International audienceThis paper presents a new method for classifying surface datavia spectral representations of shapes. Our approach benefits classificationproblems that involve data living on surfaces, such as in cortical parcellation.For instance, current methods for labeling cortical points into surface parcelsoften involve a slow mesh deformation toward pre-labeled atlases, requiringas much as 4 hours with the established FreeSurfer. This may burden neurosciencestudies involving region-specific measurements. Learning techniquesoffer an attractive computational advantage, however, their representation ofspatial information, typically defined in a Euclidean domain, may be inadequatefor cortical parcellation. Indeed, cortical data resides on surfaces thatare highly variable in space and shape. Consequently, Euclidean representationsof surface data may be inconsistent across individuals. We proposeto fundamentally change the spatial representation of surface data, by exploitingspectral coordinates derived from the Laplacian eigenfunctions ofshapes. They have the advantage over Euclidean coordinates, to be geometryaware and to parameterize surfaces explicitly. This change of paradigm,from Euclidean to spectral representations, enables a classifier to be applieddirectly on surface data via spectral coordinates. In this paper, we decide tobuild upon the successful Random Decision Forests algorithm and improve itsspatial representation with spectral features. Our method, Spectral Forests,is shown to significantly improve the accuracy of cortical parcellations overstandard Random Decision Forests (74% versus 28% Dice overlaps), and produceaccuracy equivalent to FreeSurfer in a fraction of its time (23 secondsversus 3 to 4 hours)
