|
|
Mathematical Search Engine
Mišutka, Jozef ; Galamboš, Leo (advisor) ; Dvorský, Jiří (referee) ; Kohlhase, Michael (referee)
Mathematics has been used to describe phenomena and problems in many re- search fields for centuries. The basic elements used in the description are formu- lae which express information symbolically. However, searching for mathematical knowledge in digital form using available tools is still cumbersome. We address this issue by presenting the mathematical search engine EgoMath, based on a full text searching, which can search for mathematical formulae and text. We perform an eval- uation over a large collection of documents showing that our solution is usable. Our approach can be used with huge document collections by applying one specialised technique. In order to provide a valuable evaluation of the quality, we built an al- ternative mathematical search engine using the feature extraction technique proposed by Ma et al. We propose important improvements to this solution achieving interest- ing results. We perform the first ever cross-evaluation of mathematical search engines based on different algorithms. A comprehensive survey of existing techniques avail- able, presented in this thesis, completes the picture of mathematical searching.
|
|
|
Online Handwritten Mathematical Formulae Recognition
Stria, Jan ; Průša, Daniel (advisor)
In this thesis, we deal with online recognition of handwritten mathematical formulas. We provide an introduction to the field of study, discuss the current state of the art and survey several existing implementations in detail. Then we present our own solution comprehending two steps. In the first step, individual symbols are detected utilizing temporal and spatial relations of the handwritten strokes. Then we recognize the symbols by combining results provided by an existing third party library with our rule based methods and template symbols matching. In the second step, a structure of the formula is examined. We introduce a novel approach incorporating a grammar based description of the formula with a statistical evaluation of the subexpressions. We also discuss related problems comprehending implementation of the recognizer as a web application and acquisition of the sample data.
|
|
|
Online Handwritten Mathematical Formulae Recognition
Stria, Jan ; Průša, Daniel (advisor)
In this thesis, we deal with online recognition of handwritten mathematical formulas. We provide an introduction to the field of study, discuss the current state of the art and survey several existing implementations in detail. Then we present our own solution comprehending two steps. In the first step, individual symbols are detected utilizing temporal and spatial relations of the handwritten strokes. Then we recognize the symbols by combining results provided by an existing third party library with our rule based methods and template symbols matching. In the second step, a structure of the formula is examined. We introduce a novel approach incorporating a grammar based description of the formula with a statistical evaluation of the subexpressions. We also discuss related problems comprehending implementation of the recognizer as a web application and acquisition of the sample data.
|
|
|
Mathematical Search Engine
Mišutka, Jozef ; Galamboš, Leo (advisor) ; Dvorský, Jiří (referee) ; Kohlhase, Michael (referee)
Mathematics has been used to describe phenomena and problems in many re- search fields for centuries. The basic elements used in the description are formu- lae which express information symbolically. However, searching for mathematical knowledge in digital form using available tools is still cumbersome. We address this issue by presenting the mathematical search engine EgoMath, based on a full text searching, which can search for mathematical formulae and text. We perform an eval- uation over a large collection of documents showing that our solution is usable. Our approach can be used with huge document collections by applying one specialised technique. In order to provide a valuable evaluation of the quality, we built an al- ternative mathematical search engine using the feature extraction technique proposed by Ma et al. We propose important improvements to this solution achieving interest- ing results. We perform the first ever cross-evaluation of mathematical search engines based on different algorithms. A comprehensive survey of existing techniques avail- able, presented in this thesis, completes the picture of mathematical searching.
|
guest ::
