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Catadioptric projectors

Yuanyuan Ding, Jing Xiao, Kar-Han Tan, Jingyi Yu
2009 2009 IEEE Conference on Computer Vision and Pattern Recognition  
We demonstrate the practical uses of catadioptric projectors in panoramic and omni-directional projections.  ...  Furthermore, we present a projection defocus analysis for reflector and thin refractor based catadioptric projectors.  ...  To model projection geometry, a projector is commonly treated as a virtual pinhole camera and classical perspective geometry can then be directly applied to analyze the projection process [20] .  ... 
doi:10.1109/cvprw.2009.5206622 fatcat:exvcubbf7vestifw6cyhjtdsa4

Catadioptric projectors

Yuanyuan Ding, Jing Xiao, Kar-Han Tan, Jingyi Yu
2009 2009 IEEE Conference on Computer Vision and Pattern Recognition  
We demonstrate the practical uses of catadioptric projectors in panoramic and omni-directional projections.  ...  Furthermore, we present a projection defocus analysis for reflector and thin refractor based catadioptric projectors.  ...  To model projection geometry, a projector is commonly treated as a virtual pinhole camera and classical perspective geometry can then be directly applied to analyze the projection process [20] .  ... 
doi:10.1109/cvpr.2009.5206622 dblp:conf/cvpr/DingXTY09 fatcat:s6cymqu44bcxvebtwc4xztyg3i

Automatic calibration of a single-projector catadioptric display system

Benjamin Astre, Laurent Sarry, Christophe Lohou, Eric Zeghers
2008 2008 IEEE Conference on Computer Vision and Pattern Recognition  
We describe the calibration of a catadioptric omnidirectional video-projection system that adjusts its projection to the geometry of any scene by means of a rotating camera.  ...  Simulation is used to validate estimated values of parameters and distance between the 3D reconstruction of the projection room and its expected geometry.  ...  Acknowledgements This work is funded by the Audiovisual and Multimedia Program of the French National Agency for Research (Catopsys project).  ... 
doi:10.1109/cvpr.2008.4587788 dblp:conf/cvpr/AstreSLZ08 fatcat:f7fsf74lkzal3e3h7ojlub77ke

Automatic 3D Reconstruction from a Single Catadioptric Omnidirectional Image

Hui Gao, Wei Xu, Maojun Zhang
2010 International Journal of Virtual Reality  
According to the classification results, we recover the geometry based on the catadioptric projection model.  ...  Firstly, we classify the catadioptric omnidirectional image to horizontal ground, vertical building surface and vertical background surface through the registration between catadioptric omnidirectional  ...  We next recovered the geometry according to the catadioptric projection model. The whole processing is fully automatic.  ... 
doi:10.20870/ijvr.2010.9.3.2779 fatcat:sugdcr34xbe5nn73n3pu6u3u3e

HOPIS: Hybrid Omnidirectional and Perspective Imaging System for Mobile Robots

Huei-Yung Lin, Min-Liang Wang
2014 Sensors  
It is then used to rectify the hybrid image pair using the perspective projection model.  ...  Based on the hybrid imaging geometry, a generalized stereo approach is developed via the construction of virtual cameras.  ...  For central catadioptric cameras with a single viewpoint, the most popular imaging geometry is represented by a two-step projection via a unit sphere [25] .  ... 
doi:10.3390/s140916508 pmid:25192317 pmcid:PMC4208185 fatcat:pgi5jwhnfvdmjnn66myhhtpxm4

Hybrid homographies and fundamental matrices mixing uncalibrated omnidirectional and conventional cameras

Luis Puig, Peter Sturm, J. J. Guerrero
2012 Machine Vision and Applications  
The first and simplest one is designed to deal with para-catadioptric systems, the second one and more complex, considers the combination of a perspective camera and any central catadioptric system.  ...  The first is the successful matching between perspective images and hyper-catadioptric images using SIFT descriptors.  ...  Svoboda and Pajdla [21] study the epipolar geometry for central catadioptric systems.  ... 
doi:10.1007/s00138-012-0424-6 fatcat:omvwt3ppubhp3izabtr6dm2wva

Omnidirectional Camera [chapter]

Davide Scaramuzza
2014 Computer Vision  
Synonyms -Panoramic camera, spherical camera, catadioptric camera, fisheye camera, wide-angle camera Related Concepts camera calibration pinhole camera radial distortion omnidirectional vision camera parameter  ...  (intrinsic, extrinsic) -intrinsic parameter matrix structure from motion epipolar geometry Definition An omnidirectional camera (from omni, meaning all) is a camera with a 360degree field of view in the  ...  However, there are projection systems whose geometry cannot be described using the conventional pinhole model because of the very high distortion introduced by the imaging device.  ... 
doi:10.1007/978-0-387-31439-6_488 fatcat:qe72im7wnrgybh4luuge3nc7pu

A theory of multi-perspective defocusing

Yuanyuan Ding, Jing Xiao, Jingyi Yu
2011 CVPR 2011  
We apply our method for predicting defocus blurs on commonly used catadioptric cameras and for reducing defocus blurs in catadioptric projections.  ...  Our approach studies how multi-perspective ray geometry transforms under the thin lens.  ...  Acknowledgement This project was partially supported by the National Science Foundation under grants IIS-CAREER-0845268 and IIS-RI-1016395, and by the Air Force Office of Scientific Research under the  ... 
doi:10.1109/cvpr.2011.5995617 dblp:conf/cvpr/DingXY11a fatcat:xksj7m5atneyzbr5sdudgm7luq

