome, requiring designers to manually select presets, plot B\'ezier points, and configure timing properties. We introduce…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Mannat Khurana , Sanyam Jain , Rishav Agarwal

The area of geometry with its very strong and appealing visual contents and its also strong and appealing connection between the visual content and its formal specification, is an area where computational tools can enhance, in a significant…

Computational Geometry · Computer Science 2012-02-23 Vanda Santos , Pedro Quaresma

In this article, we will formulate a mathematical framework that allows us to treat character animations as points on infinite dimensional Hilbert manifolds. Constructing geodesic paths between animations on those manifolds allows us to…

Differential Geometry · Mathematics 2014-05-19 Markus Eslitzbichler

The task of crafting procedural programs capable of generating structurally valid 3D shapes easily and intuitively remains an elusive goal in computer vision and graphics. Within the graphics community, generating procedural 3D models has…

Graphics · Computer Science 2025-03-21 Ofek Pearl , Itai Lang , Yuhua Hu , Raymond A. Yeh , Rana Hanocka

Computer programming is undergoing a true transformation driven by powerful new tools for automatic source code generation based on large language models. This transformation is also manifesting in introductory programming courses at…

Computers and Society · Computer Science 2025-07-02 Clemente Rubio-Manzano , Jazna Meza , Rodolfo Fernandez-Santibanez , Christian Vidal-Castro

We describe some progress towards a new common framework for model driven engineering, based on behavioral programming. The tool we have developed unifies almost all of the work done in behavioral programming so far, under a common set of…

Software Engineering · Computer Science 2018-06-05 Michael Bar-Sinai , Gera Weiss , Reut Shmuel

Modern CAD tools represent 3D designs not only as geometry, but also as a program composed of geometric operations, each of which depends on a set of parameters. Program representations enable meaningful and controlled shape variations via…

Graphics · Computer Science 2021-10-05 Dan Cascaval , Mira Shalah , Phillip Quinn , Rastislav Bodik , Maneesh Agrawala , Adriana Schulz