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The quest for regular models of arithmetic surfaces allows different viewpoints and approaches: using valuations or a covering by charts. In this article, we sketch both approaches and then show in a concrete example, how surprisingly…

Algebraic Geometry · Mathematics 2017-01-06 Anne Frühbis-Krüger , Stefan Wewers

We propose a self-supervised approach to deep surface deformation. Given a pair of shapes, our algorithm directly predicts a parametric transformation from one shape to the other respecting correspondences. Our insight is to use…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Thibault Groueix , Matthew Fisher , Vladimir G. Kim , Bryan C. Russell , Mathieu Aubry

Implicit Neural Representations have gained prominence as a powerful framework for capturing complex data modalities, encompassing a wide range from 3D shapes to images and audio. Within the realm of 3D shape representation, Neural Signed…

Computer Vision and Pattern Recognition · Computer Science 2024-08-28 Amine Ouasfi , Adnane Boukhayma

3D shape analysis has been largely focused on traditional 3D representations of point clouds and meshes, but the discrete nature of these data makes the analysis susceptible to variations in input resolutions. Recent development of neural…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Huan Lei , Hongdong Li , Andreas Geiger , Anthony Dick

With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D solid manifolds plays an important role in processing 3D…

Computational Geometry · Computer Science 2025-06-23 Zhiyuan Lyu , Qiguang Chen , Gary P. T. Choi , Lok Ming Lui

We propose a novel 3D shape parameterization by surface patches, that are oriented by 3D mesh quadrangulation of the shape. By encoding 3D surface detail on local patches, we learn a patch dictionary that identifies principal surface…

Computer Vision and Pattern Recognition · Computer Science 2017-09-21 Kripasindhu Sarkar , Kiran Varanasi , Didier Stricker

Reconstructing the 3D geometry of an object from an image is a major challenge in computer vision. Recently introduced differentiable renderers can be leveraged to learn the 3D geometry of objects from 2D images, but those approaches…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Felix Petersen , Bastian Goldluecke , Oliver Deussen , Hilde Kuehne

We present implicit displacement fields, a novel representation for detailed 3D geometry. Inspired by a classic surface deformation technique, displacement mapping, our method represents a complex surface as a smooth base surface plus a…

Computer Vision and Pattern Recognition · Computer Science 2022-02-03 Wang Yifan , Lukas Rahmann , Olga Sorkine-Hornung

Shape recognition is the main challenging problem in computer vision. Different approaches and tools are used to solve this problem. Most existing approaches to object recognition are based on pixels. Pixel-based methods are dependent on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Narges Mirehi , Maryam Tahmasbi , Alireza Tavakoli Targhi

Symmetries and isomorphisms play similar conceptual roles when we consider how models represent physical situations, but they are formally distinct, as two models related by symmetries are not typically isomorphic. I offer a rigorous…

History and Philosophy of Physics · Physics 2024-07-22 Lu Chen

Recent microscopy imaging techniques allow to precisely analyze cell morphology in 3D image data. To process the vast amount of image data generated by current digitized imaging techniques, automated approaches are demanded more than ever.…

Computer Vision and Pattern Recognition · Computer Science 2020-10-26 Dennis Eschweiler , Malte Rethwisch , Simon Koppers , Johannes Stegmaier

Methods from computational topology are becoming more and more popular in computer vision and have shown to improve the state-of-the-art in several tasks. In this paper, we investigate the applicability of topological descriptors in the…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Matthias Zeppelzauer , Bartosz Zielinski , Mateusz Juda , Markus Seidl

Texture cues on 3D objects are key to compelling visual representations, with the possibility to create high visual fidelity with inherent spatial consistency across different views. Since the availability of textured 3D shapes remains very…

Computer Vision and Pattern Recognition · Computer Science 2022-04-07 Yawar Siddiqui , Justus Thies , Fangchang Ma , Qi Shan , Matthias Nießner , Angela Dai

Normal multi-scale transform [4] is a nonlinear multi-scale transform for representing geometric objects that has been recently investigated [1, 7, 10]. The restrictive role of the exact order of polynomial reproduction $P_e$ of the…

Numerical Analysis · Mathematics 2013-11-19 Stanislav Harizanov

We present a novel method for single image depth estimation using surface normal constraints. Existing depth estimation methods either suffer from the lack of geometric constraints, or are limited to the difficulty of reliably capturing…

Computer Vision and Pattern Recognition · Computer Science 2021-07-13 Xiaoxiao Long , Cheng Lin , Lingjie Liu , Wei Li , Christian Theobalt , Ruigang Yang , Wenping Wang

We introduce ReStyle3D, a novel framework for scene-level appearance transfer from a single style image to a real-world scene represented by multiple views. The method combines explicit semantic correspondences with multi-view consistency…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Liyuan Zhu , Shengqu Cai , Shengyu Huang , Gordon Wetzstein , Naji Khosravan , Iro Armeni

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

We investigate the problem of estimating the 3D shape of an object, given a set of 2D landmarks in a single image. To alleviate the reconstruction ambiguity, a widely-used approach is to confine the unknown 3D shape within a shape space…

Computer Vision and Pattern Recognition · Computer Science 2015-06-03 Xiaowei Zhou , Spyridon Leonardos , Xiaoyan Hu , Kostas Daniilidis

In this work, we aim to address the 3D scene stylization problem - generating stylized images of the scene at arbitrary novel view angles. A straightforward solution is to combine existing novel view synthesis and image/video style transfer…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Pei-Ze Chiang , Meng-Shiun Tsai , Hung-Yu Tseng , Wei-sheng Lai , Wei-Chen Chiu

Creating large-scale virtual urban scenes with variant styles is inherently challenging. To facilitate prototypes of virtual production and bypass the need for complex materials and lighting setups, we introduce the first…

Computer Vision and Pattern Recognition · Computer Science 2024-07-17 Yingshu Chen , Huajian Huang , Tuan-Anh Vu , Ka Chun Shum , Sai-Kit Yeung
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