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Issue No.01 - January/February (2007 vol.27)
pp: 38-48
Joseph J. LaViola Jr. , Brown University
ABSTRACT
MathPad2 is a Tablet PC-based application that lets users create and explore mathematical sketches, graph functions, evaluate expressions, and solve equations through an easy-to-use interface. The author describes the work done with MathPad2 thus far and presents recent advances toward realizing mathematical sketching's full potential to aid in mathematical problem solving and visualization.
INDEX TERMS
mathematical sketching, gestural interfaces, associations, drawing rectification, open-form solutions
CITATION
Joseph J. LaViola Jr., "Advances in Mathematical Sketching: Moving Toward the Paradigm's Full Potential", IEEE Computer Graphics and Applications, vol.27, no. 1, pp. 38-48, January/February 2007, doi:10.1109/MCG.2007.2
REFERENCES
1. J. LaViola and R. Zeleznik, "MathPad2 : A System for the Creation and Exploration of Mathematical Sketches," ACM Trans. Graphics (Proc. Siggraph 2004), vol. 23, no. 3, 2004, pp. 432–440.
2. J. LaViola, "Mathematical Sketching: A New Approach to Creating and Exploring Dynamic Illustrations," doctoral dissertation, Dept. Computer Science, Brown Univ., 2005.
3. R. Zeleznik and T. Miller, "Fluid Inking: Augmenting the Medium of Free-Form Inking with Gestures," Proc. Graphics Interface, Canadian Human-Computer Comm. Soc., 2006, pp. 155–162.
4. X. Li and D.-Y. Yeung, "On-Line Handwritten Alphanumeric Character Recognition Using Dominant Points in Strokes," Pattern Recognition, vol. 30, no. 1, pp. 31–44.
5. D. Rubine, "Specifying Gestures by Example," Proc. Siggraph, ACM Press, 1991, pp. 329–337.
6. S. Smithies, K. Novins, and J. Arvo, "A Handwriting-Based Equation Editor," Proc. Graphics Interface, Morgan Kaufmann, 1999, pp. 84–91.
7. R. Schapire, "A Brief Introduction to Boosting," Proc. 16th Int'l Joint Conf. Artificial Intelligence, Morgan Kaufmann, 1999, pp. 1401–1406.
8. K.-F. Chan and D.-Y. Yeung, "An Efficient Syntactic Approach to Structural Analysis of On-Line Handwritten Mathematical Expressions," Pattern Recognition, vol. 33, no. 3, 2000, pp. 375–384.
9. H.-J. Lee and J.-S. Wang, "Design of a Mathematical Expression Recognition System," Pattern Recognition Letters, no. 18, 1997, pp. 289–298.
10. J. LaViola, "An Initial Evaluation of a Pen-Based Tool for Creating Dynamic Mathematical Illustrations," Eurographics Sketch-Based Interfaces and Modeling, 2006, pp. 157–164.
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