Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Robust 2D Phase Estimation and Demodulation with the Structure Multivector

Student-Run Research Seminar

Speaker: Brian Knight, UC Davis
Location: 3106 MSB
Start time: Wed, Feb 28 2024, 1:10PM

The monogenic signal (MS) was introduced by Felsberg and Sommer and, independently, Larkin, in 2000 under the name vortex operator. It is a two-dimensional (2D) analog of the well known analytic signal, and allows for direct amplitude and phase demodulation of modulated images so long as the signal is intrinsically one-dimensional (i1D). Felsberg’s thesis also introduced the structure multivector (SMV) as a model allowing for intrinsically 2D (i2D) structure. While the MS has become a well-known tool in the image processing community, the SMV is little used, although even in the case of i1D signals it provides a more robust orientation than the MS. I'll discuss the development of both the MS and the SMV and discuss some experiments showcasing the advantage of using the SMV in place of the MS in the presence of noise. This work is in collaboration with Dr. Naoki Saito.  

Free pizzas as always:)