parameter estimation using lsqnonlin() with unknown target values

2015 1 5
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更新时间：2015 1 5
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I am going to do a gamma correction on some images. So according to these equations, I have to find unknown parameters using “ lsqnonlin ” function.
i estimated A, k with " lsqnonlin function" in eq(2).
now, I have to estimate gamma value from equation (3). but I don’t know how to use " lsqnonlin function" to solve my problem(s) with unknown target value. because i have (RGB)_out' and i initial guess of gamma values. but i don't have target values.
Any help will be appreciated. Tanx:)

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