Research
Cuttingedge R&D
Our products are based on proprietary inhouse research. We run a cuttingedge, multidisciplinary research team in AI and VR that not only develops the technologies underlying our products, but also performs fundamental research in these areas.
We believe it is our unique multidisciplinary approach, drawing on our backgrounds in physics, computer graphics and vision, applied mathematics, and machine learning, that allows us to bring new insights to solve open problems across these fields.
Efficient Generalized Spherical CNNs
Abstract: Many problems across computer vision and the natural sciences require the analysis of spherical data, for which representations may be learned efficiently by encoding equivariance to rotational symmetries. We present a generalized spherical CNN framework that encompasses various existing approaches and allows them to be leveraged alongside each other. The only existing nonlinear spherical CNN layer that is strictly equivariant has complexity O(C^{2}L^{5}), where C is a measure of representational capacity and L the spherical harmonic bandlimit. Such a high computational cost often prohibits the use of strictly equivariant spherical CNNs. We develop two new strictly equivariant layers with reduced complexity O(CL^{4}) and O(CL^{3} log L), making larger, more expressive models computationally feasible. Moreover, we adopt efficient sampling theory to achieve further computational savings. We show that these developments allow the construction of more expressive hybrid models that achieve stateoftheart accuracy and parameter efficiency on spherical benchmark problems.
Open Source
We make use of and contribute to a number of open source codes developed initially by Kagenova team members.

SSHT: Spin spherical harmonic transforms
Functionality to perform fast, exact spin spherical harmonic transforms based on the efficient sampling theory on the sphere of McEwen & Wiaux (2011). 
SO3: Fast Wigner transforms on the rotation group
Functionality to compute fast, exact Wigner transforms on the rotation group based on the efficient sampling theory of McEwen et al. (2015).
Patents
The technology behind our products is patented in a number of juristictions, with further jurisdictions and patents pending.

Method and system for providing at least a portion of content having six degrees of freedom motion
Related Research
Beyond our work at Kagenova, several team members have done important research in related fields. A selection of articles related to the analysis of 360° spherical data is included below.

A. Aslam, Z. Khalid, J. D. McEwen (2020). Multiscale optimal filtering on the sphere. IEEE Sig. Proc. Let., submitted.

P. J. Roddy, J. D. McEwen (2020). Sifting convolution on the sphere. IEEE Sig. Proc. Let., submitted.

M. A. Price, J. D. McEwen, L. Pratley, T. D. Kitching (2020). Sparse Bayesian massmapping with uncertainties: fullsky observations on the celestial sphere. Mon. Not. Roy. Astron. Soc., submitted.

J. D. McEwen, M. A. Price (2019). Scalediscretised ridgelet transform on the sphere. 27th European Signal Processing Conference (EUSIPCO).

U. Elahi, Z. Khalid, R. A. Kennedy, J. D. McEwen (2018). An optimaldimensionality sampling for spins functions on the sphere. IEEE Sig. Proc. Let..

A. P. Bates, Z. Khalid, J. D. McEwen, R. A. Kennedy, A. Daducci, E. J. CanalesRodríguez (2018). Optimaldimensionality sampling and robust 3D diffusion signal reconstruction. IEEE Trans. Sig. Proc., submitted.

J. D. McEwen, C. Durastanti, Y. Wiaux (2018). Localisation of directional scalediscretised wavelets on the sphere. Applied Comput. Harm. Anal..

W. Nafees, Z. Khalid, R. A. Kennedy, J. D. McEwen (2017). Optimaldimensionality sampling on the sphere: improvements and variations. 12th International Conference on Sampling Theory and Applications (SampTA), invited contribution.

U. Elahi, Z. Khalid, R. A. Kennedy, J. D. McEwen (2017). Iterative residual fitting for spherical harmonic transform of bandlimited signals on the sphere: generalization and analysis. 12th International Conference on Sampling Theory and Applications (SampTA).

A. P. Bates, Z. Khalid, J. D. McEwen, R. A. Kennedy (2017). An optimal dimensionality multishell sampling scheme with accurate and efficient transforms for diffusion MRI. IEEE International Symposium on Biomedical Imaging (ISBI).

C. G. R. Wallis, J. D. McEwen, T. D. Kitching, B. Leistedt, A. Plouviez (2017). Mapping dark matter on the celestial sphere with weak gravitational lensing. Mon. Not. Roy. Astron. Soc., submitted.

X. Cai, C. G. R. Wallis, J. Y. H. Chan, J. D. McEwen (2017). Waveletbased segmentation method for spherical images. Biomedical and Astronomical Signal Processing Frontiers (BASP).

