Timeline for Sampling a two-dimensional Gaussian distribution at points along an integer lattice
Current License: CC BY-SA 3.0
20 events
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| Nov 29, 2013 at 21:59 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 21:52 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 16:21 | comment | added | Richard | @LiviuNicolaescu I will also think about how to make the question formulation clearer - thanks for bearing with me. | |
| Nov 29, 2013 at 16:12 | comment | added | Liviu Nicolaescu | It's better, not entirely clear, and I have to think about this. | |
| Nov 29, 2013 at 15:52 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 15:48 | comment | added | Richard | @LiviuNicolaescu I have hopefully clarified $C$ a bit better now, and I provide an explicit example for calculating $C^*$ on a $3 \times 3$ matrix (is there a better technical term for what I'm doing?). I should have known better about using the term "elliptic" function. | |
| Nov 29, 2013 at 15:46 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 15:32 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 15:25 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 15:16 | comment | added | Liviu Nicolaescu | It would help if in your question you describe precisely the nature of $C$, $C^*$. Also the statement "Imagine that this means we overlay an integer lattice (of edge length L) on top of the Gaussian function, and assign each vertex a value corresponding to the mean value of the function in the area it overlays." is confusing because it seems you are talking about two functions, but you have introduced only a Gaussian function. Also, you need to know that in math, the term elliptic function is reserved to very precise, and quite complicated functions. | |
| Nov 29, 2013 at 15:03 | comment | added | Richard | @LiviuNicolaescu The example was meant as a simplified one-dimensional illustration of what I meant by "pixel value weighted average". In the actual problem, one needs to take into consideration both $x$ and $y$-components. Let me clarify the example. | |
| Nov 29, 2013 at 14:35 | comment | added | Liviu Nicolaescu | I am still a bit confused. You define $C$ the centroid of this elliptical function. To me the centroid is a point, thus defined by a pair of real numbers $(x_0,y_0)$. According to your update $C^*$ is a number. What is then the meaning of $C-C^*$? | |
| Nov 29, 2013 at 14:17 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 14:03 | comment | added | Richard | @LiviuNicolaescu Sorry about that, I just meant to say that it should be an average weighted by the values corresponding to the pixels. | |
| Nov 29, 2013 at 14:02 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 13:47 | comment | added | Liviu Nicolaescu | Can you define the intensity centroid? | |
| Nov 29, 2013 at 13:47 | review | Close votes | |||
| Nov 30, 2013 at 12:39 | |||||
| Nov 29, 2013 at 13:26 | history | edited | Richard | CC BY-SA 3.0 |
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| Nov 29, 2013 at 13:12 | review | First posts | |||
| Nov 29, 2013 at 13:31 | |||||
| Nov 29, 2013 at 12:56 | history | asked | Richard | CC BY-SA 3.0 |