We introduce a novel framework for nonrigid feature
matching among multiple sets in a way that takes into consideration
both the feature descriptor and the features spatial
arrangement. We learn an embedded representation
that combines both the descriptor similarity and the spatial
arrangement in a unified Euclidean embedding space.
This unified embedding is reached by minimizing an objective
function that has two sources of weights; the feature
spatial arrangement and the feature descriptor similarity
scores across the different sets. The solution can be obtained
directly by solving one Eigen-value problem that is
linear in the number of features. Therefore, the framework
is very efficient and can scale up to handle a large number
of features. Experimental evaluation is done using different
sets showing outstanding results compared to the state of
the art; up to 100% accuracy is achieved in the case of the
well known ‘Hotel’ sequence.