کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
414814 681049 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matching point sets with respect to the Earth Mover's Distance
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Matching point sets with respect to the Earth Mover's Distance
چکیده انگلیسی

The Earth Mover's Distance (EMD) between two weighted point sets (point distributions) is a distance measure commonly used in computer vision for color-based image retrieval and shape matching. It measures the minimum amount of work needed to transform one set into the other one by weight transportation.We study the following shape matching problem: Given two weighted point sets A and B in the plane, compute a rigid motion of A that minimizes its Earth Mover's Distance to B. No algorithm is known that computes an exact solution to this problem. We present simple FPTASs and polynomial-time (2+ϵ)-approximation algorithms for the minimum Euclidean EMD between A and B under translations and rigid motions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Geometry - Volume 39, Issue 2, February 2008, Pages 118-133