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We introduce Patchwork, a new general-purpose shape representation capable of modeling 2D and 3D geometry with a small number of parameters. Patchwork is grounded in a rigorous mathematical framework, providing provable complexity bounds…

Graphics · Computer Science 2026-05-19 Ruichen Zheng , Biao Zhang , Michael Birsak , Mikhail Skopenkov , Peter Wonka

We introduce a novel quantum computing heuristic for solving the irregular strip packing problem, a significant challenge in optimizing material usage across various industries. This problem involves arranging a set of irregular polygonal…

Quantum Physics · Physics 2024-02-28 Paul-Amaury Matt , Marco Roth

Recent advancements in 3D perception systems have significantly improved their ability to perform visual recognition tasks such as segmentation. However, these systems still heavily rely on explicit human instruction to identify target…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Amrin Kareem , Jean Lahoud , Hisham Cholakkal

This paper uses clustering algorithms to introduce a shape framework for deformable objects. Until now, the shape detection of the deformable objects has faced several challenges: 1) unable to form a unified framework for multiple shapes;…

Robotics · Computer Science 2023-12-19 Fangqing Chen

This paper looks into the problem of grasping unknown objects in a cluttered environment using 3D point cloud data obtained from a range or an RGBD sensor. The objective is to identify graspable regions and detect suitable grasp poses from…

Robotics · Computer Science 2018-07-30 Olyvia Kundu , Swagat Kumar

Image collage is a very useful tool for visualizing an image collection. Most of the existing methods and commercial applications for generating image collages are designed on simple shapes, such as rectangular and circular layouts. This…

Computer Vision and Pattern Recognition · Computer Science 2024-01-08 Dong-Yi Wu , Thi-Ngoc-Hanh Le , Sheng-Yi Yao , Yun-Chen Lin , Tong-Yee Lee

We consider the problem of approximating a two-dimensional shape contour (or curve segment) using discrete assembly systems, which allow to build geometric structures based on limited sets of node and edge types subject to edge length and…

Computational Geometry · Computer Science 2021-02-03 Andreas M. Tillmann , Leif Kobbelt

Accurately estimating the shape of objects in dense clutters makes important contribution to robotic packing, because the optimal object arrangement requires the robot planner to acquire shape information of all existed objects. However,…

Robotics · Computer Science 2023-02-24 Zhenyu Wu , Ziwei Wang , Jiwen Lu , Haibin Yan

Space-filling designs are popular choices for computer experiments. A sliced design is a design that can be partitioned into several subdesigns. We propose a new type of sliced space-filling design called sliced rotated sphere packing…

Statistics Theory · Mathematics 2017-08-07 Xu He

The two-dimensional irregular bin packing problem (2DIBPP) aims to pack a given set of irregular polygons, referred to as pieces, into fixed-size rectangular bins without overlap, while maximizing bin utilization. Although numerous…

Computational Geometry · Computer Science 2026-03-03 Yi Zhou , Haocheng Fu , Yiping Liu , Jian Mao , Zhang-Hua Fu , Yuyi Wang

We study dense packings of a large number of congruent non-overlapping circles inside a square by looking for configurations which maximize the packing density, defined as the ratio between the area occupied by the disks and the area of the…

Soft Condensed Matter · Physics 2022-05-23 Paolo Amore , Tenoch Morales

3D printing enables the fabrication of complex architectures by automating long sequences of additive steps. The increasing sophistication of printers, materials, and generative design promises to make geometric complexity a non-issue in…

Computational Engineering, Finance, and Science · Computer Science 2018-05-30 Matthew K. Gelber , Greg Hurst , Rohit Bhargava

This paper considers the problem of rearrangement planning, i.e finding a sequence of manipulation actions that displace multiple objects from an initial configuration to a given goal configuration. Rearrangement is a critical skill for…

Robotics · Computer Science 2019-05-21 Changkyu Song , Abdeslam Boularias

The problem of packing equal circles in a circle is a classic and famous packing problem, which is well-studied in academia and has a variety of applications in industry. This problem is computationally challenging, and researchers mainly…

Computational Geometry · Computer Science 2023-03-09 Jianrong Zhou , Kun He , Jiongzhi Zheng , Chu-Min Li

We investigate the problem of computing a minimal-volume container for the non-overlapping packing of a given set of three-dimensional convex objects. Already the simplest versions of the problem are NP-hard so that we cannot expect to find…

Computational Geometry · Computer Science 2016-01-19 Helmut Alt , Nadja Scharf

Recent advancements in learning-based methods have opened new avenues for exploring and interpreting art forms, such as shadow art, origami, and sketch art, through computational models. One notable visual art form is 3D Anamorphic Art in…

Graphics · Computer Science 2025-04-04 Soumyaratna Debnath , Ashish Tiwari , Kaustubh Sadekar , Shanmuganathan Raman

In this work, we propose a new segmentation algorithm for images containing convex objects present in multiple shapes with a high degree of overlap. The proposed algorithm is carried out in two steps, first we identify the visible contours,…

Computer Vision and Pattern Recognition · Computer Science 2017-11-08 Kumar Abhinav , Jaideep Singh Chauhan , Debasis Sarkar

Two-dimensional bin packing problems are highly relevant combinatorial optimization problems. They find a large number of applications, for example, in the context of transportation or warehousing, and for the cutting of different materials…

Artificial Intelligence · Computer Science 2012-09-06 Christian Blum , Verena Schmid , Lukas Baumgartner

Manually authoring 3D shapes is difficult and time consuming; generative models of 3D shapes offer compelling alternatives. Procedural representations are one such possibility: they offer high-quality and editable results but are difficult…

Learning to autonomously assemble shapes is a crucial skill for many robotic applications. While the majority of existing part assembly methods focus on correctly posing semantic parts to recreate a whole object, we interpret assembly more…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Yun-Chun Chen , Haoda Li , Dylan Turpin , Alec Jacobson , Animesh Garg