Product of Distributions Applied to Discrete Differential Geometry

Authors: Vincenzo Nardozza

A method for dealing with the product of step discontinuous and delta functions is proposed. A standard method for applying the above defined product of distributions to polyhedron vertices is analysed and the method is applied to a special case where the well known defect angle formula, for the discrete curvature of polyhedra, is derived using the tools of tensor calculus.

Comments: 16 Pages.

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Submission history

[v1] 2012-11-18 14:50:51
[v2] 2012-11-21 16:25:23
[v3] 2012-11-30 14:28:45
[v4] 2012-12-17 17:51:53
[v5] 2012-12-18 17:45:07
[v6] 2013-01-03 09:05:50
[v7] 2013-02-15 11:34:01
[v8] 2013-04-23 12:53:29
[v9] 2013-07-14 16:04:32

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