Surface matching via currents

摘要: We present a new method for computing an optimal deformation between two arbitrary surfaces embedded in Euclidean 3-dimensional space. Our main contribution is building norm on the space of via representation by currents geometric measure theory. Currents are appropriate choice representations because they inherit natural transformation properties from differential forms. impose Hilbert structure currents, whose gives convenient and practical way to define matching functional. Using this norm, we also derive implement surface algorithm under large framework, guaranteeing that solution one-to-one regular map entire ambient detail implementation triangular meshes results 3D face medical image data.