In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability requirements with those provided by rectifiable sets, while maintaining the general algebraic structure usually seen in differential geometry. Varifolds generalize the idea of a rectifiable current, and are studied in geometric measure theory.
In mathematics, a varifold is, loosely speaking, a measure-theoretic generalization of the concept of a differentiable manifold, by replacing differentiability...
a concept of generalized surface which later evolved in the concept of varifold. The Young integral also is named after him and has now been generalised...
correspondence, Curve matching and Surface matching via mathematical currents and varifolds. There is a level of uncertainty associated with registering images that...
depend on the orientation of the two curves. Curve matching with varifoldsVarifold is an alternative to currents when orientation becomes an issue as...
Math. No. 67 (1988), 5–42. Allard, William K. On the first variation of a varifold. Ann. of Math. (2) 95 (1972), 417–491. Schoen, Richard; Uhlenbeck, Karen...
intrinsic to spherical manifolds, curves, currents and surfaces, tensors, varifolds, and time-series. The term LDDMM was first established as part of the...
study of tangent measures and tangent spaces leads to the notion of a varifold. Preiss, David (1987). "Geometry of measures in R n {\displaystyle R^{n}}...
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