We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to construct an invariant Laplacian from which local and global geometric structures are extracted. Applications of the proposed framework demonstrate its power in generalizing and enriching the existing set of tools for shape analysis.
|Title of host publication||2011 IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2011|
|Publisher||IEEE Computer Society|
|Number of pages||7|
|State||Published - 2011|
|Name||Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition|