학술논문

Recognition of Simple Handwritten Polynomials Using Segmentation with Fractional Calculus and Convolutional Neural Networks
Document Type
Conference
Source
2019 8th Brazilian Conference on Intelligent Systems (BRACIS) BRACIS Intelligent Systems (BRACIS), 2019 8th Brazilian Conference on. :245-250 Oct, 2019
Subject
Computing and Processing
Image segmentation
Handwriting recognition
Convolutional neural networks
Training
Character recognition
Neurons
Mathematical Expression Recognition
Convolutional Neural Network
Fractional Calculus
Image Segmentation
Language
ISSN
2643-6264
Abstract
This work introduces a method for recognizing handwritten polynomials using Convolutional Neural Networks (CNN) and Fractional Order Darwinian Particle Swarm Optimization (FODPSO). Segmentation of the input image is done with the FODPSO technique, which uses fractional derivative to control the rate of particle convergence. After segmentation, three CNN are used in the character recognition step: the first one classifies the individual symbols as numeric or non-numeric. The second network recognizes the numbers, while the third CNN recognize the non-numeric symbols. A heuristic procedure is used to build the polynomial, whose graph is finally plotted. A total of 264780 images containing symbols and numbers were used for training, validating, and testing the CNN, with an accuracy of approximately 99%.