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We present a new framework for multi-view geometry in computer vision. A camera is a mapping between $\mathbb{P}^3$ and a line congruence. This model, which ignores image planes and measurements, is a natural abstraction of traditional…

代数几何 · 数学 2016-12-28 Jean Ponce , Bernd Sturmfels , Matthew Trager

This paper proposes a novel algorithm of discovering the structure of a kaleidoscopic imaging system that consists of multiple planar mirrors and a camera. The kaleidoscopic imaging system can be recognized as the virtual multi-camera…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Kosuke Takahashi , Shohei Nobuhara

The goal of the proposed method is to directly obtain a pose matrix of a known rectangular target, without estimation, using geometric techniques. This method is specifically tailored for real-time, extreme imaging setups exceeding…

计算机视觉与模式识别 · 计算机科学 2023-05-16 Jakub Maksymilian Fober

In this article we purpose a novel method for planar pose estimation of mobile robots. This method is based on an analytic solution (which we derived) for the projection of 3D straight lines, onto the mirror of Non-Central Catadioptric…

机器人学 · 计算机科学 2016-07-11 Andre Mateus , Pedro Miraldo , Pedro U. Lima

In this work we present a unified method of relative camera pose estimation from points and lines correspondences. Given a set of 2D points and lines correspondences in three views, of which two are known, a method has been developed for…

机器人学 · 计算机科学 2017-10-19 Ashraf Qadir , Jeremiah Neubert

This paper presents an analytical study for the metric properties of the paraboloidal double projection, i.e. central and orthogonal projections used in the catadioptric camera system. Metric properties have not sufficiently studied in…

计算机视觉与模式识别 · 计算机科学 2021-01-27 Ahmed Hamdy , Ahmed Elsherif , Saiid Shebl

Linear perspective is widely used in landscape photography to create the impression of depth on a 2D photo. Automated understanding of linear perspective in landscape photography has several real-world applications, including aesthetics…

计算机视觉与模式识别 · 计算机科学 2017-05-16 Zihan Zhou , Farshid Farhat , James Z. Wang

We propose a minimal solution for pose estimation using both points and lines for a multi-perspective camera. In this paper, we treat the multi-perspective camera as a collection of rigidly attached perspective cameras. These type of…

计算机视觉与模式识别 · 计算机科学 2018-07-27 Pedro Miraldo , Tiago Dias , Srikumar Ramalingam

We examine 3D reconstruction of architectural scenes in unordered sets of uncalibrated images. We introduce a linear method to self-calibrate and find the metric reconstruction of a camera pair. We assume unknown and different focal lengths…

计算机视觉与模式识别 · 计算机科学 2019-07-01 Nikos Melanitis , Petros Maragos

Geometry-based camera calibration using principal line is more precise and robust than calibration using optimization approaches; therefore, several researches try to re-derive the principal line from different views of 2D projective…

计算机视觉与模式识别 · 计算机科学 2023-01-10 Cheng-Yen Hsu , Hsin-Yi Chen , Jen-Hui Chuang

Recent text-to-image models, such as Stable Diffusion, have achieved impressive visual quality, yet they often suffer from geometric inconsistencies that undermine the structural realism of generated scenes. One prominent issue is vanishing…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Ryota Okumura , Kaede Shiohara , Toshihiko Yamasaki

Accurate registration of 2D imagery with point clouds is a key technology for image-LiDAR point cloud fusion, camera to laser scanner calibration and camera localization. Despite continuous improvements, automatic registration of 2D and 3D…

计算机视觉与模式识别 · 计算机科学 2019-12-13 Huai Yu , Weikun Zhen , Wen Yang , Sebastian Scherer

The problem of calibration from straight lines is fundamental in geometric computer vision, with well-established theoretical foundations. However, its practical applicability remains limited, particularly in real-world outdoor scenarios.…

计算机视觉与模式识别 · 计算机科学 2025-05-02 Gregory Schroeder , Mohamed Sabry , Cristina Olaverri-Monreal

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent…

计算机视觉与模式识别 · 计算机科学 2017-05-30 Kosuke Takahashi , Akihiro Miyata , Shohei Nobuhara , Takashi Matsuyama

We present a complete classification of minimal problems for generic arrangements of points and lines in space observed partially by three calibrated perspective cameras when each line is incident to at most one point. This is a large class…

计算机视觉与模式识别 · 计算机科学 2020-03-12 Timothy Duff , Kathlén Kohn , Anton Leykin , Tomas Pajdla

The field of multiple view geometry has seen tremendous progress in reconstruction and calibration due to methods for extracting reliable point features and key developments in projective geometry. Point features, however, are not available…

计算机视觉与模式识别 · 计算机科学 2016-04-29 Ricardo Fabbri , Benjamin Kimia

Understanding 3D scenes semantically and spatially is crucial for the safe navigation of robots and autonomous vehicles, aiding obstacle avoidance and accurate trajectory planning. Camera-based 3D semantic occupancy prediction, which infers…

计算机视觉与模式识别 · 计算机科学 2025-08-15 Junsu Kim , Junhee Lee , Ukcheol Shin , Jean Oh , Kyungdon Joo

We provide criteria for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. These criteria reduce the projection problem to a certain…

计算机视觉与模式识别 · 计算机科学 2015-03-14 Joseph M. Burdis , Irina A. Kogan

Visual odometry techniques typically rely on feature extraction from a sequence of images and subsequent computation of optical flow. This point-to-point correspondence between two consecutive frames can be costly to compute and suffers…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Chenqi Zhu , Levi Burner , Yiannis Aloimonos

We introduce a novel camera model for monocular 3D Morphable Model (3DMM) regression methods that effectively captures the perspective distortion effect commonly seen in close-up facial images. Fitting 3D morphable models to video is a key…

计算机视觉与模式识别 · 计算机科学 2026-03-06 Toby Chong , Ryota Nakajima
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