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Generation of Multispectral Filter Array. Lidan Miao 01/22/04. Motivation. Color image (Color filter array). Sensing the wavelengths in the visible spectrum (400~700nm). Multispectral image (Multispectral filter array).
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Generation of Multispectral Filter Array Lidan Miao 01/22/04
Motivation • Color image (Color filter array). Sensing the wavelengths in the visible spectrum (400~700nm). • Multispectral image (Multispectral filter array). CCD sensors can detect light (NIR:700~1100nm)outside the sensitivity of HVS. Additional information can be obtained from these spectral bands.
Objective • CFA and MSFA Each sensor sense one spectral band and the unmeasured spectral bands can be interpolated. • Rectangular array and Hexagonal array The hexagonal grid can model the human visual system more precisely.
Design criteria of CFA • Uniform distribution • Equal sample frequency. • Color consistency. • Spectral sensitivity. Bayer color filter array
Breakup algorithm • Checkboard pattern
Breakup algorithm • Binary tree and MSFA
Characteristics • Symmetrical and uniform distribution. • Each band has the same number of neighbors of certain spectrum and the relative position of different spectra is fixed. • The percentage of each spectrum is determined by the separation process. (a)Equal Probability (b)Unequal Probability
Method 1 • Directly apply the algorithm in the rectangle array. “Checkboard” pattern
Method 2 • Apply a new coordinate system. (a) Coordinate system
Method 2 “Checkboard” pattern
Method 3 • Based on the distance between the adjacent pixels. • Each pixel has 4 immediate neighbors (distance =1) and 4 secondary neighbors (distance = sqrt(2)). • For each pixel, half of its neighbors are chosen. • As we increase the distance, the percentage decreases.
Limitation • Cannot generate all the filter arrays with equal probability. Rectangular array: 3, 5, 7 bands… Hexagonal array (method 3): 4, 5, 6, 7 bands… • The probability is restrict to 1/2, 1/4, 1/8,…… or 1/3, 2/3, 2/9, 1/9……
Comparison • (a) has all the characteristics in the rectangle domain. • (b) is sensitive to cross talk. • (c) has the property of equal distance. (c) Method 3 (a) Method 1 (b) Method 2