Multidimensional Orientation Estimation with Applications to Texture Analysis and Optical Flow
IEEE Transactions on Pattern Analysis and Machine Intelligence
Space-Variant Fourier Analysis: The Exponential Chirp Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rendering with concentric mosaics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Catadioptric Projective Geometry
International Journal of Computer Vision
Catadioptric Omnidirectional Camera
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Catadioptric Sensors that Approximate Wide-Angle Perspective Projections
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
Robust Localization Using Eigenspace of Spinning-Images
OMNIVIS '00 Proceedings of the IEEE Workshop on Omnidirectional Vision
An iterative image registration technique with an application to stereo vision
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Motion analysis of Omni-Directional video streams for a mobile sentry
IWVS '03 First ACM SIGMM international workshop on Video surveillance
Markov random fields for catadioptric image processing
Pattern Recognition Letters
Markov random fields for catadioptric image processing
Pattern Recognition Letters
Fuzzy edge detection for omnidirectional images
Fuzzy Sets and Systems
Processing Sparse Panoramic Images via Space Variant Operators
Journal of Mathematical Imaging and Vision
Spherical Edge Detector: Application to Omnidirectional Imaging
ACIVS '08 Proceedings of the 10th International Conference on Advanced Concepts for Intelligent Vision Systems
Motion estimation by decoupling rotation and translation in catadioptric vision
Computer Vision and Image Understanding
Wide-angle Visual Feature Matching for Outdoor Localization
International Journal of Robotics Research
Adapted processing of catadioptric images using polarization imaging
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Omnidirectional image processing using geodesic metric
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
A Variational Framework for Structure from Motion in Omnidirectional Image Sequences
Journal of Mathematical Imaging and Vision
Central catadioptric image processing with geodesic metric
Image and Vision Computing
A Fisher-Rao Metric for Paracatadioptric Images of Lines
International Journal of Computer Vision
Edge Detection by Maximum Entropy: Application to Omnidirectional and Perspective Images
International Journal of Computer Vision and Image Processing
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Images produced by catadioptric sensors contain a significant amountof radial distortion and variation in inherent scale. Blindapplication of conventional shift-invariant operators or optical flowestimators yields erroneous results. One could argue that given acalibration of such a sensor we would always be able to removedistortions and apply any operator in a local perspectiveplane. In addition to the inefficiency of such an approach, interpolationeffects during warping have undesired results in filtering. In thispaper, we propose to use the sphere as the underlying domain of imageprocessing in central catadioptric systems. This does not mean that wewill warp the catadioptric image into a spherical image. Instead, wewill formulate all the operations on the sphere but use the samplesfrom the original catadioptric plane.As an example, we study theconvolution with the Gaussian and its derivatives and as well as thecomputation of optical flow in image sequences acquired with aparabolic catadioptric sensor.