A. P. Bates, Z. Khalid, R. A. Kennedy, J. D. McEwen (2017). Multishell sampling scheme with accurate and efficient transforms for diffusion MRI. Biomedical and Astronomical Signal Processing Frontiers (BASP).

J. D. McEwen, S. M. Feeney, H. V. Peiris, Y. Wiaux, C. Ringeval, F. R. Bouchet (2017). WaveletBayesian inference of cosmic strings embedded in the cosmic microwave background. Mon. Not. Roy. Astron. Soc..

X. Cai, C. G. R. Wallis, J. Y. H. Chan, J. D. McEwen (2020). Waveletbased segmentation on the sphere. Pattern Recognition.

C. G. R. Wallis, Y. Wiaux, J. D. McEwen (2017). Sparse image reconstruction on the sphere: analysis vs synthesis. IEEE Trans. Image Proc..

B. Leistedt, J. D. McEwen, M. Büttner, H. V. Peris (2017). Wavelet reconstruction of E and B modes for CMB polarisation and cosmic shear analyses. Mon. Not. Roy. Astron. Soc..

K. K. Rogers, H. V. Peiris, B. Leistedt, J. D. McEwen, A. Pontzen (2016). SpinSILC: CMB polarisation component separation with spin wavelets. Mon. Not. Roy. Astron. Soc..

D. Saadeh, S. M. Feeney, A. Pontzen, H. V. Peiris, J. D. McEwen (2016). A framework for testing isotropy with the cosmic microwave background. Mon. Not. Roy. Astron. Soc..

K. K. Rogers, H. V. Peiris, B. Leistedt, J. D. McEwen, A. Pontzen (2016). SILC: a new Planck Internal Linear Combination CMB temperature map using directional wavelets. Mon. Not. Roy. Astron. Soc..

J. Y. H. Chan, B. Leistedt, T. D. Kitching, J. D. McEwen (2017). Secondgeneration curvelets on the sphere. IEEE Trans. Sig. Proc..

J. D. McEwen, B. Leistedt, M. Büttner, H. V. Peiris, Y. Wiaux (2015). Directional spin wavelets on the sphere. IEEE Trans. Sig. Proc., submitted.

Z. Khalid, S. Durrani, R. A. Kennedy, Y. Wiaux, J. D. McEwen (2016). GaussLegendre sampling on the rotation group. IEEE Sig. Proc. Let..

Z. Khalid, R. A. Kennedy, J. D. McEwen (2016). Slepian spatialspectral concentration on the ball. Applied Comput. Harm. Anal..

B. Leistedt, J. D. McEwen, T. D. Kitching, H. V. Peiris (2015). 3D weak lensing with spin wavelets on the ball. Phys. Rev. D..

J. D. McEwen, M. Büttner, B. Leistedt, H. V. Peiris, Y. Wiaux (2015). A novel sampling theorem on the rotation group. IEEE Sig. Proc. Let..

B. Leistedt, J. D. McEwen, M. Büttner, H. V. Peiris, P. Vandergheynst, Y. Wiaux (2015). Analysing the polarisation of the CMB with spin scalediscretised wavelets. Biomedical and Astronomical Signal Processing Frontiers (BASP).

J. D. McEwen, M. Büttner, B. Leistedt, H. V. Peiris, P. Vandergheynst, Y. Wiaux (2014). On spin scalediscretised wavelets on the sphere for the analysis of CMB polarisation. Proceedings IAU Symposium No. 306, 2014.

R. A. Kennedy, P. Sadeghi, Z. Khalid, J. D. McEwen (2013). Classification and construction of closedform kernels for signal representation on the 2sphere. Wavelets and Sparsity XV, SPIE international symposium on optics and photonics, invited contribution.

B. Leistedt, H. V. Peiris, J. D. McEwen (2013). Flaglets for studying the largescale structure of the Universe. Wavelets and Sparsity XV, SPIE international symposium on optics and photonics, invited contribution.

J. D. McEwen, P. Vandergheynst, Y. Wiaux (2013). On the computation of directional scalediscretized wavelet transforms on the sphere. Wavelets and Sparsity XV, SPIE international symposium on optics and photonics, invited contribution.

Z. Khalid, R. A. Kennedy, J. D. McEwen (2014). An optimaldimensionality sampling scheme on the sphere with fast spherical harmonic transforms. IEEE Trans. Sig. Proc..

S. M. Feeney, D. Marinucci, J. D. McEwen, H. V. Peiris, B. Wandelt, V. Cammarota (2014). Sparse inpainting and isotropy. J. Cosmol. Astropart. P..

