ARTICLE | doi:10.20944/preprints201705.0027.v2
Subject: Social Sciences, Geography Keywords: remote sensing; image registration; multiple image features; different viewpoint; non-rigid distortion
Online: 13 June 2017 (09:52:10 CEST)
Remote sensing image registration plays an important role in military and civilian fields, such as natural disaster damage assessment, military damage assessment and ground targets identification, etc. However, due to the ground relief variations and imaging viewpoint changes, non-rigid geometric distortion occurs between remote sensing images with different viewpoint, which further increases the difficulty of remote sensing image registration. To address the problem, we propose a multi-viewpoint remote sensing image registration method which contains the following contributions. (i) A multiple features based finite mixture model is constructed for dealing with different types of image features. (ii) Three features are combined and substituted into the mixture model to form a feature complementation, i.e., the Euclidean distance and shape context are used to measure the similarity of geometric structure, and the SIFT (scale-invariant feature transform) distance which is endowed with the intensity information is used to measure the scale space extrema. (iii) To prevent the ill-posed problem, a geometric constraint term is introduced into the L2E-based energy function for better behaving the non-rigid transformation. We evaluated the performances of the proposed method by three series of remote sensing images obtained from the unmanned aerial vehicle (UAV) and Google Earth, and compared with five state-of-the-art methods where our method shows the best alignments in most cases.
ARTICLE | doi:10.20944/preprints201610.0043.v1
Subject: Mathematics & Computer Science, Algebra & Number Theory Keywords: viewpoint; ordinary differential equation; solution; derivative polynomial; identity; Stirling numbers; Bernoulli number; Bernoulli polynomial; Frobenius-Euler polynomial
Online: 12 October 2016 (11:47:48 CEST)
In the paper, the authors view some ordinary differential equations and their solutions from the angle of (the generalized) derivative polynomials and simplify some known identities for the Bernoulli numbers and polynomials, the Frobenius-Euler polynomials, the Euler numbers and polynomials, in terms of the Stirling numbers of the first and second kinds.