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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

We tackle the image reassembly problem with wide space between the fragments, in such a way that the patterns and colors continuity is mostly unusable. The spacing emulates the erosion of which the archaeological fragments suffer. We…

Computer Vision and Pattern Recognition · Computer Science 2020-05-27 Marie-Morgane Paumard , David Picard , Hedi Tabia

This paper explores the problem of reconstructing high-resolution light field (LF) images from hybrid lenses, including a high-resolution camera surrounded by multiple low-resolution cameras. The performance of existing methods is still…

Image and Video Processing · Electrical Eng. & Systems 2023-06-21 Jing Jin , Mantang Guo , Junhui Hou , Hui Liu , Hongkai Xiong

Analytic-bilinear approach for construction and study of integrable hierarchies is discussed. Generalized multicomponent KP and 2D Toda lattice hierarchies are considered. This approach allows to represent generalized hierarchies of…

solv-int · Physics 2009-10-30 L. V. Bogdanov , B. G. Konopelchenko

In this paper, we propose a learning-to-optimize (L2O) framework to accelerate solving parametric mixed-integer quadratic programming (MIQP) problems, with a particular focus on mixed-integer model predictive control (MI-MPC) applications.…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Viet-Anh Le , Mu Xie , Rahul Mangharam

Solving image and video jigsaw puzzles poses the challenging task of rearranging image fragments or video frames from unordered sequences to restore meaningful images and video sequences. Existing approaches often hinge on discriminative…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Jinyang Liu , Wondmgezahu Teshome , Sandesh Ghimire , Mario Sznaier , Octavia Camps

Reassembling real-world archaeological artifacts from fragmented pieces poses significant challenges due to erosion, missing regions, irregular shapes, and large-scale ambiguity. Traditional jigsaw puzzle solvers, often designed for clean…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Omidreza Safaei , Sinem Aslan , Sebastiano Vascon , Luca Palmieri , Marina Khoroshiltseva , Marcello Pelillo

We study the duality of reconstruction systems, which are $g$-frames in a finite dimensional setting. These systems allow redundant linear encoding-decoding schemes implemented by the so-called dual reconstruction systems. We are…

Functional Analysis · Mathematics 2011-12-08 Pedro Massey , Mariano Ruiz , Demetrio Stojanoff

The task of reassembly is a significant challenge across multiple domains, including archaeology, genomics, and molecular docking, requiring the precise placement and orientation of elements to reconstruct an original structure. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Adeela Islam , Stefano Fiorini , Stuart James , Pietro Morerio , Alessio Del Bue

Surface reconstruction from magnetic resonance (MR) imaging data is indispensable in medical image analysis and clinical research. A reliable and effective reconstruction tool should: be fast in prediction of accurate well localised and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-22 Katarína Tóthová , Sarah Parisot , Matthew Lee , Esther Puyol-Antón , Andrew King , Marc Pollefeys , Ender Konukoglu

This paper reviews recent results on hybrid inverse problems, which are also called coupled-physics inverse problems of multi-wave inverse problems. Inverse problems tend to be most useful in, e.g., medical and geophysical imaging, when…

Analysis of PDEs · Mathematics 2011-10-24 Guillaume Bal

Recovering the shape and appearance of real-world objects from natural 2D images is a long-standing and challenging inverse rendering problem. In this paper, we introduce a novel hybrid differentiable rendering method to efficiently…

Computer Vision and Pattern Recognition · Computer Science 2023-08-22 Xiangyang Zhu , Yiling Pan , Bailin Deng , Bin Wang

We address the bin packing problem (BPP), which aims to maximize bin utilization when packing a variety of items. The offline problem, where the complete information about the item set and their sizes is known in advance, is proven to be…

Robotics · Computer Science 2025-10-16 Beomjoon Lee , Changjoo Nam

Recent years have seen significant advances in quantum/quantum-inspired technologies capable of approximately searching for the ground state of Ising spin Hamiltonians. The promise of leveraging such technologies to accelerate the solution…

Optimization and Control · Mathematics 2024-01-24 Robin Brown , David E. Bernal Neira , Davide Venturelli , Marco Pavone

This work solves suboptimal mixed-integer quadratic programs recursively for feedback control of dynamical systems. The proposed framework leverages parametric mixed-integer quadratic programming (MIQP) and hybrid systems theory to model a…

Optimization and Control · Mathematics 2025-07-04 Luke Fina , Christopher Petersen

While mixed-integer linear programming and convex programming solvers have advanced significantly over the past several decades, solution technologies for general mixed-integer nonlinear programs (MINLPs) have yet to reach the same level of…

Optimization and Control · Mathematics 2026-04-07 Danial Davarnia , Mohammadreza Kiaghadi , Junyuan Qiu

Single image depth estimation is a foundational task in computer vision and generative modeling. However, prevailing depth estimation models grapple with accommodating the increasing resolutions commonplace in today's consumer cameras and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Zhenyu Li , Shariq Farooq Bhat , Peter Wonka

Content-based puzzle solvers have been extensively studied, demonstrating significant progress in computational techniques. However, their evaluation often lacks realistic challenges crucial for real-world applications, such as the…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Richard Dirauf , Florian Wolz , Dario Zanca , Björn Eskofier

Due to inevitable noises introduced during scanning and quantization, 3D reconstruction via RGB-D sensors suffers from errors both in geometry and texture, leading to artifacts such as camera drifting, mesh distortion, texture ghosting, and…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Jingbo Zhang , Ziyu Wan , Jing Liao

The reconstruction of shredded documents consists in arranging the pieces of paper (shreds) in order to reassemble the original aspect of such documents. This task is particularly relevant for supporting forensic investigation as documents…

Computer Vision and Pattern Recognition · Computer Science 2020-04-30 Thiago M. Paixão , Rodrigo F. Berriel , Maria C. S. Boeres , Alessando L. Koerich , Claudine Badue , Alberto F. De Souza , Thiago Oliveira-Santos