J. D. McEwen, T. Josset, S. M. Feeney, H. V. Peiris, A. N. Lasenby (2013). Bayesian analysis of anisotropic cosmologies: Bianchi VII–h and WMAP. Mon. Not. Roy. Astron. Soc..

J. D. McEwen, B. Leistedt (2013). FourierLaguerre transform, convolution and wavelets on the ball. 10th International Conference on Sampling Theory and Applications (SampTA), invited contribution.

B. Leistedt, J. D. McEwen (2013). Flaglets: Exact wavelets on the ball. Biomedical and Astronomical Signal Processing Frontiers (BASP).

B. Leistedt, J. D. McEwen, P. Vandergheynst, Y. Wiaux (2013). S2LET: A code to perform fast wavelet analysis on the sphere. Astron. & Astrophys..

Z. Khalid, R. A. Kennedy, S. Durrani, P. Sadeghi, Y. Wiaux and** J. D. McEwen** (2013). Fast directional spatially localized spherical harmonic transform. IEEE Trans. Sig. Proc..

J. D. McEwen, G. Puy, J.Ph. Thiran, P. Vandergheynst, D. Van De Ville, Y. Wiaux (2013). Sparse image reconstruction on the sphere: implications of a new sampling theorem. IEEE Trans. Image Proc..

B. Leistedt, J. D. McEwen (2012). Exact wavelets on the ball. IEEE Trans. Sig. Proc..

J. D. McEwen, S. M. Feeney, M. C. Johnson, H. V. Peiris (2012). Optimal filters for detecting cosmic bubble collisions. Phys. Rev. D..

J. D. McEwen, Y. Wiaux (2011). A novel sampling theorem on the sphere. IEEE Trans. Sig. Proc..

J. D. McEwen, Y. Wiaux (2011). Compressed sensing for widefield radio interferometric imaging. Mon. Not. Roy. Astron. Soc..

J. D. McEwen, Y. Wiaux, D. M. Eyers (2011). Data compression on the sphere. Astron. & Astrophys..

J. D. McEwen (2011). Fast, exact (but unstable) spin spherical harmonic transforms. All Res. J. Phys..

J. D. McEwen, A. M. M. Scaife (2008). Simulating fullsky interferometric observations. Mon. Not. Roy. Astron. Soc..

Y. Wiaux, J. D. McEwen, P. Vandergheynst, O. Blanc (2008). Exact reconstruction with directional wavelets on the sphere. Mon. Not. Roy. Astron. Soc..

J. D. McEwen, M. P. Hobson, A. N. Lasenby (2008). Optimal filters on the sphere. IEEE Trans. Sig. Proc..

J. D. McEwen, P. Vielva, Y. Wiaux, R. B. Barreiro, L. Cayón, M. P. Hobson, A. N. Lasenby, E. Martı́nezGonzález., J. L. Sanz (2007). Cosmological applications of a wavelet analysis on the sphere. J. Fourier Anal. and Appl., invited contribution.

Y. Wiaux, J. D. McEwen, Vielva (2007). Complex data processing: fast wavelet analysis on the sphere. J. Fourier Anal. and Appl., invited contribution.

J. D. McEwen, M. P. Hobson, A. N. Lasenby (2006). A directional continuous wavelet transform on the sphere. ArXiv.

J. D. McEwen, M. P. Hobson, D. J. Mortlock, A. N. Lasenby (2007). Fast directional continuous spherical wavelet transform algorithms. IEEE Trans. Sig. Proc..

J. D. McEwen, S. M. Feeney, M. C. Johnson, H. V. Peiris (2012). Detecting candidate cosmic bubble collisions with optimal filters. 47th Rencontres de Moriond.

J. D. McEwen, G. Puy, J.Ph. Thiran, P. Vandergheynst, D. Van De Ville, Y. Wiaux (2011). Sampling theorems and compressive sensing on the sphere. Wavelets and Sparsity XIV, SPIE international symposium on optics and photonics, invited contribution.

J. D. McEwen, G. Puy, J.Ph. Thiran, P. Vandergheynst, D. Van De Ville, Y. Wiaux (2011). Implications for compressed sensing of a new sampling theorem on the sphere. Signal Processing with Adaptive Sparse Structured Representations (SPARS).

A. Daducci, J. D. McEwen, D. Van De Ville, J.P. Thiran, Y. Wiaux (2011). Harmonic analysis of spherical sampling in diffusion MRI. 19th Annual Meeting of the International Society for Magnetic Resonance in Medicine.

J. D. McEwen, M. P. Hobson, A. N. Lasenby, D. J. Mortlock (2004). A fast directional continuous spherical wavelet transform. XXXIXth Rencontres de Moriond.
Further publications can be found here.