Topology-based Simplification for Feature Extraction from 3D Scalar Fields

Citations Over TimeTop 1% of 2006 papers

Abstract

This paper describes a topological approach for simplifying continuous functions defined on volumetric domains. We present a combinatorial algorithm that simplifies the Morse-Smale complex by repeated application of two atomic operations that removes pairs of critical points. The Morse-Smale complex is a topological data structure that provides a compact representation of gradient flows between critical points of a function. Critical points paired by the Morse-Smale complex identify topological features and their importance. The simplification procedure leaves important critical points untouched, and is therefore useful for extracting desirable features. We also present a visualization of the simplified topology.

Related Papers

• → Feature Extraction Using Wavelet-PCA and Neural Network for Application of Object Classification & Face Recognition(2010)29 cited
• → Gradient feature extraction for classification-based face detection(2003)44 cited
• → ICA and PCA integrated feature extraction for classification(2016)32 cited
• → FACE RECOGNITION BASED ON GPPBTF AND LBP WITH CLASSIFIER FUSION(2012)
• Image feature extraction from wavelet scalogram based on kernel principle component analysis(2009)