Radon Transform and Harmonical Analysis Using Lines for 3D Rotation Estimation without Correpondences from Omnidirectional Vision

Multivariate approximation: theory and applications. An overview

“…Xu [47] reviews work done on the Quaternionic Wavelet Transform and gives some applications of it, such as color image processing, object recognition, optical flow estimation and stereo matching. Applications of quaternions are presented by Reséndiz [35] (for building solids), by Falcon [17] (3D motion estimation using robot omnidirectional vision), by Sprössig [40] (fluid dynamics and elasticity). Traversoni [43] presented different approaches of using quaternionic wavelets for movement detection and recognition.…”

“…Image processing (decomposition, reconstruction of images, image compression), contour detection and determination of some characteristics of images, (Steidl [41]), hand-written character recognition (Cisneros [9], Toscano [42]), geodesic applications. Applications of quaternions: robotics [4], 3D trajectories estimation [17], fluid dynamics and elasticity [40]. Simulation is also an important application of modelisation and approximation.…”