Ten years ago I wrote a filter for VTK called vtkImageReslice. Its purpose was simple: to resample an image volume through a 4×4 matrix transformation using interpolation. For my PhD work I also required deformable transformations, so I coded some. In order to connect these to my vtkImageReslice class, I included a vtkAbstractTransform class that described an abstract interface for a coordinate transformation operations in VTK. This work was sufficiently well-developed that I managed to publish a paper on it.
The interpolation code was not as well-developed, it was tightly integrated into vtkImageReslice and not modular at all. It did its job, certainly, and very efficiently, but as I added more interpolators the size of vtkImageReslice gradually expanded to over 5000 lines of source code, code that was becoming increasingly difficult to manage. I have finally completed a long overdue project that saw the creation of a vtkAbstractImageInterpolator class, providing an abstract interpolation interface and allowing me to move all the interpolation code from vtkImageReslice into several tidy little classes.
So far I provide two concrete interpolators. The first is a basic, default interpolator that provides nearest-neighbor, linear and cubic interpolation. The second is a sinc interpolator that provides high-quality interpolation and optionally performs antialiasing. Soon, I hope to also add some b-spline interpolation code that I have lying around. More information can be found at the VTK wiki page that I wrote for these classes: http://www.vtk.org/Wiki/VTK/Image_Interpolators.