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Related papers: Solving Archaeological Puzzles

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Learning visual features from unlabeled image data is an important yet challenging task, which is often achieved by training a model on some annotation-free information. We consider spatial contexts, for which we solve so-called jigsaw…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chen Wei , Lingxi Xie , Xutong Ren , Yingda Xia , Chi Su , Jiaying Liu , Qi Tian , Alan L. Yuille

Aesthetics, among other criteria, can be statistically examined in terms of the complexity required for creating and decrypting a work of art. We propose three laws of aesthetic complexity. According to the first law of aesthetic…

Popular Physics · Physics 2009-09-29 Karl Svozil

We introduce a family of reconfiguration puzzles arising from ideas in geometry and topology. We present their construction from square-tiled shapes, discuss some of the underlying mathematics and describe how they are naturally associated…

Geometric Topology · Mathematics 2022-08-03 Mario Gutiérrez , Hugo Parlier , Paul Turner

To endow machines with the ability to perceive the real-world in a three dimensional representation as we do as humans is a fundamental and long-standing topic in Artificial Intelligence. Given different types of visual inputs such as…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Bo Yang

The world is structured in countless ways. It may be prudent to enforce corresponding structural properties to a learning algorithm's solution, such as incorporating prior beliefs, natural constraints, or causal structures. Doing so may…

Machine Learning · Computer Science 2021-11-30 Francesco Locatello

Solving Sudoku puzzles is one of the most popular pastimes in the world. Puzzles range in difficulty from easy to very challenging; the hardest puzzles tend to have the most empty cells. The current paper explains and compares three…

Optimization and Control · Mathematics 2013-05-17 Eric C. Chi , Kenneth Lange

The application of computer technology in the field of art has given rise to novel modes of artistic practice, including media art, and it is a necessity to find a commensurable conceptual fundament. Therefore, computer art starting from…

Computers and Society · Computer Science 2022-01-11 Tianhua Zhu

How best to quantify the information of an object, whether natural or artifact, is a problem of wide interest. A related problem is the computability of an object. We present practical examples of a new way to address this problem. By…

Artificial Intelligence · Computer Science 2011-06-14 Fionn Murtagh

Cognitive science and theoretical computer science both seek to classify and explain the difficulty of tasks. Mechanisms of intelligence are those that reduce task difficulty. Here we map concepts from the computational complexity of a…

Artificial Intelligence · Computer Science 2025-09-17 Gülce Kardeş , David Krakauer , Joshua Grochow

In many retrieval problems, where we must retrieve one or more entries from a gallery in response to a probe, it is common practice to learn to do by directly comparing the probe and gallery entries to one another. In many situations the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Yandong Wen , Mahmoud Al Ismail , Bhiksha Raj , Rita Singh

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

We propose to employ scale spaces of mathematical morphology to hierarchically simplify fracture surfaces of complementarity fitting archaeological fragments. This representation preserves complementarity and is insensitive to different…

Computational Geometry · Computer Science 2019-03-26 Hanan ElNaghy , Leo Dorst

In this paper, we propose a learning-based image fragment pair-searching and -matching approach to solve the challenging restoration problem. Existing works use rule-based methods to match similar contour shapes or textures, which are…

Computer Vision and Pattern Recognition · Computer Science 2025-01-23 Rixin Zhou , Ding Xia , Yi Zhang , Honglin Pang , Xi Yang , Chuntao Li

3D reconstruction techniques have widely been used for digital documentation of archaeological fragments. However, efficient digital capture of fragments remains as a challenge. In this work, we aim to develop a portable, high-throughput,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Jiepeng Wang , Congyi Zhang , Peng Wang , Xin Li , Peter J. Cobb , Christian Theobalt , Wenping Wang

We propose a method to recover the structure of a compound object from multiple silhouettes. Structure is expressed as a collection of 3D primitives chosen from a pre-defined library, each with an associated pose. This has several…

Computer Vision and Pattern Recognition · Computer Science 2014-02-27 Anton van den Hengel , John Bastian , Anthony Dick , Lachlan Fleming

Over the past 30 years many researchers in the field of evolutionary computation have put a lot of effort to introduce various approaches for solving hard problems. Most of these problems have been inspired by major industries so that…

Neural and Evolutionary Computing · Computer Science 2016-06-23 Mohammad Reza Bonyadi , Zbigniew Michalewicz , Frank Neumann , Markus Wagner

A fundamental problem in computer vision is that of inferring the intrinsic, 3D structure of the world from flat, 2D images of that world. Traditional methods for recovering scene properties such as shape, reflectance, or illumination rely…

Computer Vision and Pattern Recognition · Computer Science 2020-10-09 Jonathan T. Barron , Jitendra Malik

Puzzle solving is a combinatorial challenge due to the difficulty of matching adjacent pieces. Instead, we infer a mental image from all pieces, which a given piece can then be matched against avoiding the combinatorial explosion.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Davide Talon , Alessio Del Bue , Stuart James

The recovery of severely damaged ancient written documents has proven to be a major challenge for many scientists, mainly due to the impracticality of physical unwrapping them. Non-destructive techniques, such as X-ray computed tomography…

Image and Video Processing · Electrical Eng. & Systems 2025-05-05 Sonia Foschiatti , Axel Kittenberger , Otmar Scherzer

This paper studies the problem of 3D volumetric reconstruction from two views of a scene with an unknown camera. While seemingly easy for humans, this problem poses many challenges for computers since it requires simultaneously…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Shengyi Qian , Linyi Jin , David F. Fouhey