Subject: Computer Graphics   Find the following composite transformation matrices as instructed: A 3D rotation of 90 degree clockwise about y-axis with respect to the point (a, b, c) followed by a translation of (a, b, c). A reflection about the line ax - by + c = 0  followed by a scaling “e” times with respect to the point (a, b).   A 3D rotation of 45 degree counterclockwise about z-axis with respect to point (d, e, f) followed by a uniform scaling of factor 3 with respect to point (d, e, f) and lastly followed by a translation of (a, b, c). [Here a,b,c,d,e,f are arbitrary values]

A Bezier curve is widely used in vector graphics. Explain how it works with an example of four control points?

In computer graphics, interpolation is a standard technique.Pick one that doesn't make use of interpolation if you can avoid it.Change the orientation of the B picture by 90 degrees Bezier curve (c) Reducing the distance between (d) Ray-tracingDefend the use and need of interpolation.

Create a python program that will except a 3x3 matrix and unit for translation, then conduct a basic 2D transformation of translation on the matrix.

What use does the reflection vector serve in computer graphics? Provide at least two instances to substantiate your assertion.

In computer graphics, what function does the reflection vector serve? Use at least two examples to illustrate why your assertion is true.

What use does the reflection vector serve in computer graphics? Provide at least two instances to substantiate your assertion.

create code...preferably matlab for the image question

The figure shown above is a binary images I in which white piİxels have values of one and black pixels have values of zero. First compute derivatives of the image intensities in the x and y directions following the numerical way to obtain Ix and Iy : Ix(i,j)= (I(i+1,j)-I(i-1,j))/2 and Iy(i,j) = (I(i,j+1)-I(i,j-1))/2. For the computation of Ix(i,j) on pixels in the first column Ix(i, j) = I(i+1,j) - I(i,j) or of Iy(i,j) on pixels in the first row Iy(i,j) = I(i,j+1) - I(i,j). For the computation of Ix(i,j) on pixels in the last column Ix(i,j) = I(i,j) - I(i-1,j) or of Iy(i,j) on pixels in the last row Iy(i,j) = I(i,j) - I(i,j-1). Calculate the response R of the Harris corner detector at each pixel based on Ix and ly, assuming (i) a value of k=0.05 in the calculation, (ii) that products of derivatives are summed over an equally weighted 3 by 3 pixel window around each pixel, (iii) that the image is padded with zeros when computing at pixels on the edge. ANSWER: R= (to 2 decimal places)

Write the 2D rotation matrix that rotates by 90 degrees clockwise.