Open AccessUniform B-Splines for the VTK Imaging Pipeline
Author(s) -
David G. Gobbi,
Yves Starreveld
Publication year - 2011
Publication title -
vtk journal
Language(s) - English
Resource type - Journals
ISSN - 2328-3459
DOI - 10.54294/9rdcf2
Subject(s) - spline (mechanical) , interpolation (computer graphics) , b spline , boundary (topology) , mathematics , piecewise , spline interpolation , box spline , image (mathematics) , algorithm , computer science , computer vision , mathematical analysis , bilinear interpolation , engineering , structural engineering
Uniform B-splines are used widely in image processing because they provide maximal smoothness compared to any other piecewise polynomial of the same degree and support. This paper describes VTK classes for performing two functions: image interpolation via B-splines, and non-rigid coordinate transformation via B-splines. Special attention is paid to different boundary conditions for the ends of the spline: image interpolation supports clamped, mirrored, and repeated boundary conditions while B- spline grid transformations support clamped and zero-past-boundary conditions. The use of these classes for image deformation is demonstrated.