Imperial College London
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Dr Ben Glocker

Faculty of Engineering, Department of Computing

Professor in Machine Learning for Imaging
 
 
 
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Contact

 

+44 (0)20 7594 8334b.glocker Website CV

 
 
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Location

 

377Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@inproceedings{Folgoc:2019:10.1007/978-3-030-20351-1_17,
author = {Folgoc, LL and Castro, DC and Tan, J and Khanal, B and Kamnitsas, K and Walker, I and Alansary, A and Glocker, B},
doi = {10.1007/978-3-030-20351-1_17},
pages = {221--234},
publisher = {Springer Verlag},
title = {Controlling meshes via curvature: spin transformations for pose-invariant shape processing},
url = {http://dx.doi.org/10.1007/978-3-030-20351-1_17},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - CPAPER
AB  - We investigate discrete spin transformations, a geometric framework tomanipulate surface meshes by controlling mean curvature. Applications includesurface fairing -- flowing a mesh onto say, a reference sphere -- and meshextrusion -- e.g., rebuilding a complex shape from a reference sphere andcurvature specification. Because they operate in curvature space, theseoperations can be conducted very stably across large deformations with no needfor remeshing. Spin transformations add to the algorithmic toolbox forpose-invariant shape analysis. Mathematically speaking, mean curvature is ashape invariant and in general fully characterizes closed shapes (together withthe metric). Computationally speaking, spin transformations make thatrelationship explicit. Our work expands on a discrete formulation of spintransformations. Like their smooth counterpart, discrete spin transformationsare naturally close to conformal (angle-preserving). This quasi-conformalitycan nevertheless be relaxed to satisfy the desired trade-off between areadistortion and angle preservation. We derive such constraints and propose aformulation in which they can be efficiently incorporated. The approach isshowcased on subcortical structures.
AU  - Folgoc,LL
AU  - Castro,DC
AU  - Tan,J
AU  - Khanal,B
AU  - Kamnitsas,K
AU  - Walker,I
AU  - Alansary,A
AU  - Glocker,B
DO  - 10.1007/978-3-030-20351-1_17
EP  - 234
PB  - Springer Verlag
PY  - 2019///
SN  - 0302-9743
SP  - 221
TI  - Controlling meshes via curvature: spin transformations for pose-invariant shape processing
UR  - http://dx.doi.org/10.1007/978-3-030-20351-1_17
UR  - http://arxiv.org/abs/1903.02429v1
UR  - http://hdl.handle.net/10044/1/69939
ER  -
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