Label Space: A Multi-object Shape Representation Export

@incollection{citeulike:4056398, abstract = {Two key aspects of coupled multi-object shape analysis are the choice of representation and subsequent registration to align the sample set. Current techniques for such analysis tend to trade off performance between the two tasks, performing well for one task but developing problems when used for the other. This article proposes label space, a representation that is both flexible and well suited for both tasks. We propose to map object labels to vertices of a regular simplex, e.g. the unit interval for two labels, a triangle for three labels, a tetrahedron for four labels, etc. This forms a linear space with the property that all labels are equally separated. On examination, this representation has several desirable properties: algebraic operations may be done directly, label uncertainty is expressed as a weighted mixture of labels, interpolation is unbiased toward any label or the background, and registration may be performed directly. To demonstrate these properties, we describe variational registration directly in this space. Many registration methods fix one of the maps and align the rest of the set to this fixed map. To remove the bias induced by arbitrary selection of the fixed map, we align a set of label maps to their intrinsic mean map.}, author = {Malcolm, James and Rathi, Yogesh and Tannenbaum, Allen}, citeulike-article-id = {4056398}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/978-3-540-78275-9_16}, citeulike-linkout-1 = {http://www.springerlink.com/content/6702527744351054}, doi = {10.1007/978-3-540-78275-9_16}, journal = {Combinatorial Image Analysis}, keywords = {imaging, medical, shape}, pages = {185--196}, posted-at = {2009-02-15 17:08:26}, priority = {2}, title = {Label Space: A Multi-object Shape Representation}, url = {http://dx.doi.org/10.1007/978-3-540-78275-9_16}, year = {2008} }

TY - CHAP ID - citeulike:4056398 L3 - citeulike-article-id:4056398 N2 - Two key aspects of coupled multi-object shape analysis are the choice of representation and subsequent registration to align the sample set. Current techniques for such analysis tend to trade off performance between the two tasks, performing well for one task but developing problems when used for the other. This article proposes label space, a representation that is both flexible and well suited for both tasks. We propose to map object labels to vertices of a regular simplex, e.g. the unit interval for two labels, a triangle for three labels, a tetrahedron for four labels, etc. This forms a linear space with the property that all labels are equally separated. On examination, this representation has several desirable properties: algebraic operations may be done directly, label uncertainty is expressed as a weighted mixture of labels, interpolation is unbiased toward any label or the background, and registration may be performed directly. To demonstrate these properties, we describe variational registration directly in this space. Many registration methods fix one of the maps and align the rest of the set to this fixed map. To remove the bias induced by arbitrary selection of the fixed map, we align a set of label maps to their intrinsic mean map. JF - Combinatorial Image Analysis EP - 196 TI - Label Space: A Multi-object Shape Representation SP - 185 KW - imaging KW - medical KW - shape AU - Malcolm, James AU - Rathi, Yogesh AU - Tannenbaum, Allen PY - 2008/// UR - http://dx.doi.org/10.1007/978-3-540-78275-9_16 ER -