A method is described for texturing surfaces using decals, images
placed on the surface using local parameterizations. Decal parameterizations
are generated with a novel O(N logN) discrete approximation to the exponential
map which requires only a single additional step in Dijkstra s graph-distance
algorithm. Decals are dynamically composited in an interface that addresses
many limitations of previous work. Tools for image processing,
deformation/feature-matching, and vector graphics are implemented using direct
surface interaction. Exponential map decals can contain holes and can also be
combined with conformal parameterization to reduce distortion. The
exponential map approximation can be computed on any point set, including
meshes and sampled implicit surfaces, and is relatively stable under
resampling. The decals stick to the surface as it is interactively deformed,
allowing the texture to be preserved even if the surface changes topology.
These properties make exponential map decals a suitable approach for texturing
animated implicit surfaces.
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