Reconstructing Ellipsoids from Its Three Projections

نویسندگان

  • Temel Kayikcioglu
  • Mahmut Ozer
  • Ali Gangal
چکیده

In this study, a method for reconstructing ellipsoids from its three projection contours is described. The line integral projection of elipsoid with uniform density is developed for any projection view. Our reconstruction algorithm starts from the detecting projection contours that has elliptic shape. Then three sets of estimated ellipse parameters are used in reconstructing the ellipsoid. The method takes into account background, noise and blurring. The performance of the method is evaluated for various types of background structures, different ellipsoid dimensions and different levels of noise. Result demonstrates the validity and usefulness of the proposed method.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reconstructing Ellipsoids from Projections

In this paper we examine the problem of reconstructing a (possibly dynamic) ellipsoid from its (possibly inconsistent) orthogonal silhouette projections. We present a particularly convenient representation of ellipsoids as elements of the vector space of symmetric matrices. The relationship between an ellipsoid and its orthogonal projections in this representation is linear, unlike the standard...

متن کامل

DISCRETE TOMOGRAPHY AND FUZZY INTEGER PROGRAMMING

We study the problem of reconstructing binary images from four projections data in a fuzzy environment. Given the uncertainly projections,w e want to find a binary image that respects as best as possible these projections. We provide an iterative algorithm based on fuzzy integer programming and linear membership functions.

متن کامل

Approximation and Reconstruction from Attenuated Radon Projections

Attenuated Radon projections with respect to the weight function Wμ(x, y) = (1−x2−y2)μ−1/2 are shown to be closely related to the orthogonal expansion in two variables with respect to Wμ. This leads to an algorithm for reconstructing two dimensional functions (images) from attenuated Radon projections. Similar results are established for reconstructing functions on the sphere from projections d...

متن کامل

Determining the Gaussian probability distribution of the best-fit ellipsoid of revolution for a polymer chain from planar projections

Abstract This paper introduces an algorithm to obtain the probability distribution of the best-fit ellipsoid of an individual random-walk polymer chain from planar projections. This algorithm allows the true three-dimensional behaviour of polymer chains to be inferred from planar experimental measurements such as those obtained by light microscopy. Our algorithm is effective in retrieving the G...

متن کامل

Network Flow Algorithms for Discrete Tomography

There exists an elegant correspondence between the problem of reconstructing a 0-1 lattice image from two of its projections and the problem of finding a maximum flow in a certain graph. In this chapter we describe how network flow algorithms can be used to solve a variety of problems from discrete tomography. First, we describe the network flow approach for two projections and several of its g...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1990