Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer vision
Multiple view geometry in computer vision
Paracatadioptric Camera Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Catadioptric Stereo Using Planar Mirrors
International Journal of Computer Vision
Catadioptric Projective Geometry
International Journal of Computer Vision
Epipolar Geometry of Panoramic Cameras
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
A Theory of Catadioptric Image Formation
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Camera calibration using spheres: A semi-definite programming approach
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Real-Time Omnidirectional Image Sensors
International Journal of Computer Vision - Special Issue on Omni-Directional Research in Japan
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Properties of Central Catadioptric Line Images and Their Application in Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Non-Single Viewpoint Catadioptric Cameras: Geometry and Analysis
International Journal of Computer Vision
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Geometric Interpretations of the Relation between the Image of the Absolute Conic and Sphere Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Camera Calibration from Images of Spheres
IEEE Transactions on Pattern Analysis and Machine Intelligence
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
RANSAC based ellipse detection with application to catadioptric camera calibration
ICONIP'10 Proceedings of the 17th international conference on Neural information processing: models and applications - Volume Part II
Automatic conic and line grouping for calibration of central catadioptric camera
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Calibrating effective focal length for central catadioptric cameras using one space line
Pattern Recognition Letters
A calibration method for paracatadioptric camera from sphere images
Pattern Recognition Letters
Hi-index | 0.00 |
Central catadioptric cameras are imaging devices that use mirrors to enhance the field of view while preserving a single effective viewpoint. Lines and spheres in space are all projected into conics in the central catadioptric image planes, and such conics are called line images and sphere images, respectively. We discovered that there exists an imaginary conic in the central catadioptric image planes, defined as the modified image of the absolute conic (MIAC), and by utilizing the MIAC, the novel identical projective geometric properties of line images and sphere images may be exploited: Each line image or each sphere image is double-contact with the MIAC, which is an analogy of the discovery in pinhole camera that the image of the absolute conic (IAC) is double-contact with sphere images. Note that the IAC also exists in the central catadioptric image plane, but it does not have the double-contact properties with line images or sphere images. This is the main reason to propose the MIAC. From these geometric properties with the MIAC, two linear calibration methods for central catadioptric cameras using sphere images as well as using line images are proposed in the same framework. Note that there are many linear approaches to central catadioptric camera calibration using line images. It seems that to use the properties that line images are tangent to the MIAC only leads to an alternative geometric construction for calibration. However, for sphere images, there are only some nonlinear calibration methods in literature. Therefore, to propose linear methods for sphere images may be the main contribution of this paper. Our new algorithms have been tested in extensive experiments with respect to noise sensitivity.