Weighted Radon transforms for which Chang's approximate inversion formula is exact

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inversion of spherical means using geometric inversion and Radon transforms

We consider the problem of reconstmcting a continuous function on R" from certain values of its spherical means. A novel aspect of our approach is the use of geometric inversion to recast the inverse spherical mean problem as an inverse Radon transform problem. W define WO spherical mean inverse problems the entire problem and the causal problem. We then present a dual filtered backprojection a...

متن کامل

A Local Uniqueness Theorem for Weighted Radon Transforms

We consider a weighted Radon transform in the plane, Rm(ξ, η) = R R f(x, ξx + η)m(x, ξ, η)dx, where m(x, ξ, η) is a smooth, positive function. Using an extension of an argument of Strichartz we prove a local injectivity theorem for Rm for essentially the same class of m(x, ξ, η) that was considered by Gindikin in his article in this issue.

متن کامل

An Improved Exact Inversion Formula for Cone Beam Vector Tomography

In this article we present an improved exact inversion formula for the 3D cone beam transform of vector fields. It is well known that only the solenoidal part of a vector field can be determined by the longitudinal ray transform of a vector field in cone beam geometry. The exact inversion formula, as it was developed in A. Katsevich and T. Schuster, An exact inversion formula for cone beam vect...

متن کامل

Discrete-Time Exact and Approximate Dynamic Inversion for Settle Performance

Single-track hard disk drive (HDD) seek performance is measured by settle time, ts, defined as the time from the arrival of a seek command until the measured position reaches and stays within an acceptable distance from the target track. In this paper, we show the effective use of feedforward dynamic inversion, coupled with an aggressive desired trajectory yd, to achieve high performance settle...

متن کامل

Estimates for Generalized Radon Transforms

Sobolev and L p ? L q estimates for degenerate Fourier integral operators with fold and cusp singularities are discussed. The results for folds yield sharp estimates for restricted X-ray transforms and averages over non-degenerate curves in R 3 and those for cusps give sharp L 2 estimates for restricted X-ray transforms in R 4. In R 4 , sharp Lebesgue space estimates are proven for a class of m...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Russian Mathematical Surveys

سال: 2011

ISSN: 0036-0279,1468-4829

DOI: 10.1070/rm2011v066n02abeh004747