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When folding a 3D object from a 2D material like paper, typically only an approximation of the original surface geometry is needed. Such an approximation can effectively be created by a (progressive) mesh simplification approach, e.g. using…

Graphics · Computer Science 2024-05-14 Lars Zawallich , Renato Pajarola

Three dimensional surface reconstruction based on two dimensional sparse information in the form of only a small number of level lines of the surface with moderately complex structures, containing both structured and unstructured…

Numerical Analysis · Mathematics 2020-09-29 Bin Wu , Xue-Cheng Tai , Talal Rahman

We fully generalize a previously-developed computational geometry tool [1] to perform large-scale simulations of arbitrary two-dimensional faceted surfaces $z = h(x,y)$. Our method uses a three-component facet/edge/junction storage model,…

Mathematical Physics · Physics 2011-10-17 Scott A. Norris , Stephen J. Watson

Surface reconstruction with preservation of geometric features is a challenging computer vision task. Despite significant progress in implicit shape reconstruction, state-of-the-art mesh extraction methods often produce aliased,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Natalia Soboleva , Olga Gorbunova , Maria Ivanova , Evgeny Burnaev , Matthias Nießner , Denis Zorin , Alexey Artemov

Image distortion classification and detection is an important task in many applications. For example when compressing images, if we know the exact location of the distortion, then it is possible to re-compress images by adjusting the local…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Namhyuk Ahn , Byungkon Kang , Kyung-Ah Sohn

Point discretization of curved surfaces is required in many applications ranging from object rendering to the solution of surface partial differential equations (PDEs). These applications often impose that surfaces are sampled with local…

Computational Engineering, Finance, and Science · Computer Science 2026-05-06 Lennart J. Schulze , Ivo F. Sbalzarini

Light rays incident on a transparent object of uniform refractive index undergo deflections, which uniquely characterize the surface geometry of the object. Associated with each point on the surface is a deflection map (or spectrum) which…

Computer Vision and Pattern Recognition · Computer Science 2015-07-15 Prasad Sudhakar , Laurent Jacques , Xavier Dubois , Philippe Antoine , Luc Joannes

Recent advancements in 3D object reconstruction from single images have primarily focused on improving the accuracy of object shapes. Yet, these techniques often fail to accurately capture the inter-relation between the object, ground, and…

Computer Vision and Pattern Recognition · Computer Science 2024-07-29 Yunze Man , Yichen Sheng , Jianming Zhang , Liang-Yan Gui , Yu-Xiong Wang

The geometry of a two-dimensional surface in a curved space can be most easily visualized by using an isometric embedding in flat three-dimensional space. Here we present a new method for embedding surfaces with spherical topology in flat…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mihai Bondarescu , Miguel Alcubierre , Edward Seidel

This research proposes a novel adjustable algorithm for reconstructing 3D body shapes from front and side silhouettes. Most recent silhouette-based approaches use a deep neural network trained by silhouettes and key points to estimate the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-03 Aref Hemati , Azam Bastanfard

The main aim of this paper is to investigate Darboux rectifying curves on a smooth surface immersed in the Euclidean space. First, we discuss the component of the position vector of a Darboux rectifying curve on a smooth immersed surface…

Differential Geometry · Mathematics 2021-04-06 Buddhadev Pal , Akhilesh Yadav

We propose a novel optimization-based paradigm for 3D human model fitting on images and scans. In contrast to existing approaches that directly regress the parameters of a low-dimensional statistical body model (e.g. SMPL) from input…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Enric Corona , Gerard Pons-Moll , Guillem Alenyà , Francesc Moreno-Noguer

This work aims to estimate 6Dof (6D) object pose in background clutter. Considering the strong occlusion and background noise, we propose to utilize the spatial structure for better tackling this challenging task. Observing that the 3D mesh…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jianhan Mei , Xudong Jiang , Henghui Ding

We present a novel approach to background subtraction that is based on the local shape of small image regions. In our approach, an image region centered on a pixel is mod-eled using the local self-similarity descriptor. We aim at obtaining…

Computer Vision and Pattern Recognition · Computer Science 2012-05-18 Jean-Philippe Jodoin , Guillaume-Alexandre Bilodeau , Nicolas Saunier

The reconstruction of an object's shape or surface from a set of 3D points plays an important role in medical image analysis, e.g. in anatomy reconstruction from tomographic measurements or in the process of aligning intra-operative…

Computer Vision and Pattern Recognition · Computer Science 2017-02-16 Florian Bernard , Luis Salamanca , Johan Thunberg , Alexander Tack , Dennis Jentsch , Hans Lamecker , Stefan Zachow , Frank Hertel , Jorge Goncalves , Peter Gemmar

In this paper, we present a spatial rectifier to estimate surface normals of tilted images. Tilted images are of particular interest as more visual data are captured by arbitrarily oriented sensors such as body-/robot-mounted cameras.…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Tien Do , Khiem Vuong , Stergios I. Roumeliotis , Hyun Soo Park

In recent years, the usefulness of 3D shape estimation is being realized in microscopic or close-range imaging, as the 3D information can further be used in various applications. Due to limited depth of field at such small distances, the…

Computer Vision and Pattern Recognition · Computer Science 2017-01-02 Arnav Bhavsar

The availability of affordable and portable depth sensors has made scanning objects and people simpler than ever. However, dealing with occlusions and missing parts is still a significant challenge. The problem of reconstructing a (possibly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-05 Or Litany , Alex Bronstein , Michael Bronstein , Ameesh Makadia

Given a smooth curve $\gamma$ in some $m$-dimensional surface $M$ in $\mathbb{R}^{m+1}$, we study existence and uniqueness of a flat surface $H$ having the same field of normal vectors as $M$ along $\gamma$, which we call a flat…

Differential Geometry · Mathematics 2023-07-11 Irina Markina , Matteo Raffaelli

We present a novel method for 3D surface reconstruction from multiple images where only a part of the object of interest is captured. Our approach builds on two recent developments: surface reconstruction using neural radiance fields for…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Savva Ignatyev , Daniil Selikhanovych , Oleg Voynov , Yiqun Wang , Peter Wonka , Stamatios Lefkimmiatis , Evgeny Burnaev