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A Dynamic Pen-Based Interface for Writing and Editing Complex Mathematical Expressions With Math Boxes

A Dynamic Pen-Based Interface for Writing and Editing Complex Mathematical Expressions With Math... A Dynamic Pen-Based Interface for Writing and Editing Complex Mathematical Expressions With Math Boxes ´ EUGENE M. TARANTA II and ANDRES N. VARGAS, University of Central Florida SPENCER P. COMPTON, Bishop Moore Catholic High School JOSEPH J. LAVIOLA JR., University of Central Florida Math boxes is a recently introduced pen-based user interface for simplifying the task of hand writing difficult mathematical expressions. Visible bounding boxes around subexpressions are automatically generated as the system detects relevant spatial relationships between symbols including superscripts, subscripts, and fractions. Subexpressions contained in a math box can then be extended by adding new terms directly into its given bounds. When new characters are accepted, box boundaries are dynamically resized and neighboring terms are translated to make room for the larger box. Feedback on structural recognition is given via the boxes themselves. In this work, we extend the math boxes interface to include support for subexpression modifications via a new set of pen-based interactions. Specifically, techniques to expand and rearrange terms in a given expression are introduced. To evaluate the usefulness of our proposed methods, we first conducted a user study in which participants wrote a variety of equations ranging in complexity from a simple http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ACM Transactions on Interactive Intelligent Systems (TiiS) Association for Computing Machinery

A Dynamic Pen-Based Interface for Writing and Editing Complex Mathematical Expressions With Math Boxes

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Publisher
Association for Computing Machinery
Copyright
Copyright © 2016 by ACM Inc.
ISSN
2160-6455
DOI
10.1145/2946795
Publisher site
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Abstract

A Dynamic Pen-Based Interface for Writing and Editing Complex Mathematical Expressions With Math Boxes ´ EUGENE M. TARANTA II and ANDRES N. VARGAS, University of Central Florida SPENCER P. COMPTON, Bishop Moore Catholic High School JOSEPH J. LAVIOLA JR., University of Central Florida Math boxes is a recently introduced pen-based user interface for simplifying the task of hand writing difficult mathematical expressions. Visible bounding boxes around subexpressions are automatically generated as the system detects relevant spatial relationships between symbols including superscripts, subscripts, and fractions. Subexpressions contained in a math box can then be extended by adding new terms directly into its given bounds. When new characters are accepted, box boundaries are dynamically resized and neighboring terms are translated to make room for the larger box. Feedback on structural recognition is given via the boxes themselves. In this work, we extend the math boxes interface to include support for subexpression modifications via a new set of pen-based interactions. Specifically, techniques to expand and rearrange terms in a given expression are introduced. To evaluate the usefulness of our proposed methods, we first conducted a user study in which participants wrote a variety of equations ranging in complexity from a simple

Journal

ACM Transactions on Interactive Intelligent Systems (TiiS) – Association for Computing Machinery

Published: Aug 3, 2016

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