کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4649326 | 1342450 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability results for uniquely determined sets from two directions in discrete tomography
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stability results for uniquely determined sets from two directions in discrete tomography Stability results for uniquely determined sets from two directions in discrete tomography](/preview/png/4649326.png)
چکیده انگلیسی
In this paper we prove several new stability results for the reconstruction of binary images from two projections. We consider an original image that is uniquely determined by its projections and possible reconstructions from slightly different projections. We show that for a given difference in the projections, the reconstruction can only be disjoint from the original image if the size of the image is not too large. We also prove an upper bound for the size of the image given the error in the projections and the size of the intersection between the image and the reconstruction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 309, Issue 12, 28 June 2009, Pages 3905–3916
Journal: Discrete Mathematics - Volume 309, Issue 12, 28 June 2009, Pages 3905–3916
نویسندگان
Birgit van Dalen,