Compressive Sensing: Explained and Challenged

Course Description

This course will, after all the euphoria about Compressive Sensing (CS), serve to get our feet back on the ground by taking a fresh and objective view. What works and what doesn’t? Which promises are realistic and which are less so? To decide whether or not to use CS we should not mainly, or solely, rely on mathematicians telling us that it works, with no recourse to any challenge of that viewpoint. A fair amount of understanding is necessary before challenging CS is possible, appropriate, and has a chance to succeed. This course provides that understanding.

Course Outline

Below are fifteen topics in the order in which they will be presented.

  • Introduction
  • The data
  • Signal and noise, coherent and incoherent
  • The Measurement domain and the sparse domain
  • Dictionaries and atoms
  • Sparse or Compressible
  • Other areas where CS is used
  • Dynamic range
  • Resolution
  • Randomization and sparsification
  • Adaptive and non-adaptive
  • Reconstruction
  • Thresholding
  • Analysis of some published examples
  • The theory

Participants’ Profile

This course is strongly recommended for seismic survey designers and those expected to provide support to those designs. It is not intended for Compression Sensing experts, although they are very welcome to join.

About the Instructor

Jan de Bruin worked in nine different countries for Shell, and was accountable for seismic acquisition, seismic processing and quantitative interpretation in a variety of locations. After leaving Shell in 2015, he carried out a number of scouting trips in interesting locations where seismic crews were at work, attended many conferences and workshops, published a number of papers about AVO, put together a course and a book about the practical elements of seismic acquisition, and early 2022 joined BGP International as Chief Geophysicist. As a result he is up-to-date on developments in a wide range of geophysical technologies. He has an MSc degree Physics from Delft University and an MBA from Henley Business School. In recent years he has specialized further in acquisition geometries, deblending, and compressive sensing.