The symbol of the normal operator for the d-plane transform on the Euclidean space

Autor:	Chihara, Hiroyuki
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Functional Analysis Primary 58J40 Secondary 53C65
Druh dokumentu:	Working Paper
Popis:	We directly compute the symbol of the normal operator for the d-plane transform on the Euclidean space. We show that this symbol is the product of the symbol of the power of the Laplacian of order -d/2 and a constant given by an invariant integral over excess-dimensional spaces. This leads to an alternative derivation of the filtered backprojection formula for the d-plane transform. Comment: 5 pages, no figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.18197 Zobrazit plný text záznamu View this record from Arxiv