GK-12 Sensors! Matrices and Digital Pictures Part II - Matrix operations with digital pictures.

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Presentation transcript:

GK-12 Sensors! Matrices and Digital Pictures Part II - Matrix operations with digital pictures.

GK-12 Sensors! General Electric Original Digital X- Ray 320 x shades of gray

GK-12 Sensors! Contrast: Scalar Multiplication Matrix is multiplied by a scalar to shift color Scalar is defined by a set of equations. The range of the element values must remain the same X is the matrix of the original picture Y is the matrix of the new picture Y is a function of X

GK-12 Sensors! Original (X)Negative (Y) Negative

GK-12 Sensors! Original (X)Square (Y) Square

GK-12 Sensors! Original (X)Square root (Y) Square root

GK-12 Sensors! Original (X)Haversine (Y) Haversine

GK-12 Sensors! Histogram - A plot of the number pixels for each color value.

GK-12 Sensors! Original (X)Slope (Y) Slope

GK-12 Sensors! Edge Sharpening: Convolution Convolution is an operation between two same size matrices that creates a scalar. The elements at the same location in each matrix are multiplied This product is summed with the product of the other elements.

GK-12 Sensors! A new matrix of the same size needs to be created Start with the matrix of the original picture, X Add a row or column of zeros on each edge Choose a 3x3 matrix from X new convolve with H Create a new matrix, Y, by convolving H with every 3x3 matrix

GK-12 Sensors! Original (X)Edge Sharpening