Abstract

Automatically finding correspondences between object features in images is of main interest for several applications, as object detection and tracking, identification, registration, and many derived tasks. In this paper, we address feature correspondence within the general framework of graph matching optimization and with the principal aim to contribute. We proposed two optimized algorithms: first-order and second-order for graph matching. On the one hand, a first-order normalized cross-correlation (NCC) based graph matching algorithm using entropy and response through Marr wavelets within the scale-interaction method is proposed. First, we proposed a new automatic feature detection processing by using Marr wavelets within the scale-interaction method. Second, feature extraction is executed under the mesh division strategy and entropy algorithm, accompanied by the assessment of the distribution criterion. Image matching is achieved by the nearest neighbor search with normalized cross-correlation similarity measurement to perform coarse matching on feature points set. As to the matching points filtering part, the Random Sample Consensus Algorithm (RANSAC) removes outliers correspondences. One the other hand, a second-order NCC based graph matching algorithm is presented. This algorithm is an integer quadratic programming (IQP) graph matching problem, which is implemented in Matlab. It allows developing and comparing many algorithms based on a common evaluation platform, sharing input data, and a customizable affinity matrix and matching list of candidate solution pairs as input data. Experimental results demonstrate the improvements of these algorithms concerning matching recall and accuracy compared with other algorithms.

Highlights

  • Computer vision is an important research direction in current computer science since it occupies a pivotal position in human perception simulation

  • We study different declinations of feature correspondence problems by the use of the Matlab platform, in order to reuse and provide state-of-the-art solution methods, as well as experimental protocols and input data necessary with evaluation and comparison tools against existing sequential algorithms, most of the time developed in Matlab framework

  • In order to vary the feature set size while preserving a reasonable recall rate in graph matching, we have proposed a new combination of filters with an entropy-response based selection method

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Summary

Introduction

Computer vision is an important research direction in current computer science since it occupies a pivotal position in human perception simulation. A sparse feature point method based on entropy selection is proposed as a new filtering step. Filtering ( known as convolution) is a very popular operation in the field of image processing, which can be applied to image encryption by changing pixel values [14] This step combines the local entropy evaluation with the brightness deviation response as a new process for feature selection. The experiments were performed on standard image processing benchmarks They showed how to increase the size of the feature set and matching accuracy with saving computation time. For the first-order graph matching, we have proposed a new combination of feature points detection algorithms among Laplace filter, Marr wavelets, and the entropy-response based selection method.

Motivations of Graph Matching
Taxonomy of Graph Matching
General Formulation of Graph Matching Problem
First-Order NCC Based GM
Image Pre-Processing
Marr Wavelets within Scale-Interaction
Entropy and Response
Entropy Algorithm
Response Algorithm
Distribution Criterion
Definition of First-Order GM Problem Based on NCC
Outlier Elimination
Parameters of the Proposed Algorithm
Second-Order NCC Based GM
First-Order GM Experiment
Feature Points Extraction
Feature Points Matching
Methods
Second-Order GM Experiment
Presentation
CMU House Image Matching
Real Image Matching
Conclusions
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