Signal-specialized parameterization for piecewise linear reconstruction
Symposium on Geometry Processing 2004, 57-66.
Optimizing texture coordinates based on nonlinearity of texture content.
We propose a metric for surface parameterization specialized to its signal that can be used to create more
efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our metric predicts
the signal approximation error - the difference between the original surface signal and its reconstruction
from the sampled texture. Unlike previous methods, our metric assumes piecewise-linear reconstruction, and
thus makes a good approximation to bilinear reconstruction employed in graphics hardware. We achieve
significant savings in texture area for a desired signal accuracy compared to the signal-specialized
parameterization metric proposed by Sander et al. in the 2002 Eurographics Workshop on Rendering.
Many of our ideas (signal-specialization, integrated metric tensor, atlas
packing, etc.) have been adapted in the
technology of the Microsoft
Eurographics Association Copyright Notice
Permission to make digital or hard copies of part or all of this work for personal or
classroom use is granted without fee provided that copies are not made or distributed for profit or commercial
advantage and that copies bear this notice and the full citation on the first page. Copyrights for components
of this work owned by others than Eurographics must be honored.