Mainstream statistical methodology is generally applicable to data observed in Euclidean
space. There are, however, numerous contexts of considerable scientific interest in which …

We report on the implications for cosmic inflation of the 2018 release of the Planck cosmic
microwave background (CMB) anisotropy measurements. The results are fully consistent …

We present full-sky maps of the cosmic microwave background (CMB) and polarized
synchrotron and thermal dust emission, derived from the third set of Planck frequency maps …

Accurate lighting estimation is challenging yet critical to many computer vision and computer
graphics tasks such as high-dynamic-range (HDR) relighting. Existing approaches model …

This paper describes the identification, modelling, and removal of previously unexplained
systematic effects in the polarization data of the Planck High Frequency Instrument (HFI) on …

Planck has mapped the microwave sky in temperature over nine frequency bands between
30 and 857 GHz and in polarization over seven frequency bands between 30 and 353 GHz …

The richness of natural images makes the quest for optimal representations in image
processing and computer vision challenging. The latter observation has not prevented the …

This book is written as an introduction to analysis on the sphere and on the ball, and it
provides a cohesive account of recent developments in approximation theory and harmonic …

Serving both as an introduction to the subject and as a reference, this book presents the
theory in elegant form and with modern concepts and notation. It covers the general theory …

Random Fields on the Sphere presents a comprehensive analysis of isotropic spherical
random fields. The main emphasis is on tools from harmonic analysis, beginning with the …