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The Eckardt hypersurface in $\mathbb{P}^{19}$ parameterizes smooth cubic surfaces with an Eckardt point, which is a point common to three of the $27$ lines on a smooth cubic surface. We describe the cubic surfaces lying on the singular…

Algebraic Geometry · Mathematics 2019-09-24 Hanieh Keneshlou

A microbubble is, in essence, a fully enclosed thin-walled microcavity. Unlike spherical microbubbles formed by expansions, 3D printing enables the free definition of their geometry, allowing precise control over shape and dimensions during…

Optics · Physics 2026-04-28 Sohail Khan , Zengbo Wang , Qingshan Yang , Liyang Yue

We propose a method for computing a sewing pattern of a given 3D garment model. Our algorithm segments an input 3D garment shape into patches and computes their 2D parameterization, resulting in pattern pieces that can be cut out of fabric…

In this work, we propose a novel framework shape back-projection for computationally efficient point cloud processing in a probabilistic manner. The primary component of the technique is shape histogram and a back-projection procedure. The…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Ashish Kumar , L. Behera

Camera calibration is an essential first step in setting up 3D Computer Vision systems. Commonly used parametric camera models are limited to a few degrees of freedom and thus often do not optimally fit to complex real lens distortion. In…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Thomas Schöps , Viktor Larsson , Marc Pollefeys , Torsten Sattler

A lot of attention in supply chain management has been devoted to understanding customer requirements. What are customer priorities in terms of price and service level, and how can companies go about fulfilling these requirements in an…

Computers and Society · Computer Science 2014-05-06 Henrik J Nyman , Peter Sarlin

Direct measurement of the moment-curvature response of sheets or wires up to high curvatures can aid in modeling creasing, pleating, and other forming operations. We consider theoretical issues related to the geometry of pure bending. We…

Soft Condensed Matter · Physics 2020-02-03 Tian Yu , J. A. Hanna

Producing interactive 3D printed objects currently requires laborious 3D design and post-instrumentation with off-the-shelf electronics. Multi-material 3D printing using conductive PLA presents opportunities to mitigate these challenges. We…

A surface is often modeled as a triangulated mesh of 3D points and textures associated with faces of the mesh. The 3D points could be either sampled from range data or derived from a set of images using a stereo or Structure-from-Motion…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Pragyana Mishra , Omead Amidi , Takeo Kanade

High speed, high-resolution, and accurate 3D scanning would open doors to many new applications in graphics, robotics, science, and medicine by enabling the accurate scanning of deformable objects during interactions. Past attempts to use…

Computer Vision and Pattern Recognition · Computer Science 2025-10-23 Giancarlo Pereira , Yidan Gao , Yurii Piadyk , David Fouhey , Claudio T Silva , Daniele Panozzo

The abstraction of 3D objects with simple geometric primitives like cuboids allows to infer structural information from complex geometry. It is important for 3D shape understanding, structural analysis and geometric modeling. We introduce a…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Gregor Kobsik , Morten Henkel , Yanjiang He , Victor Czech , Tim Elsner , Isaak Lim , Leif Kobbelt

Due to the wide diffusion of 3D printing technologies, geometric algorithms for Additive Manufacturing are being invented at an impressive speed. Each single step, in particular along the Process Planning pipeline, can now count on dozens…

Graphics · Computer Science 2017-09-22 Marco Livesu , Stefano Ellero , Jonás Martìnez , Sylvain Lefebvre , Marco Attene

We propose a novel method to generate a small set of ruled surfaces that do not collide with the input shape for linear hot-wire rough machining. Central to our technique is a new observation: the ruled surfaces constructed by vertical…

Computational Geometry · Computer Science 2025-09-03 Zheng Zhang , Kang Wu , Yi-Fei Li , Xu Liu , Xiang Wang , Ligang Liu , Xiao-Ming Fu

We propose a framework for 2D shape analysis using positive definite kernels defined on Kendall's shape manifold. Different representations of 2D shapes are known to generate different nonlinear spaces. Due to the nonlinearity of these…

Computer Vision and Pattern Recognition · Computer Science 2014-12-16 Sadeep Jayasumana , Mathieu Salzmann , Hongdong Li , Mehrtash Harandi

This paper provides an overview of 3D scanning methodologies and technologies proposed in the existing scientific and industrial literature. Throughout the paper, various types of the related techniques are reviewed, which consist, mainly,…

We introduce a new formalism and a number of new results in the context of geometric computational vision. The classical scope of the research in geometric computer vision is essentially limited to static configurations of points and lines…

Algebraic Geometry · Mathematics 2007-07-13 Michael Fryers , Jeremy Yirmeyahu Kaminski , Mina Teicher

This paper introduces an algorithm to generate a 3D extruder path, combining classic planar and non-planar layers to enhance the surface quality and accuracy of complex 3D printed parts. Material extrusion 3D printing, due to its…

Computational Geometry · Computer Science 2024-11-12 Shadman Tajwar Shahid

Recent advances in deep learning have significantly transformed the field of 3D shape generation, enabling the synthesis of complex, diverse, and semantically meaningful 3D objects. This survey provides a comprehensive overview of the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Nicolas Caytuiro , Ivan Sipiran

The task of establishing correspondences between two 3D shapes is a long-standing challenge in computer vision. While numerous studies address full-full and partial-full 3D shape matching, only a limited number of works have explored the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-09 Viktoria Ehm , Paul Roetzer , Florian Bernard , Daniel Cremers

The rapid advances in 3D scanning and acquisition techniques have given rise to the explosive increase of volumetric digital models in recent years. This dissertation systematically trailblazes a novel volumetric modeling framework to…

Graphics · Computer Science 2013-08-06 Bo Li