We investigated seven distance measures in a set of observations of physicochemical variables of mango (Mangifera indica) submitted to multivariate analyses (distance, projection and grouping). To estimate the distance measurements, five mango progeny (total of 25 genotypes) were analyzed, using six fruit physicochemical descriptors (fruit weight, equatorial diameter, longitudinal diamete...

In order to define a metric on jet space, linear scale space is considered from a statistical standpoint. Given a scale σ, the scale space solution can be interpreted as maximizing a certain Gaussian posterior probability, related to a particular Tikhonov regularization. The Gaussian prior, which governs this solution, in fact induces a Mahalanobis distance on the space of functions. This metri...

Three-dimensional atlases of subcortical brain structures are valuable tools to reference anatomy in neuroscience and neurology. In the special case of deep brain stimulation (DBS), the two most prominent targets are the subthalamic nucleus (STN) and the internal part of the pallidum (GPi). With the help of atlases that define their position and shape within a well-defined stereotactic space, t...

The paper mainly studies static 2D face images through reconstructing 3D model by a specific algorithm. First, the paper need collect geometric features, and obtain the threedimensional space of false geodesic distance. Those are to emotional changes. Second, remove the relative feature extraction. Finally, compares the test sample and the training samples about the Mahalanobis distance. The ex...

The space group for the entry under the reference codes FEBMUU and FEBMUU01 in the Cambridge Structural Database (1992) should be further corrected to space group C2/c rather than P1 (FEBMUU) or C2 (FEBMUU01).

We define a generalized distance function on an unoriented 3D point set and describe how it may be used to reconstruct a surface approximating these points. This distance function is shown to be a Mahalanobis distance in a higher-dimensional embedding space of the points, and the resulting reconstruction algorithm a natural extension of the classical Radial Basis Function (RBF) approach. Experi...

In this paper, we propose a method to detect a wet area on the road from a single camera. We create a virtul reflection image from the input image and the 3D shape information. We do not propose about the 3D reconstruction method. To classify the areas, we compute the time space image on each area and classify them based on the mahalanobis distance from the training data.

The dimensionality curse has greatly aaected the scalability of high-dimensional indexes. A well known approach to improving the indexing performance is dimensionality reduction before indexing the data in the reduced-dimensionality space. However, the reduction may cause loss of distance information when the data set is not globally correlated. To reduce loss of information and degradation of ...