Families of kernels that are useful in a variety of early vision algorithms may be obtained by rotating and scaling in a continuum a `template' kernel. These multi-scale multi-orientation family may be approximated by linear interpolation of a discrete nite set of appropriatèbasis' kernels. A scheme for generating such a basis together with the appropriate interpolation weights is described. Un...

Empirical research in DEM accuracy assessment has observed that DEM errors are correlated with terrain morphology, sampling density, and interpolation method. However, theoretical reasons for these correlations have not been accounted for. This paper introduces approximation theory adapted from computational science as a new framework to assess the accuracy of DEMs interpolated from topographic...

This report details conditions under which the Functional Convolution Model described in Asencio et al. (2013) can be identified from Ordinary Least Squares estimates without either dimension reduction or smoothing penalties. We demonstrate that if the covariate functions are not spanned by the space of solutions to linear differential equations, the functional coefficients in the model are uni...

B-splines provide an accurate and efficient method for interpolating regularly spaced data. In this paper, I study the applicability of B-spline interpolation in the context of the inverse interpolation method for regularizing irregular data. Numerical tests show that, in comparison with lower-order linear interpolation, B-splines lead to a faster iterative conversion in under-determined proble...

The purpose of studying pancreatic b-cells in nonhuman species is to learn how to protect and regenerate the supply of residual endogenous b-cells in the face of the immunologic attack of type 1 diabetes, and the glucolipotoxic, inflammatory, endoplasmic reticulumand oxidative stress–inducing environment of type 2 diabetes. b-Cell replication was unimaginable 20 years ago, when many believed th...

Interpreting pixel values as averages over abutting squares mimics the image capture process. Average Matching (AM) exact area resampling involves the construction of a surface with averages given by the pixel values; the surface is then averaged over new pixel areas. AM resampling approximately preserves local averages (error bounds are given). Also, original images are recovered by box filter...

* Correspondence: lym1019@163. com Department of Mathematics, Shangrao Normal University, Shangrao 334001, China Full list of author information is available at the end of the article Abstract Consider the semiparametric regression model Yi = xi b + g (ti) + εi, i = 1, . . . , n, where the linear process errors εi = ∑∞ j=−∞ ajei−j with ∑∞ j=−∞ ∣∣aj∣∣ < ∞ , and {ei} are identically distributed a...

Variable selection via penalized estimation is appealing for dimension reduction. For penalized linear regression, Efron, et al. (2004) introduced the LARS algorithm. Recently, the coordinate descent (CD) algorithm was developed by Friedman, et al. (2007) for penalized linear regression and penalized logistic regression and was shown to gain computational superiority. This paper explores...

Our k-mer based PBM model (Figure 1a in main text) is motivated by the biophysics of TF binding to the probes in PBM experiments. Following Zhao et al. [1], we denote by Yi the experimentally measured intensity of the i-Th. probe on the PBM array. We denote by F (i) the (unobserved) binding probability of the TF to this probe. While these two quantities are related, due to experiential errors a...