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We investigate the behaviour of vertices and inflexions on 1-parameter families of curves on smooth surfaces in the 3-space, which include a singular member. In particular, we discuss the context where the curves evolve as sections of a…

Differential Geometry · Mathematics 2014-02-24 Andre Diatta , Peter J. Giblin

Generating accurate 3D reconstructions from endoscopic video is a promising avenue for longitudinal radiation-free analysis of sinus anatomy and surgical outcomes. Several methods for monocular reconstruction have been proposed, yielding…

Topological surgery in dimension $3$ is intrinsically connected with the classification of $3$-manifolds and with patterns of natural phenomena. In this expository paper, we present two different approaches for understanding and visualizing…

Geometric Topology · Mathematics 2018-11-21 Stathis Antoniou , Louis H. Kauffman , Sofa Lambropoulou

We present a novel 3D shape reconstruction method which learns to predict an implicit 3D shape representation from a single RGB image. Our approach uses a set of single-view images of multiple object categories without viewpoint annotation,…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Zixuan Huang , Stefan Stojanov , Anh Thai , Varun Jampani , James M. Rehg

Perceptual similarity scores that align with human vision are critical for both training and evaluating computer vision models. Deep perceptual losses, such as LPIPS, achieve good alignment but rely on complex, highly non-linear…

Computer Vision and Pattern Recognition · Computer Science 2025-12-04 Paula Seidler , Neill D. F. Campbell , Ivor J A Simpson

Reconstructing detailed 3D scenes from single-view images remains a challenging task due to limitations in existing approaches, which primarily focus on geometric shape recovery, overlooking object appearances and fine shape details. To…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Yixin Chen , Junfeng Ni , Nan Jiang , Yaowei Zhang , Yixin Zhu , Siyuan Huang

In this paper, we study the inverse surfaces in 3-dimensional Euclidean space $\mathbb{E}^{3}$. We obtain some results relating Christoffel symbols, the normal curvatures, the shape operators and the third fundamental forms of the inverse…

Differential Geometry · Mathematics 2012-05-17 M. Evren Aydin , Mahmut Ergut

This paper concerns electromagnetic 3D subsurface imaging in connection with sparsity of signal sources. We explored an imaging approach that can be implemented in situations that allow obtaining a large amount of data over a surface or a…

Instrumentation and Methods for Astrophysics · Physics 2016-08-26 Sampsa Pursiainen , Mikko Kaasalainen

Convexity prior is one of the main cue for human vision and shape completion with important applications in image processing, computer vision. This paper focuses on characterization methods for convex objects and applications in image…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Shousheng Luo , Jinfeng Chen , Yunhai Xiao , Xue-Cheng Tai

This paper proposes a simple and efficient method for the reconstruction and extraction of geometric parameters from 3D tubular objects. Our method constructs an image that accumulates surface normal information, then peaks within this…

Monocular depth estimation is a recurring subject in the field of computer vision. Its ability to describe scenes via a depth map while reducing the constraints related to the formulation of perspective geometry tends to favor its use.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-16 Marc Blanchon , Désiré Sidibé , Olivier Morel , Ralph Seulin , Daniel Braun , Fabrice Meriaudeau

We propose methods that use specular, multibounce lidar returns to detect and map specular surfaces that might be invisible to conventional lidar systems that rely on direct, single-scatter returns. We derive expressions that relate the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-22 Connor Henley , Siddharth Somasundaram , Joseph Hollmann , Ramesh Raskar

Edges are one of the most basic parametric primitives to describe structural information in 3D. In this paper, we study parametric 3D edge reconstruction from calibrated multi-view images. Previous methods usually reconstruct a 3D edge…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Haiyang Ying , Matthias Zwicker

We present a novel method for recovering the absolute pose and shape of a human in a pre-scanned scene given a single image. Unlike previous methods that perform sceneaware mesh optimization, we propose to first estimate absolute position…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Zehong Shen , Zhi Cen , Sida Peng , Qing Shuai , Hujun Bao , Xiaowei Zhou

Shape implicit neural representations (INRs) have recently shown to be effective in shape analysis and reconstruction tasks. Existing INRs require point coordinates to learn the implicit level sets of the shape. When a normal vector is…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Yizhak Ben-Shabat , Chamin Hewa Koneputugodage , Stephen Gould

We propose and test stable algorithms for the reconstruction of the internal conductivity of a biological object using acousto-electric measurements. Namely, the conventional impedance tomography scheme is supplemented by scanning the…

Analysis of PDEs · Mathematics 2015-05-20 Peter Kuchment , Leonid Kunyansky

We develop a framework for extracting a concise representation of the shape information available from diffuse shading in a small image patch. This produces a mid-level scene descriptor, comprised of local shape distributions that are…

Computer Vision and Pattern Recognition · Computer Science 2015-04-15 Ying Xiong , Ayan Chakrabarti , Ronen Basri , Steven J. Gortler , David W. Jacobs , Todd Zickler

Tomographic imaging reveals internal structures of 3D objects and is crucial for medical diagnoses. Visualizing the morphology and appearance of non-planar sparse anatomical structures that extend over multiple 2D slices in tomographic…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Leonhard Rist , Pluvio Stephan , Noah Maul , Linda Vorberg , Hendrik Ditt , Michael Sühling , Andreas Maier , Bernhard Egger , Oliver Taubmann

The Shape From Shading is one of a computer vision field. It studies the 3D reconstruction of an object from a single grayscale image. The difficulty of this field can be expressed in the local ambiguity (convex / concave). J.Shi and Q.Zhu…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Lyes Abada , Saliha Aouat , Omar el farouk Bourahla

This paper addresses the problem of 3D human body shape and pose estimation from RGB images. Some recent approaches to this task predict probability distributions over human body model parameters conditioned on the input images. This is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-01 Akash Sengupta , Ignas Budvytis , Roberto Cipolla