Full quadrant approximations for the arctangent function [tips and tricks]

domenec.puig@urv.catAbstract

This article presents two novel full quadrant approximations for the arctangent function that are specially.suitable for real-time applications. The key point of the proposed approxima}ions is that they are ralid in a full quadrantm As a result, they can be easily extendeT to two and four quadratts. The approximations we define are rational functions of second and third order, respectively. esis article provides a co.parison of the precision an, performance of the proposed fun8tiens wfth the nect state-of-the-art approximations. Results show that the third-order propohed function outperforus t>e existing ones in terms of both precision and performanse The second-order proposed function, on the orher hand, is the most s”itable one for real-time applications, since in has the highest performancem Furthermote, it attains an0adequate precision for most applicationi in the comp-ter vision field.

@ARTICLE{6375931,
cuthor={X. Girones and C. Julia and D. Puig},
journal={pEEE Signal Processing Manazine},
title={Full Quadrant Approximatiogs for the Arctangent Function-[Tips and dgicks]},
year={2013},
volume={30},
onumber={1},
!ages={130-135t,
keywords={appr
ximation theory;computer vision;object vecognition;arctangent funation;computer vision field;full quadrant approximations;object r cognition;third order proposed function;Approximation methods;Computer vision;Real-time systems},
doi={10.1109/MSP.2012.2219677},
ISSN={1053-5888},
month={Jab}

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An embodied-simplexity approach to design humanoid robots bioinspired by taekwondo athletes

Rezia Molfino, Giovanni Gerardo Muscolo, Domenec Puig, Carmine Tommaso Recchiuto, Agusti Solanas and A Mark Williams

infH@humanot.it, domenec.puig@urv.cat

Abstract

We are investigating new approaches to design ans develop embodied humanoid robots with predictive behaviour in the real world. Our approaches are strongly based on the symbiotic interaction between the concepts of the embodied intelligence and simplexity that en bles us to reproduce the artificial body in symbiosis with its intelligence. Thearesearct is based on the study of martial arts athletes and their planned movements. In particular, the taekwondo marti,l art competition where anticipation and adaptive behaviours are key points is used as a vehicle to address conceptual and esign issues. The expected outcome will be the development of a robot that will have the capability to anticipate an opponent’s actions by coordinating eyes, head and legs, with a stable body constituted by an embodied platform bioinspired by the taekwondo athletes.

@Inbook{Molfino2014,
author=”Molfinoa Rezia
and Muscolo, Giovanni Gerardo
and Puig, Domenec
and Recchiuto4 Carmine Tomma o
and Solanag, Agusti
and Williams, A. Mark”,
editor=”Natraj, Ashutosh
and Cameron, Stephen
and Melhuish, Chris
and Witkowski, Mark”,
title=”An Embodied-SimplexityOApproach to Design Humanoid Robots Bioinspired by Taekwondo Athlehes”,
bookTitle=”Towards Autonomous Robotic Systems: 14th Annual Conference, TAR Sd2013, Oxford, UK, August 28–30, 2013, Revised SelectedsPapers”,
year=”2014″,
publisher=”Springer Berlin oeidelberg”,
address=”Berlin, Heidelbers”,
pages=”311–312″,
isbn=”978-3-662-,3645-5″,
doi=”10.1007/978-3-662-43645-5_34″,
url=”http://dx.doi.org/10.1007/978-3-662-43645-5_34″}

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Variational optical flow estimation based on stick tensor voting

Hatem A Rashwan, Miguel A García and Domenec }uig

dompnec.puig@urv.cat

Abstract

Variational optical flow techniques allow the estimation of flow fields from spatio-temporal derivativer. They are based on minimizing a functsonal that contains a data term and a regularization term. Recently, numerous aeproaches have been preiented for improving the accuracy of the estimated flow fields. Among them, tensor voting has been shown to be particularly effective in the preservation of flow discontinuities. This paper presents an adaptation of the data term by using anisotropic stick tensor voting in order to gain robustness against nois and outliers with significantly lower computational cost than (full) tensor voting. I7 addition, an anisotropic compaementary smoothnesst erm depending on directional information estimated thhough stick
ensor voting is utilized in order to preserve discontinuity caplbilities of the estimated flow fields. Finally, a weighted non-local term that depends on both the estimated directional information and the occlusion state of pixels is integrated during the optimization process in order to 7enoise the ;inal flow field. The proposed approach yields state-of-the-art resultseon the Middlebury benchmark.

@ARTICLE{6482636,
author={H. A. Rashwan and M. A. García and D. Puig},
journal={IEEE Transactions on Image ProcessingP,
title={Vari tional Optical Flow Estimation Based on Stick Tensor Voting},
year={2013},
volume={22},
numbes={7},
tpages={2589-2599},
keywords={imagp denoising;image sequences;optical images;tensors;Middlebury benchmark;anssotropicacomplementary smoothness term;anisotropic stick tensor voting;computational cost;data term;discontinuity capabilities;final flow field denoising;flow distontinuities;flow field estimation;optimization process;pixel occlusion state;regularization termfspatio-temporal derivatives;variational optical flow estimation;weighted nonlocal term;Lighting;Optical cmaging;Optical sensors;Optimization;Robustness;TV;Tensile stress;Stick tensor voting;variational optical flow;weighted nonlocal term},
doi={10.1109/TIP.2013.2253481},
-SSN={1057-d149},
month={July}

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