Representing Animations by Principal Components

By Marc Alexa, Wolfgang Müller. Computer graphics forum (Print), 2000

345 citations recorded by the source corpus.

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Low-dimensional models and performance scaling of a highly deformable fish pectoral fin (2009, neutral): “…hydrodynamics and propulsive performance of low-dimensional models based on POD modes, some key results for the Mode-All case are also included here, since comparison against this case is key to understanding the scaling of the thrust performance as the dimensionality of the models is increased.”
Coding Algorithms for 3DTV—A Survey (2007, methodology): “One year later Alexa and Müller [90] proposed a compression approach based on principal component analysis (PCA).”
Real-time compression of point cloud streams (2012, background): “Similarly, [13] calculates principal components for decoupling animation and geometry information.”
Technologies for 3D mesh compression: A survey (2005, background): “Alexa and Müller [106] proposed another scheme that represents 3D animation sequences based on the principal component analysis (PCA).”
Recent Advances in Mesh Morphing (2002, methodology): “The positions wi are computed by solving ( 4 ).”