An Operator Approach to Tangent Vector Field Processing
نویسندگان
چکیده
منابع مشابه
An Operator Approach to Tangent Vector Fields Processing Supplemental Material
Lemma 2.1 Let V a vector field on M and let T t F , t ∈ R be the functional representations of the diffeomorphisms Φt V : M→M of the one parameter group associated to the flow of V . If D is a linear partial differential operator then DV ◦D = D◦DV if and only if for any t ∈ R, T t F ◦D = D◦T t F . Proof Let p ∈ M and f ∈ C∞(M) be a smooth function. If V (p) = 0, then Φt V (p) = p and DV ( f )(p...
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2013
ISSN: 0167-7055
DOI: 10.1111/cgf.12174