# Surface Matching via Currents

@article{Vaillant2005SurfaceMV, title={Surface Matching via Currents}, author={Marc Vaillant and Joan Alexis Glaun{\`e}s}, journal={Information processing in medical imaging : proceedings of the ... conference}, year={2005}, volume={19}, pages={ 381-92 } }

We present a new method for computing an optimal deformation between two arbitrary surfaces embedded in Euclidean 3-dimensional space. Our main contribution is in building a norm on the space of surfaces via representation by currents of geometric measure theory. Currents are an appropriate choice for representations because they inherit natural transformation properties from differential forms. We impose a Hilbert space structure on currents, whose norm gives a convenient and practical way to…

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