Stability and computation of medial axes: a state-of-the-art report

D. Attali, J. Boissonnat, H. Edelsbrunner, in:, Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Springer, 2009, pp. 109–125.

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Mathematics and Visualization
Abstract
The medial axis of a geometric shape captures its connectivity. In spite of its inherent instability, it has found applications in a number of areas that deal with shapes. In this survey paper, we focus on results that shed light on this instability and use the new insights to generate simplified and stable modifications of the medial axis.
Publishing Year
Date Published
2009-06-22
Book Title
Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration
Page
109 - 125
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Attali D, Boissonnat J, Edelsbrunner H. Stability and computation of medial axes: a state-of-the-art report. In: Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. Springer; 2009:109-125. doi:10.1007/b106657_6
Attali, D., Boissonnat, J., & Edelsbrunner, H. (2009). Stability and computation of medial axes: a state-of-the-art report. In Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration (pp. 109–125). Springer. https://doi.org/10.1007/b106657_6
Attali, Dominique, Jean Boissonnat, and Herbert Edelsbrunner. “Stability and Computation of Medial Axes: A State-of-the-Art Report.” In Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, 109–25. Springer, 2009. https://doi.org/10.1007/b106657_6.
D. Attali, J. Boissonnat, and H. Edelsbrunner, “Stability and computation of medial axes: a state-of-the-art report,” in Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Springer, 2009, pp. 109–125.
Attali D, Boissonnat J, Edelsbrunner H. 2009. Stability and computation of medial axes: a state-of-the-art report. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. , Mathematics and Visualization, 109–125.
Attali, Dominique, et al. “Stability and Computation of Medial Axes: A State-of-the-Art Report.” Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Springer, 2009, pp. 109–25, doi:10.1007/b106657_6.

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