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Rotation Estimation: A Closed-Form Solution Using Spherical Moments
2019
Sensors
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This paper uses spherical photometric moments for a closed form estimation of 3D rotations from images. ...
Photometric moments are global descriptors of an image that can be used to recover motion information. ...
Closed-Form Solution of Rotation Estimation From moments of order 1 and by using Equation (4), the interaction matrix that links time derivatives of the triple x m 1 = [m 100 m 010 m 001 ] to the rotational ...
doi:10.3390/s19224958
pmid:31739484
pmcid:PMC6891670
fatcat:7lyjjixuajefpanaqvn22q54ai
Mode Identification from Line Profiles Using the Direct Fitting Technique
[chapter]
2003
Asteroseismology Across the HR Diagram
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It is not restricted to low spherical harmonic degree or form of the eigenfunction and is not sensitive to the placement of the continuum. ...
The direct fitting method has several advantages over the method of moments. ...
The direct fitting technique has several advantages over the method of moments. Firstly, it is not limited to low values of or the particular form of the eigenfunction. ...
doi:10.1007/978-94-017-0799-2_16
fatcat:hm2b2lwl35falhgqy2yjskv76m
Adaptive Direct RGB-D Registration and Mapping for Large Motions
[chapter]
2017
Lecture Notes in Computer Science
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The methodology is formulated for a generic warping model and results are given using perspective and spherical sensor models. ...
The information gathered from the geometric and photometric cost functions is not only considered for improving the system observability, but for exploiting the different convergence properties and convexity ...
The authors thank Josh Picard and Paolo Salaris for the discussions/proof reading of the manuscript, and the reviewers for their thoughtful comments. ...
doi:10.1007/978-3-319-54190-7_12
fatcat:gv33quoevzhptix4tivlfmir7q
Pulsational line profile variation of the roAp star HR 3831
2006
Astronomy and Astrophysics
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Pulsational variation of the higher moments reveal substantial contribution of the high-order (ell=3) spherical harmonics which appear due to distortion of pulsations in HR 3831 by the global magnetic ...
We interpret observations with a novel numerical model of the pulsational variation and rotational modulation of the line profile moments in roAp stars. ...
for the surface geometry of pulsational perturbations departing from a pure spherical harmonic form. ...
doi:10.1051/0004-6361:20053345
fatcat:ba7cor53yrbslm63d6ikkgzyaa
Ear-to-ear Capture of Facial Intrinsics
[article]
2016
arXiv
pre-print
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Photometric measurements made in a lightstage are used to estimate view dependent high resolution normal maps. ...
We use uncalibrated multiview stereo to estimate a coarse base mesh to which the photometric views are registered. ...
ACKNOWLEDGMENTS We are grateful to Hadi Dahlan for assistance with data collection and to Fufu Fang for assistance with lightstage calibration and programming. ...
arXiv:1609.02368v1
fatcat:ir7aynfoybamjpmsfpszheux6m
DETERMINATION OF THE SATELLITE'S ROTATION USING ITS LIGHT CURVE
2013
Odessa Astronomical Publications
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of light scattering by the artificial satellite's surface), as well as provides examples of such solutions for simulated occurrences ...
This article describes the method of determination of the Earth's artificial satellite's free (unplanned) rotation using its light curve and preliminary computed brightness charts (the spatial indicatrices ...
Selection of certain three moments with the interval between them close to a ninth of the rotation period and readout of the observed brightness. 6. ...
doi:10.18524/1810-4215.2013.26.82272
doaj:0899c79b616b4b44968c7c136991f42a
fatcat:lvsklegnvfb5xjknwezlc375dq
Analysis of theU B V light curves of TT hydrae by Kopal's frequency domain method
1982
Journal of astrophysics and astronomy
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Acknowledgement J.K. is thankful to University Grants Commission, New Delhi for the award of a Junior Research Fellowship. ...
The A 2m s actually consist of three parts: (2) where A 2m are the moments for spherical stars, A2m include the proximity effects such as reflection and rotational-tidal distortion, and 2m are photometric ...
Since the evolutionary status of undersized secondaries is controversial (Hall 1974) we have re-analysed the same data by Kopal's frequency domain technique which gives the solution in closed form. ...
doi:10.1007/bf02714793
fatcat:mmcolmalhrb5pmwqcrxta7zvse
Figure of the double Asteroid 90 Antiope from adaptive optics and lightcurve observations
2007
Icarus (New York, N.Y. 1962)
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The combination of these complementary observations has enabled us to derive a reliable physical and orbital solution for the system. ...
rotating bodies. ...
