Effects of averageness and symmetry on the judgment of facial attractiveness were investigated using a generalized Procrustes method and multiple regression analyses. Participants (n=114) rated attractiveness of 96 photographs of faces with neutral expressions. Through a generalized Procrustes method, the faces and their mirror-reversed versions were represented as points on a hyperplane. Both ...

Conventional methods for shape analysis, based upon Procrustes and PCA, seem incapable of dealing with ‘non-landmark’ features, meaning measured positions not associated with well defined locations. This is due to an assumption of homogeneous errors, associated with an attempt to extract linear models with biologically meaningful descriptions. We propose a shape analysis system based upon the d...

This paper explores linear methods for combining several word embedding models into an ensemble. We construct the combined models using an iterative method based on either ordinary least squares regression or the solution to the orthogonal Procrustes problem. We evaluate the proposed approaches on Estonian—a morphologically complex language, for which the available corpora for training word emb...

Conventional methods for shape analysis, based upon Procrustes and PCA, seem incapable of dealing with ‘non-landmark’ features, meaning measured locations not associated with well defined locations. We argue here that this is due to an assumption of homogenous errors, associated with an attempt to extract linear models with biologically meaningful descriptions. This document contains the mathem...

Comparison of different object instances is hard due to the large intra-class variability. Part of this variability is due to viewpoint and pose, another due to subcategories and texture. The variability due to mild viewpoint changes, can be normalized out by aligning the samples. In contrast to the classical Procrustes distance, we propose distances based on non-rigid alignment and show that t...

To design sustainable water quality monitoring programs, practitioners must choose meaningful variables, justify the temporal and spatial extent of measurements, and demonstrate that program objectives are successfully achieved after implementation. Consequently, data must be analyzed across several variables and often from multiple sites and seasons. Multivariate techniques such as ordination ...

A novel approach to fitting parabolas to scattered data is introduced by putting special emphasis on the robustness of the approach. The robust fit is achieved by not taking into account a proportion α of the “most outlying” observations, allowing the procedure to trim them off. The most outlying observations are self-determined by the data. Procrustes analysis techniques and a particular type ...

In this paper, we show how to perform point-set alignment by applying multidimensional scaling to the interpoint distance matrix. The idea is that alignment can be effected by transforming different point-sets into a common embedding space, and correspondences located on a nearest-neighbour basis. The method offers the advantage over conventional Procrustes analysis that it extends the range of...

Typically, graphs generated via skeletonization of shape images are small and present low structural constraints. This fact constitutes a source of ambiguities for structural matching methods. Hybrid Genetic Algorithms have been effectively used for graph matching. This paper presents a new method which combines Hybrid Genetic Search with an enhanced model for graph matching. This enhanced mode...