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In this paper we propose the first genetic algorithm (GA)-based solver for jigsaw puzzles of unknown puzzle dimensions and unknown piece location and orientation. Our solver uses a novel crossover technique, and sets a new state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

In this paper we propose the first effective automated, genetic algorithm (GA)-based jigsaw puzzle solver. We introduce a novel procedure of merging two "parent" solutions to an improved "child" solution by detecting, extracting, and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

In this paper we propose the first effective genetic algorithm (GA)-based jigsaw puzzle solver. We introduce a novel crossover procedure that merges two "parent" solutions to an improved "child" configuration by detecting, extracting, and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Dror Sholomon , Eli David , Nathan S. Netanyahu

The paper proposes a solution based on Generative Adversarial Network (GAN) for solving jigsaw puzzles. The problem assumes that an image is divided into equal square pieces, and asks to recover the image according to information provided…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Ru Li , Shuaicheng Liu , Guangfu Wang , Guanghui Liu , Bing Zeng

Jigsaw puzzle solving requires the rearrangement of unordered pieces into their original pose in order to reconstruct a coherent whole, often an image, and is known to be an intractable problem. While the possible impact of automatic puzzle…

Computer Vision and Pattern Recognition · Computer Science 2025-11-07 Yaniv Ohayon , Ofir Itzhak Shahar , Ohad Ben-Shahar

Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique…

Neural and Evolutionary Computing · Computer Science 2013-06-20 Tanistha Nayak , Tirtharaj Dash

We propose a novel Linear Program (LP) based formula- tion for solving jigsaw puzzles. We formulate jigsaw solving as a set of successive global convex relaxations of the stan- dard NP-hard formulation, that can describe both jigsaws with…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Rui Yu , Chris Russell , Lourdes Agapito

A genetic algorithm is suitable for exploring large search spaces as it finds an approximate solution. Because of this advantage, genetic algorithm is effective in exploring vast and unknown space such as molecular search space. Though the…

Neural and Evolutionary Computing · Computer Science 2021-12-24 Yurim Lee , Gydam Choi , Minsung Yoon , Cheongwon Kim

Jigsaw puzzle solving, the problem of constructing a coherent whole from a set of non-overlapping unordered visual fragments, is fundamental to numerous applications, and yet most of the literature of the last two decades has focused thus…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Peleg Harel Ofir Itzhak Shahar , Ohad Ben-Shahar

In this paper we present a novel genetic algorithm (GA) solution to a simple yet challenging commercial puzzle game known as the Zen Puzzle Garden (ZPG). We describe the game in detail, before presenting a suitable encoding scheme and…

Neural and Evolutionary Computing · Computer Science 2010-05-26 Jack Coldridge , Martyn Amos

This paper presents a versatile hybrid framework for addressing 2D real-world reconstruction tasks formulated as jigsaw puzzle problems (JPPs) with square, non-overlapping pieces. Our approach integrates a deep learning (DL)-based…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Daniel Rika , Dror Sholomon , Eli David , Alexandre Pais , Nathan S. Netanyahu

Archaeologists are in dire need of automated object reconstruction methods. Fragments reassembly is close to puzzle problems, which may be solved by computer vision algorithms. As they are often beaten on most image related tasks by deep…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Marie-Morgane Paumard , David Picard , Hedi Tabia

Jigsaw puzzle solving is an intriguing problem which has been explored in computer vision for decades. This paper focuses on a specific variant of the problem - solving puzzles with eroded boundaries. Such erosion makes the problem…

Image and Video Processing · Electrical Eng. & Systems 2019-12-03 Dov Bridger , Dov Danon , Ayellet Tal

In this work, we show how a genetic algorithm (GA) can be used to find step-by-step solutions to introductory physics problems. Our perspective is that the underlying task for this is one of finding a sequence of equations that will lead to…

Neural and Evolutionary Computing · Computer Science 2025-08-18 Tom Bensky , Justin Kopcinski

We present a novel method for solving square jigsaw puzzles based on global optimization. The method is fully automatic, assumes no prior information, and can handle puzzles with known or unknown piece orientation. At the core of the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Ben Vardi , Alessandro Torcinovich , Marina Khoroshiltseva , Marcello Pelillo , Ohad Ben-Shahar

The 0/1 knapsack problem is weakly NP-hard in that there exist pseudo-polynomial time algorithms based on dynamic programming that can solve it exactly. There are also the core branch and bound algorithms that can solve large randomly…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Shalin Shah

Working with exhaustive search on large dataset is infeasible for several reasons. Recently, developed techniques that made pattern set mining feasible by a general solver with long execution time that supports heuristic search and are…

Artificial Intelligence · Computer Science 2015-07-21 Shanjida Khatun , Hasib Ul Alam , Swakkhar Shatabda

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

This paper presents a competent selectomutative genetic algorithm (GA), that adapts linkage and solves hard problems quickly, reliably, and accurately. A probabilistic model building process is used to automatically identify key building…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Kumara Sastry , David E. Goldberg

Universal induction relies on some general search procedure that is doomed to be inefficient. One possibility to achieve both generality and efficiency is to specialize this procedure w.r.t. any given narrow task. However, complete…

Neural and Evolutionary Computing · Computer Science 2018-09-13 Alexey Potapov , Sergey Rodionov
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