PCA: Hand modelling Nikzad B.Rizvandi.

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Presentation transcript:

PCA: Hand modelling Nikzad B.Rizvandi

Hand tracking Looking for a tracking system: Face tracking Lips tracking Pose tracking

Dataset http://www2.imm.dtu.dk/~aam/datasets/datasets.html

Pre-processing Represent images with landmarks Images have: Different sizes Different rotations Different locations

Pre-processing: manual labeling Placing landmarks Manually placing N1 landmarks In the same location Placing intermediate points Automatic edge detection of edges between landmarks Points in total: N X=(x0, y0, x1, y1,…, xN-1, yN-1)T

Pre-processing Represent images with landmarks Alignment since images have: Different sizes Different rotations Different locations

Pre-processing: Alignment (1/3) Remove X-Y translation Move the Center of mass to coordinate origin Remove Scaling: Calculate L2-norm of the shape

Pre-processing: Alignment (2/3) Remove Rotation: Needs reference shape : Calculate Singular Value Decomposition(SVD) Rotation Matrix =

Pre-processing: Alignment (3/3) Align each shape to first shape by rotation, scaling, and translation Repeat Calculate the mean shape Normalize the orientation, scale, and origin of the current mean to suitable defaults Realign every shape with the current mean Until the mean shape does not change in two iterations

PCA to reduce dimension (1/4) The 2N elements are highly correlated, so we can represent them much more compactly Principal Component Analysis (PCA) Reduces the number of parameters from 2N to M, where M<<2N

PCA to reduce dimension (2/4)

PCA to reduce dimension (3/4) The shape of the model is given by: is the mean shape, most important eigenvectors, contains the shape parameters

PCA to reduce dimension (4/4) 40 shapes in database 56 landmarks (112 parameters) 95% of variation by 6 new parameters 112 parameters  6 new parameters

More information Dataset: http://www2.imm.dtu.dk/~aam/datasets/datasets.html Paper: Nikzad B.Rizvandi, A.Pizurica, W.Philips, “Deformable Shape Description Using Active Shape Model (ASM)”, 18th ProRISC Workshop on Circuits, Systems and Signal Processing (ProRISC), 2007, Netherlands