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A perturbative technique, the low-temperature expansion, is developed for matrix models of random surfaces. It can be applied to models with arbitrary target spaces, including ones with c>1. As a simple illustration, the series is worked…

High Energy Physics - Theory · Physics 2007-05-23 Mark Wexler

Co-creative Procedural Content Generation via Machine Learning (PCGML) refers to systems where a PCGML agent and a human work together to produce output content. One of the limitations of co-creative PCGML is that it requires co-creative…

Machine Learning · Computer Science 2021-07-28 Zisen Zhou , Matthew Guzdial

Automated generation and (user) authoring of the realistic virtual terrain is most sought for by the multimedia applications like VR models and gaming. The most common representation adopted for terrain is Digital Elevation Model (DEM).…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 Shanthika Naik , Aryamaan Jain , Avinash Sharma , KS Rajan

Simulating bipartite games, such as the trust game, is not straightforward due to the lack of a natural way to distinguish roles in a single population. The square lattice topology can provide a simple yet elegant solution by alternating…

Physics and Society · Physics 2025-08-12 Chaoqian Wang , Wei Zhang , Xinwei Wang , Attila Szolnoki

This paper introduces a method to extract a hierarchical tree representation from 3D unorganized polygonal data. The proposed approach first extracts a graph representation of the surface, which serves as the foundation for structural…

Graphics · Computer Science 2025-10-21 Diogo de Andrade , Nuno Fachada

Despite the astonishing progress in generative AI, 4D dynamic object generation remains an open challenge. With limited high-quality training data and heavy computing requirements, the combination of hallucinating unseen geometry together…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Lu Sang , Zehranaz Canfes , Dongliang Cao , Riccardo Marin , Florian Bernard , Daniel Cremers

3D shape generation is a challenging problem due to the high-dimensional output space and complex part configurations of real-world objects. As a result, existing algorithms experience difficulties in accurate generative modeling of 3D…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Salman H. Khan , Yulan Guo , Munawar Hayat , Nick Barnes

A translational surface is a tensor product surface constructed from two space curves by translating one along the other. These surfaces are common within geometric modeling and, since their description is parametric, it is desirable to…

Algebraic Geometry · Mathematics 2026-02-20 Matthew Weaver

Explorable 3D world generation from a single image or text prompt forms a cornerstone of spatial intelligence. Recent works utilize video model to achieve wide-scope and generalizable 3D world generation. However, existing approaches often…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Zhongqi Yang , Wenhang Ge , Yuqi Li , Jiaqi Chen , Haoyuan Li , Mengyin An , Fei Kang , Hua Xue , Baixin Xu , Yuyang Yin , Eric Li , Yang Liu , Yikai Wang , Hao-Xiang Guo , Yahui Zhou

A surface with boundary is randomly generated by gluing polygons along some of their sides. We show that its genus and number of boundary components asymptotically follow a bivariate normal distribution.

Combinatorics · Mathematics 2021-04-21 Chaim Even-Zohar , Michael Farber

The visual world we sense, interpret and interact everyday is a complex composition of interleaved physical entities. Therefore, it is a very challenging task to generate vivid scenes of similar complexity using computers. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Mehmet Ozgur Turkoglu , William Thong , Luuk Spreeuwers , Berkay Kicanaoglu

With increasing interest in procedural content generation by academia and game developers alike, it is vital that different approaches can be compared fairly. However, evaluating procedurally generated video game levels is often difficult,…

Artificial Intelligence · Computer Science 2024-10-28 Michael Beukman , Steven James , Christopher Cleghorn

Generative Adversarial Networks (GANs) are proving to be a powerful indirect genotype-to-phenotype mapping for evolutionary search, but they have limitations. In particular, GAN output does not scale to arbitrary dimensions, and there is no…

Neural and Evolutionary Computing · Computer Science 2020-04-07 Jacob Schrum , Vanessa Volz , Sebastian Risi

Procedural content generation (PCG) concerns all sorts of algorithms and tools which automatically produce game content, without requiring manual authoring by game artists. Besides generating com-plex static meshes, the PCG core usually…

Graphics · Computer Science 2018-08-02 Anthony Savidis

We propose the problem of tutorial generation for games, i.e. to generate tutorials which can teach players to play games, as an AI problem. This problem can be approached in several ways, including generating natural language descriptions…

Artificial Intelligence · Computer Science 2018-05-31 Michael Cerny Green , Ahmed Khalifa , Gabriella A. B. Barros , Julian Togelius

There has been significant research interest in Procedural Level Generation via Machine Learning (PLGML), applying ML techniques to automated level generation. One recent trend is in the direction of learning representations for level…

Machine Learning · Computer Science 2022-10-25 Mrunal Jadhav , Matthew Guzdial

Despite the remarkable developments achieved by recent 3D generation works, scaling these methods to geographic extents, such as modeling thousands of square kilometers of Earth's surface, remains an open challenge. We address this through…

Computer Vision and Pattern Recognition · Computer Science 2025-07-24 Shang Liu , Chenjie Cao , Chaohui Yu , Wen Qian , Jing Wang , Fan Wang

Text-driven 3D scene generation holds promise for a wide range of applications, from virtual prototyping to AR/VR and simulation. However, existing methods are often constrained to single-object generation, require domain-specific training,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Hanke Chen , Yuan Liu , Minchen Li

Generative adversarial networks (GANs) are quickly becoming a ubiquitous approach to procedurally generating video game levels. While GAN generated levels are stylistically similar to human-authored examples, human designers often want to…

Artificial Intelligence · Computer Science 2021-06-22 Matthew C. Fontaine , Ruilin Liu , Ahmed Khalifa , Jignesh Modi , Julian Togelius , Amy K. Hoover , Stefanos Nikolaidis

Generating accurate 3D models is a challenging problem that traditionally requires explicit learning from 3D datasets using supervised learning. Although recent advances have shown promise in learning 3D models from 2D images, these methods…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Qijia Shen , Guangrun Wang
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