We discuss applications of statistical methods on the aforementioned manifolds for face recognition, shape analysis, activity recognition, age estimation, and gesture recognition. In each case we motivate the need for manifold-based methods and discuss techniques from differential geometry that are needed to design appropriate statistical inference algorithms for these applications. These discussions contain some illustrative examples and references to the literature for additional reading.
Statistical methods on special manifolds for image and video understanding. N2 - In this chapter we describe some recent advances in image and video understanding applications based on statistical inference methods over nonlinear manifolds. AB - In this chapter we describe some recent advances in image and video understanding applications based on statistical inference methods over nonlinear manifolds. Abstract In this chapter we describe some recent advances in image and video understanding applications based on statistical inference methods over nonlinear manifolds.
Sasakian Statistical Manifolds with Semi-Symmetric Metric Connection
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Gesture recognition. Differential Geometry. Face recognition.
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