Solving Square Jigsaw Puzzles with Loop Constraints

Son, Kwang Hee; Hays, James; Cooper, David B.

doi:10.1007/978-3-319-10599-4_3

Cited by 48 publications

(70 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Son et al [20] proposed a novel algorithm based on "loop constraints" for assembling jigsaw puzzles where the rotation and the position of each piece are unknown. Their key idea is to find all small loops, or cycles of pieces, and group these small loops into higher order "loops of loops", in a bottom-up fashion, to form a structure with no geometric conflict.…”

Section: B Pictorial Puzzlesmentioning

confidence: 99%

See 1 more Smart Citation

PSQP: Puzzle Solving by Quadratic Programming

Andaló

Taubin

Goldenstein

2017

IEEE Trans. Pattern Anal. Mach. Intell.

View full text Add to dashboard Cite

In this article we present the first effective method based on global optimization for the reconstruction of image puzzles comprising rectangle pieces-Puzzle Solving by Quadratic Programming (PSQP). The proposed novel mathematical formulation reduces the problem to the maximization of a constrained quadratic function, which is solved via a gradient ascent approach. The proposed method is deterministic and can deal with arbitrary identical rectangular pieces. We provide experimental results showing its effectiveness when compared to state-of-the-art approaches. Although the method was developed to solve image puzzles, we also show how to apply it to the reconstruction of simulated strip-shredded documents, broadening its applicability.

show abstract

Section: B Pictorial Puzzlesmentioning

confidence: 99%

“…The available literature for image reconstruction from identical rectangular tiles comprises mainly a few recent works [18], [19], [9], [10], [11], [20].…”

Section: B Pictorial Puzzlesmentioning

confidence: 99%

PSQP: Puzzle Solving by Quadratic Programming

Andaló

Taubin

Goldenstein

2017

IEEE Trans. Pattern Anal. Mach. Intell.

View full text Add to dashboard Cite

show abstract

“…For example, the jigsaw puzzle solver [22] completely succeeded in assembling large puzzles which consist of 30745 pieces with the size of 28 × 28, in 2016. Table 1 Permutation of color components for a random integer [15] • × 2013 540 28×28 Son [16] • × 2014 9801 28×28 Son [16] • × 2014 221 10×10 Paikin [17] • × 2015 22755 28×28 Son [18] • × 2016 3300 28×28 Son [18] • On the other hand, a solver for puzzles including rotated pieces (pieces with unknown orientation) was first proposed in 2012 [14]. Thus, even when the number of blocks in an encrypted image is larger than 22755, there is a possibility that the image is completely decrypted if the piece size is large.…”

Section: Related Workmentioning

confidence: 99%

On the Security of Block Scrambling-Based EtC Systems against Extended Jigsaw Puzzle Solver Attacks

Chuman

Kurihara

Kiya

2018

IEICE Trans. Inf. & Syst.

View full text Add to dashboard Cite

SUMMARYThe aim of this paper is to apply automatic jigsaw puzzle solvers, which are methods of assembling jigsaw puzzles, to the field of information security. Encryption-then-Compression (EtC) systems have been considered for the user-controllable privacy protection of digital images in social network services. Block scrambling-based encryption schemes, which have been proposed to construct EtC systems, have enough key spaces for protecting brute-force attacks. However, each block in encrypted images has almost the same correlation as that of original images. Therefore, it is required to consider the security from different viewpoints from number theory-based encryption methods with provable security such as RSA and AES. In this paper, existing jigsaw puzzle solvers, which aim to assemble puzzles including only scrambled and rotated pieces, are first reviewed in terms of attacking strategies on encrypted images. Then, an extended jigsaw puzzle solver for block scrambling-based encryption scheme is proposed to solve encrypted images including inverted, negative-positive transformed and color component shuffled blocks in addition to scrambled and rotated ones. In the experiments, the jigsaw puzzle solvers are applied to encrypted images to consider the security conditions of the encryption schemes.

show abstract

“…The key space of the scheme is generally large enough against the brute-force attacks as ciphertext-only attack. However, regarding the blocks of an encrypted image as pieces of a jigsaw puzzle, jigsaw puzzle solver attacks based on the correlation can be assumed [23][24][25][26][27][28]. For example, the jigsaw puzzle solver [25] completely succeeded in assembling large puzzles which consist of 30745 pieces with the size of 28 × 28.…”

Section: Security Analysismentioning

confidence: 99%

Grayscale-Based Block Scrambling Image Encryption for Social Networking Services

Sirichotedumrong

Chuman

Imaizumi

et al. 2018

2018 IEEE International Conference on Multimedia and Expo (ICME)

View full text Add to dashboard Cite

This paper proposes a new block scrambling encryption scheme that enhances the security of encryption-thencompression (EtC) systems for JPEG images, which are used, for example, to securely transmit images through an untrusted channel provider. The proposed method allows the use of a smaller block size and a larger number of blocks than the conventional ones. Moreover, images encrypted using proposed scheme include less color information due to the use of grayscale even when the original image has three color channels. These features enhance security against various attacks such as jigsaw puzzle solver and brute-force attacks. The results of an experiment in which encrypted images were uploaded to and then downloaded from Twitter and Facebook demonstrated the effectiveness of the proposed scheme for EtC systems.

show abstract

Solving Square Jigsaw Puzzles with Loop Constraints

Cited by 48 publications

References 20 publications

PSQP: Puzzle Solving by Quadratic Programming

PSQP: Puzzle Solving by Quadratic Programming

On the Security of Block Scrambling-Based EtC Systems against Extended Jigsaw Puzzle Solver Attacks

Grayscale-Based Block Scrambling Image Encryption for Social Networking Services

Contact Info

Product

Resources

About