Shape-based interpolation of nD gray scenes

George J. Grevera; Jayaram K. Udupa

doi:10.1117/12.238438

15 April 1996 Shape-based interpolation of nD gray scenes

George J. Grevera, Jayaram K. Udupa

Proceedings Volume 2707, Medical Imaging 1996: Image Display; (1996) https://doi.org/10.1117/12.238438
Event: Medical Imaging 1996, 1996, Newport Beach, CA, United States

Abstract

Shape-based interpolation as applied to binary images causes the interpolation process to be influenced by the shape of the object. It accomplishes this by first applying a distance transform to the data. This results in the creation of a gray-level data set in which the value at each point represents the minimum distance from that point to the surface of the object. (By convention, points inside the object are assigned positive values; points outside are assigned negative values.) This distance transformed data set is then interpolated using linear or higher order interpolation and is then thresholded at a distance value of 0 to produce the interpolated binary data set. In this paper, we describe a new method that extends shape-based interpolation to gray-level input data sets. This generalization consist of first lifting the n-dimensional image data to represent it as a surface, or equivalently as a binary image, in an (n plus 1)- dimensional space. The binary shape-based method is then applied to this image to create an (n plus 1)-dimensional binary interpolated image. Finally, this image is collapsed (inverse of lifting) to create the n-dimensional interpolated gray-level data set. We have conducted several evaluation studies involving patient CT and MR data as well mathematical phantoms. They all indicate that the new method produces more accurate results than conventional gray-level interpolation methods, although at the cost of increased computation.

Citation Download Citation

George J. Grevera and Jayaram K. Udupa "Shape-based interpolation of nD gray scenes", Proc. SPIE 2707, Medical Imaging 1996: Image Display, (15 April 1996); https://doi.org/10.1117/12.238438

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available