2 papers
cs.CG2022
Recent insights on the Uniqueness Problem of Diffeomorphisms determined by Prescribed Jacobian Determinant and Curl
Zicong Zhou, Guojun Liao
Variational Principle (VP) forms diffeomorphisms with prescribed Jacobian determinant (JD) and curl. Examples demonstrate that, (i) JD alone can not uniquely determine a diffeomorp…
cs.CG2016
New method of averaging diffeomorphisms based on Jacobian determinant and curl vector
Xi Chen, Guojun Liao
Averaging diffeomorphisms is a challenging problem, and it has great applications in areas like medical image atlases. The simple Euclidean average can neither guarantee the averag…