Subpixel Catadioptric Modeling of High Resolution Corneal Reflections

Chengyuan Lin, Voicu Popescu
2019 Proceedings of the 14th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications  
We present a calibration procedure that achieves a sub-pixel accurate model of the catadioptric imaging system defined by two corneal spheres and a camera.  ...  We demonstrate the calibration of the catadioptric system in the context of sparse, feature-based, and dense, pixel-based reconstruction of several 3D scenes from corneal reflections.  ...  Figure 3 : 3 Corneal catadioptric imaging system. Figure 4 : 4 Epipolar geometry of corneal catadioptric system. Figure 5 : 5 System pipeline overview.  ... 
doi:10.5220/0007308506730683 dblp:conf/visapp/LinP19 fatcat:vqc6emw3cjad7fiaasonris35e

Scale space for central catadioptric systems: Towards a generic camera feature extractor

Luis Puig, J. J. Guerrero
2011 2011 International Conference on Computer Vision  
In this paper we propose a new approach to compute the scale space of any omnidirectional image acquired with a central catadioptric system.  ...  We perform experiments with synthetic and real images to validate the generalization of our approach to any central catadioptric system.  ...  Then this point is projected from the unitary sphere to the image plane through a variable projection point, which is determined by the geometry of the mirror (parameter ξ).  ... 
doi:10.1109/iccv.2011.6126420 dblp:conf/iccv/PuigG11 fatcat:nrczk52bwjgjfjp5khqlp3puci

Conformal Rectification of Omnidirectional Stereo Pairs

Christopher Geyer, Kostas Daniilidis
2003 2003 Conference on Computer Vision and Pattern Recognition Workshop  
Such systems consist of a parabolic mirror and an orthographically projecting lens.  ...  In this paper we consider the rectification of two omnidirectional cameras, specifically two parabolic catadioptric cameras.  ...  The rectification proposed in this paper is motivated by an observation of the geometry induced by such catadiop-tric cameras. It can be shown that the parabolic catadioptric projection is conformal.  ... 
doi:10.1109/cvprw.2003.10082 dblp:conf/cvpr/GeyerD03 fatcat:4q3pby5mabdwjohhpcaurkadum

An omnidirectional stereoscopic system for mobile robot navigation

R. Boutteau, X. Savatier, J.Y. Ertaud, B. Mazari
2008 2008 International Workshop on Robotic and Sensors Environments  
After justification of the chosen model, a calibration method to obtain the model parameters and the relative pose of the two catadioptric sensors is presented.  ...  We first introduce the advantages of a catadioptric stereovision sensor for autonomous navigation and how we have designed it with respect to the Single Viewpoint constraint.  ...  Epipolar geometry of catadioptric sensors is more complicated because of the complex shape of the mirror.  ... 
doi:10.1109/rose.2008.4669195 dblp:conf/rose/BoutteauSEM08 fatcat:w4be5icmevbi7jombrtglnqdsm

Self-calibration of hybrid central catadioptric and perspective cameras

Xiaoming Deng, Fuchao Wu, Yihong Wu, Fuqing Duan, Liang Chang, Hongan Wang
2012 Computer Vision and Image Understanding  
Firstly, with the epipolar geometry between the perspective and rectified catadioptric images, the distortion parameters of the polynomial model can be estimated linearly.  ...  Then a new method is proposed to estimate the intrinsic parameters of a central catadioptric camera with the parameters in the polynomial model, and hence the catadioptric cameras can be calibrated.  ...  For a central catadioptric camera, we use the rectified image points with Eq. (30) for projective reconstruction.  ... 
doi:10.1016/j.cviu.2012.02.003 fatcat:lnd4grrilvckrf5ntqrp6vgsvq

New contributions on line-projections in omnidirectional vision

Jesus Bermudez-Cameo
2016 ELCVIA Electronic Letters on Computer Vision and Image Analysis  
This thesis * is focused on the geometry of line projections (line-images) in omnidirectional systems.  ...  However, in omnidirectional cameras line projections are distorted by the projection mapping becoming complex curves.  ...  The particularization for conical catadioptric systems allows us to recover the geometry of the mirror and the geometry of the 3D line from five points of the line-image.  ... 
doi:10.5565/rev/elcvia.948 fatcat:d6tqyixbhfapde6enff4zwrdoe

EGT for multiple view geometry and visual servoing - Robotics and vision with pinhole and panoramics cameras

G.L. Mariottini, D. Prattichizzo
2005 IEEE robotics & automation magazine  
visual information and the geometry between them.  ...  Functions provided, for both pinhole and panoramic vision sensors, include camera placement and visualization, computation, estimation of epipolar geometry entities, and many others.  ...  In [11] , a unified projection model for central catadioptric camera systems has been proposed.  ... 
doi:10.1109/mra.2005.1577022 fatcat:i2km2oecwvdwfjow5wjrhme32q
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