Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002. Home/Search Document Not in Database Summary Related Articles Check |
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Morse-Smale Complexes for Piecewise Linear 3-Manifolds - Edelsbrunner, Harer.. (2003) (1 citation) (Correct)
....algorithm for constructing such complexes for piecewise linear data. Keywords. Computational geometry and topology, Morse theory, densities, triangulations, combinatorial algorithms. 1 Introduction Morse functions are used by differential topologists to study the topology of manifolds [12, 13]. We use their results but pursue a different goal, namely that of studying topological features in natural phenomena. Motivation. A three dimensional Morse function is a generic smooth map from a 3 manifold to the real line. There is an abundance of natural phenomena that can be modeled by such ....
....topology. Sections 4 to 7 describe the algorithm for constructing a quasi Morse Smale complex for three dimensional piecewise linear density data. Section 8 concludes the paper. 2 Smooth 3 Manifolds In this section, we introduce the Morse theoretic concepts used in this paper. We refer to [12, 13] for further background. Morse functions. Let be a smooth compact 3 manifold without boundary. Examples are the 3 sphere, which consists of all points at unit distance from the origin in , and the 3 torus, which can be obtained by identifying opposite square faces of a three dimensional ....
Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002. 10
Morse-Smale Complexes for Piecewise Linear 3-Manifolds - Herbert Edelsbrunner John (2003) (1 citation) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Volumetric Data Analysis using Morse-Smale Complexes - Vijay Natarajan Valerio (2005) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Local and Global Comparison of Continuous Functions - Herbert Edelsbrunner John (2004) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
A Topological Approach to Simplification of - Three-Dimensional Scalar.. (2006) (Correct)
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Y. Matsumoto, An Introduction to Morse Theory. Amer. Math. Soc., 2002, translated from Japanese by K. Hudson and M. Saito.
Topology-based Simplification for Feature Extraction from.. - Attila Gyulassy Vijay (2005) (Correct)
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MATSUMOTO, Y. An Introduction to Morse Theory. Amer. Math. Soc., 2002. Translated from Japanese by K. Hudson and M. Saito.
Topology-based Simplification for Feature Extraction from.. - Attila Gyulassy Vijay (2005) (Correct)
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MATSUMOTO, Y. An Introduction to Morse Theory. Amer. Math. Soc., 2002. Translated from Japanese by K. Hudson and M. Saito.
Segmenting Molecular Surfaces - Vijay Natarajan Yusu (2006) (Correct)
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Y. Matsumoto, An Introduction to Morse Theory, Amer. Math. Soc., 2002, translated from Japanese by K. Hudson and M. Saito.
Local and Global Comparison of Continuous Functions - Edelsbrunner, Harer.. (2004) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Volumetric Data Analysis using Morse-Smale Complexes - Vijay Natarajan Valerio (2005) (Correct)
No context found.
Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Morse-Smale Complexes for Piecewise Linear 3-Manifolds - Edelsbrunner, Harer.. (2003) (1 citation) (Correct)
No context found.
Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Topology-based Simplification for Feature Extraction.. - Category Research Figure (2005) (Correct)
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MATSUMOTO, Y. An Introduction to Morse Theory. Amer. Math. Soc., 2002. Translated from Japanese by K. Hudson and M. Saito.
Morse-Smale Complexes for Piecewise Linear 3-Manifolds - John (2003) (1 citation) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
Time-varying Reeb Graphs for Continuous Space-Time Data - Edelsbrunner, Harer.. (2004) (Correct)
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Y. MATSUMOTO. An Introduction to Morse Theory. Translated from Japanese by K. Hudson and M. Saito, Amer. Math. Soc., 2002.
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