2023/09/08 by Vasiliki Liontou, Matilde Marcolli, Liontou, Vasiliki +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #46B15 #53D10 #70E60 #94A12 #Advanced Vision and Imaging #Cell Image Analysis Techniques #Differential Geometry (math.DG) #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Functional Analysis (math.FA) #Image Processing Techniques and Applications #Robotics (cs.RO) #Signal Processing (eess.SP) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2309.04094
openalex publication_date 2023/09/08 · openalex created_date 2023/09/12 · openalex updated_date 2026/07/28
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can detect the presence of higher-dimensional boundaries in the manifold signal. We describe an application in configuration spaces in robotics with sharp constrains. The construction is a higher-dimensional generalization of the geometric setting developed for the study of signal analysis in the visual cortex.