Averaged Template Matching Equations
نویسندگان
چکیده
By exploiting an analogy with averaging procedures in fluid dynamics, we present a set of averaged template matching equations. These equations are analogs of the exact template matching equations that retain all the geometric properties associated with the diffeomorphism group, and which are expected to average out small scale features and so should, as in hydrodynamics, be more computationally efficient for resolving the larger scale features. From a geometric point of view, the new equations may be viewed as coming from a change in norm that is used to measure the distance between images. The results in this paper represent first steps in a longer term program: what is here is only for binary images and an algorithm for numerical computation is not yet operational. Some suggestions for further steps to develop the results given in this paper are suggested.
منابع مشابه
Sergiy Vasylkevych Research Statement 1 Singular Solutions of Epdiff Equations 1.1 Epdiff Equations
Since completion of the Ph.D. program at California Institute of Technology, my research has been focused on application of methods of differential geometry and global analysis to the study of nonlinear partial differential equations. Specifically, it concerns • Euler and Euler-α equations of ideal fluid flow (both fixed and moving boundary case), • Camassa-Holm equation, • EPDiff equations (al...
متن کاملMomentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation
We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the Euler-Poincaré equations associated with the diffeomorphism group (of Rn or an n-dimensional manifold M). Our main focus will be on the case of quadratic Lagrangians; that is, on geodesic motion on the diffeomorphism group with respect to the right invariant Sobolev H metric. The correspondi...
متن کاملEvaluation of Similarity Measures for Template Matching
Image matching is a critical process in various photogrammetry, computer vision and remote sensing applications such as image registration, 3D model reconstruction, change detection, image fusion, pattern recognition, autonomous navigation, and digital elevation model (DEM) generation and orientation. The primary goal of the image matching process is to establish the correspondence between two ...
متن کاملA New RSTB Invariant Image Template Matching Based on Log-Spectrum and Modified ICA
Template matching is a widely used technique in many of image processing and machine vision applications. In this paper we propose a new as well as a fast and reliable template matching algorithm which is invariant to Rotation, Scale, Translation and Brightness (RSTB) changes. For this purpose, we adopt the idea of ring projection transform (RPT) of image. In the proposed algorithm, two novel s...
متن کاملAbstract : Face Recognition using Fuzzy Measure Method
This study proposes a mathematical and morphological erosion calculation through defuzzification of the fuzzy set measure corresponding to the fuzzy integral by reducing detecting areas required for matching through areal labeling and filtering and applying the template matching uses edges to the detecting areas. It defines a λ-fuzzy set measure in application and all subsets of defuzzification...
متن کامل