For many purposes a Minnaert law can provide a useful approximation to the photometric properties of surfaces. ...
doi:10.1016/j.icarus.2006.10.030
fatcat:o4hyrmh4cnbbvpdk7gbnzj3efq
Line profile variations in Doradus
1996
Monthly notices of the Royal Astronomical Society
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The only viable mechanism for understanding the variability is nonradial pulsation. We used the method of moments to identify the modes of pulsation of the three periodic components. ...
We present data from high-dispersion echelle spectra and simultaneous uvby photometry for γ Doradus. ...
Petterson for assistance with MIDAS reductions. WAL thanks Dr S James, ADFA, for computing support. ...
doi:10.1093/mnras/281.4.1315
fatcat:6m7vzl3gs5eo5lim4dr4p3lomq
Role of longitudinal activity complexes for solar and stellar dynamos
2012
Proceedings of the International Astronomical Union
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We also present results from a pure α2 mean-field dynamo model, which show that time-dependent behavior of the dynamo solutions can occur both in the form of an azimuthal dynamo wave and/or oscillatory ...
In this paper we first discuss observational evidence of longitudinal concentrations of magnetic activity in the Sun and rapidly rotating late-type stars with outer convective envelopes. ...
MJM and PJK thank NORDITA for hospitality during their visits. ...
doi:10.1017/s1743921313002457
fatcat:s4sjpoih7nfe3buduiwcjrmmhy
Recovering the intrinsic shape of early-type galaxies
2009
Monthly notices of the Royal Astronomical Society
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For galaxies that are very round or show no significant rotation, recovery of the shape is degenerate, unless additional constraints such as from a thin disk are available. ...
We simulate these observations with galaxy models that are representative of observed oblate fast-rotator to triaxial slow-rotator early-type galaxies. ...
ACKNOWLEDGMENTS We thank Anne-Marie Weijmans and Tim de Zeeuw for useful comments on the manuscript, and Michele Cappelari for many lively discussions. ...
doi:10.1111/j.1365-2966.2009.15177.x
fatcat:42yplctv75fmhpnvdxgwxxxsnu
Modeling of lightcurves of binary asteroids
2009
Icarus (New York, N.Y. 1962)
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The pole solutions and size ratios for 1999 KW 4 and 2000 DP 107 are in a good agreement with independent estimates from radar measurements. ...
We present a numerical method for inverting long-period components of lightcurves of asynchronous binary asteroids. 1998 RO 1 , for two of them from more than one apparition, were inverted. ...
In modeling the long-period component of the lightcurve, a rotationally symmetric shape is used for the primary in order to flatten out its rotational component. ...
doi:10.1016/j.icarus.2008.12.001
fatcat:jkojjmf6ajeenihdybacli6nhu
Photometric mode identification methods of non-radial pulsations in eclipsing binaries - I. Dynamic eclipse mapping
2011
Monthly notices of the Royal Astronomical Society
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The method needs a geometric model of the binary, accepts the light curve and the detected pulsation frequencies on input, and on output yields estimates of the pulsation patterns, in form of images -- ...
We conclude that, with reasonable assumptions, Dynamic Eclipse Mapping could be a powerful tool for mode identification, especially in moderately close eclipsing binary systems, where the pulsating component ...
If the rotation axis is unknown, then only the assumption of smoothness can be used, leading to a 'smoothest' solution, which will for certain be inferior to the regular solution and may be insufficient ...
doi:10.1111/j.1365-2966.2011.18400.x
fatcat:wo557icj2bgoxhu75s3ydyllgy
Measuring the Oblateness and Rotation of Transiting Extrasolar Giant Planets
2003
Astrophysical Journal
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We investigate the prospects for characterizing extrasolar giant planets by measuring planetary oblateness from transit photometry and inferring planetary rotational periods. ...
However, the measured rotation rate for these objects is non-unique due to degeneracy between obliquity and oblateness and the unknown component of obliquity along the line of sight. ...
There is no closed-form general analytical solution to the intersection of an ellipse and a circle. ...
doi:10.1086/373893
fatcat:7g3zwyysdfezthwcmzp3hxne3m
Shape Models and Physical Properties of Asteroids
[chapter]
2016
Astrophysics and Space Science Proceedings
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2017 pre-print arXiv:1705.05710v1 fatcat:5k4hvieuffaprkyz4nvh56favm
Asteroids travelling in orbits that are potentially hazardous for the Earth form an especially interesting group to be studied. ...
This paper briefly describes the data requirements and different techniques used to solve the lightcurve inversion problem. ...
But the data improvement will be considerable, both in terms of quantity (observations are expected for ∼300.000 asteroids, [29] ) and quality (the photometric accuracy is estimated to be ∼0.01 mag for ...
doi:10.1007/978-3-319-46179-3_4
fatcat:nlu5a4pjnjhlfmi7jhxumjhspm
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