Efficient computation of Morse-Smale complexes for three-dimensional scalar functions
A Gyulassy, V Natarajan, V Pascucci… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
IEEE Transactions on Visualization and Computer Graphics, 2007•ieeexplore.ieee.org
The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar
function, and critical points paired by the complex identify topological features and their
importance. We present an algorithm that constructs the Morse-Smale complex in a series of
sweeps through the data, identifying various components of the complex in a consistent
manner. All components of the complex, both geometric and topological, are computed,
providing a complete decomposition of the domain. Efficiency is maintained by representing …
function, and critical points paired by the complex identify topological features and their
importance. We present an algorithm that constructs the Morse-Smale complex in a series of
sweeps through the data, identifying various components of the complex in a consistent
manner. All components of the complex, both geometric and topological, are computed,
providing a complete decomposition of the domain. Efficiency is maintained by representing …
The Morse-Smale complex is an efficient representation of the gradient behavior of a scalar function, and critical points paired by the complex identify topological features and their importance. We present an algorithm that constructs the Morse-Smale complex in a series of sweeps through the data, identifying various components of the complex in a consistent manner. All components of the complex, both geometric and topological, are computed, providing a complete decomposition of the domain. Efficiency is maintained by representing the geometry of the complex in terms of point sets.
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