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It is well known that a three dimensional (closed, connected and compact) manifold is obtained by identifying boundary faces from a polyhedron P. The study of (\partial P)/~, the boundary \partial P with the polygonal faces identified in…

General Mathematics · Mathematics 2007-05-23 Sergey Nikitin

Awareness of the road scene is an essential component for both autonomous vehicles and Advances Driver Assistance Systems and is gaining importance both for the academia and car companies. This paper presents a way to learn a semantic-aware…

Computer Vision and Pattern Recognition · Computer Science 2017-06-27 Andrea Palazzi , Guido Borghi , Davide Abati , Simone Calderara , Rita Cucchiara

We presented an optical system to perform imaging interested objects in complex scenes, like the creature easy see the interested prey in the hunt for complex environments. It utilized Deep-learning network to learn the interested objects's…

Computer Vision and Pattern Recognition · Computer Science 2021-08-11 Jun Li , Shimei Chen , Shangyuan Wang , Miao Lei , Xiaofang Dai , Chuangxue Liang , Kunyuan Xu , Shuxin Lin , Yuhui Li , Yuer Fan , Ting Zhong

We mimic the cognitive ability of Human perception, based on Bayesian hypothesis, to recognize view-based 3D objects. We consider approximate Bayesian (Empirical Bayesian) for perceptual inference for recognition. We essentially handle…

Artificial Intelligence · Computer Science 2022-11-28 Kumar Sankar Ray

To generalize to novel visual scenes with new viewpoints and new object poses, a visual system needs representations of the shapes of the parts of an object that are invariant to changes in viewpoint or pose. 3D graphics representations…

Computer Vision and Pattern Recognition · Computer Science 2019-05-29 Boyang Deng , Simon Kornblith , Geoffrey Hinton

A projective mirror polyhedron is a projective polyhedron endowed with reflections across its faces. We construct an explicit diffeomorphism between the moduli space of a mirror projective polyhedron with fixed dihedral angles in…

Geometric Topology · Mathematics 2012-04-26 Ludovic Marquis

3D perception of object shapes from RGB image input is fundamental towards semantic scene understanding, grounding image-based perception in our spatially 3-dimensional real-world environments. To achieve a mapping between image views of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Weicheng Kuo , Anelia Angelova , Tsung-Yi Lin , Angela Dai

Gaze estimation involves predicting where the person is looking at within an image or video. Technically, the gaze information can be inferred from two different magnification levels: face orientation and eye orientation. The inference is…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Ashesh , Chu-Song Chen , Hsuan-Tien Lin

We study the formation of images in a reflective sphere in three configurations using caustics of the field of light rays. The optical wavefront emerging from a source point reaching a subject following passage through the optical system…

We revisit the gravitational lensing phenomenon using a new visualization technique. It consists in projecting the observers sky into the source plane, what gives rise to a folded and stretched surface. This provides a clear graphical tool…

Astrophysics · Physics 2016-12-21 Silvia Mollerach , Esteban Roulet

In coventional imaging experiments, objects are localized in a position space and such optically responsive objects can be imaged with a convex lens and can be seen by a human eye. In this paper, we introduce an experiment on a…

Quantum Physics · Physics 2018-11-28 Mandip Singh , Samridhi Gambhir

A spherical polyhedron surface is a triangulated surface obtained by isometric gluing of spherical triangles. For instance, the boundary of a generic convex polytope in the 3-sphere is a spherical polyhedron surface. This paper investigates…

Geometric Topology · Mathematics 2016-09-07 Feng Luo

Despite strong experimental and theoretical evidence supporting superresolution imaging based on microlenses, imaging mechanisms involved are not well understood. Based on the transformation optics approach, we demonstrate that microlenses…

Autonomous navigation requires scene understanding of the action-space to move or anticipate events. For planner agents moving on the ground plane, such as autonomous vehicles, this translates to scene understanding in the bird's-eye view…

Computer Vision and Pattern Recognition · Computer Science 2022-01-17 Yigit Baran Can , Alexander Liniger , Ozan Unal , Danda Paudel , Luc Van Gool

An accurate understanding of a self-driving vehicle's surrounding environment is crucial for its navigation system. To enhance the effectiveness of existing algorithms and facilitate further research, it is essential to provide…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Abtin Mahyar , Hossein Motamednia , Dara Rahmati

This paper introduces a novel computational method for mapping indoor luminance values on the facade of an open workplace to improve its daylight performance. 180-degree fisheye renderings from different indoor locations, view positions,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Guanzhou Ji , Tingsong Ou , Azadeh O. Sawyer

The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on mathematical theory of convex geometry. In our approach we represent a 3D…

Computational Geometry · Computer Science 2013-08-13 Rafik Aramyan , Gagik Mkrtchyan , Arman Karapetyan

We introduce a deep appearance model for rendering the human face. Inspired by Active Appearance Models, we develop a data-driven rendering pipeline that learns a joint representation of facial geometry and appearance from a multiview…

Graphics · Computer Science 2018-08-02 Stephen Lombardi , Jason Saragih , Tomas Simon , Yaser Sheikh

We present a method for single-shot three-dimensional imaging through scattering media with a three-dimensional memory effect. In the proposed computational process, a captured speckle image is two-dimensionally correlated with different…

Image and Video Processing · Electrical Eng. & Systems 2019-08-13 Ryoichi Horisaki , Yuka Okamoto , Jun Tanida

The aim of our paper is to render an object in 3-dimension using a set of its orthographic views. Corner detector (Harris Detector) is applied on the input views to obtain control points. These control points are projected perpendicular to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Sunil Tiwari , Payal Fofadiya , Vicky Vishwakarma