# Integration over curves and surfaces defined by the closest point mapping

@article{Kublik2015IntegrationOC, title={Integration over curves and surfaces defined by the closest point mapping}, author={Catherine Kublik and Richard Tsai}, journal={Research in the Mathematical Sciences}, year={2015}, volume={3}, pages={1-17} }

We propose a new formulation for integrating over smooth curves and surfaces that are described by their closest point mappings. Our method is designed for curves and surfaces that are not defined by any explicit parameterization and is intended to be used in combination with level set techniques. However, contrary to the common practice with level set methods, the volume integrals derived from our formulation coincide exactly with the surface or line integrals that one wishes to compute. We… CONTINUE READING

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