@article{pub6703,
    abstract = {We introduce a new type of multi-resolution image pyramid for
high-resolution images called sparse pdf maps (sPDF-maps). Each
pyramid level consists of a sparse encoding of continuous probability
density functions (pdfs) of pixel neighborhoods in the original image.
The encoded pdfs enable the accurate computation of non-linear image
operations directly in any pyramid level with proper pre-filtering
for anti-aliasing, without accessing higher or lower resolutions. The
sparsity of sPDF-maps makes them feasible for gigapixel images,
while enabling direct evaluation of a variety of non-linear operators
from the same representation. We illustrate this versatility for antialiased
color mapping, O(n) local Laplacian filters, smoothed local
histogram filters (e.g., median or mode filters), and bilateral filters.},
    year = {2012},
    title = {Sparse PDF Maps for Non-Linear Multi-Resolution Image Operations},
    editor = {Julie Dorsey},
    journal = {ACM Transactions on Graphics (TOG)},
    volume = {31},
    pages = {133:1-133:12},
    publisher = {ACM},
    author = {Jens Krüger and Markus Hadwiger and Ronell Sicat and Johanna Beyer and Torsten Möller}
}