如题
Projections
Write a program to generate projections along the x- and y-directions of an image. Output a vector of M numbers (projecting along the y-direction for θ = 0) and a vector of N numbers (projecting along the x-direction for θ = π/2). Be sure to use long integers or floating point numbers to avoid numeric overflow. Run your program on at least 3 images. You may use the Sample Images or other image set. Graph the projections. You can do this in MS Word or Excel or other program. Do not turn in a list of numbers! Back-Projections
The back-projection b(x,y) of a set of projections p(s,θ) is the image obtained by adding up, for each x and y, those values of p(s,θ) for which f(x,y) projected into (s,θ). Essentially, we put (that is, project!) the values of p(s,θ) back into the (x,y) they came from. (If you think of projection as a matrix operation, p = Af, then back-projection is just the matrix transpose, b = ATp. This is not the inverse. Usually.) In the case of projections along the x- and y- axes, the back projection is particularly simple. Because f(x,y) projects along y into p(x,0) and along x into p(y,π/2), we have b(x,y) = p(x,0) + p(y,π/2). Implement this to back-project the projections from Part 1 above and show the results on your test images. You may have to divide by 2 to prevent numeric overflow. The back-projected images should look very blurry. 请问这里的projection和back projection 到底是什么意思 他要求我做什么变换 我应该怎么理解呢?
大侠们回答一下吧 谢谢!
Projections
Write a program to generate projections along the x- and y-directions of an image. Output a vector of M numbers (projecting along the y-direction for θ = 0) and a vector of N numbers (projecting along the x-direction for θ = π/2). Be sure to use long integers or floating point numbers to avoid numeric overflow. Run your program on at least 3 images. You may use the Sample Images or other image set. Graph the projections. You can do this in MS Word or Excel or other program. Do not turn in a list of numbers! Back-Projections
The back-projection b(x,y) of a set of projections p(s,θ) is the image obtained by adding up, for each x and y, those values of p(s,θ) for which f(x,y) projected into (s,θ). Essentially, we put (that is, project!) the values of p(s,θ) back into the (x,y) they came from. (If you think of projection as a matrix operation, p = Af, then back-projection is just the matrix transpose, b = ATp. This is not the inverse. Usually.) In the case of projections along the x- and y- axes, the back projection is particularly simple. Because f(x,y) projects along y into p(x,0) and along x into p(y,π/2), we have b(x,y) = p(x,0) + p(y,π/2). Implement this to back-project the projections from Part 1 above and show the results on your test images. You may have to divide by 2 to prevent numeric overflow. The back-projected images should look very blurry. 请问这里的projection和back projection 到底是什么意思 他要求我做什么变换 我应该怎么理解呢?
大侠们回答一下吧 谢谢!
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