27 September 2011 Geometric optimization on spaces of finite frames
Author Affiliations +
A finite (μ; S)-frame variety consists of the real or complex matrices F = [f1...fN] with frame operator FF* = S, and satisfying IIfiII = μi for all i = 1,...,N. Here, S is a fixed Hermitian positive definite matrix and μ = [μ1,..., μN] is a fixed list of lengths. These spaces generalize the well-known spaces of finite unit norm tight frames. We explore the local geometry of these spaces and develop geometric optimization algorithms based on the resulting insights.
© (2011) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Nate Strawn, "Geometric optimization on spaces of finite frames", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380R (27 September 2011); doi: 10.1117/12.894981; https://doi.org/10.1117/12.894981

Back to Top