Method of analytic continuation for the inverse spherical mean transform in constant curvature spaces

2012/11/01 by Yuri A. Antipov, Y. A. Antipov, Ricardo Estrada +1 · 5 citations
Engineering · Mathematics · #Photoacoustic and Ultrasonic Imaging #Numerical methods in inverse problems #Thermography and Photoacoustic Techniques

paper · doi:10.1007/s11854-012-0046-y

Cited by

• Range description for a spherical mean transform on spaces of constant curvature
• Recovering functions from the spherical mean transform with limited radii data by expansion into spherical harmonics
• Generalized spherical mean value operators on Euclidean space
• On the null space of the backprojection operator and Rubin’s conjecture for the spherical mean transform
• The Vertical Slice Transform in Spherical Tomography