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

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Presentation on theme: "GK-12 Sensors! Matrices and Digital Pictures Part II - Matrix operations with digital pictures."— Presentation transcript:

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

2 GK-12 Sensors! General Electric Original Digital X- Ray 320 x 224 256 shades of gray

3 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

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

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

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

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

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

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

10 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.

11 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

12 GK-12 Sensors! Original (X)Edge Sharpening


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