TASK 2: Let P= (5,4,9), S= (Sx, Sy, Sz) = (2,3, 5) , find P' using the 3D scaling matrix, and what is the type of the scaling ?
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- Produce a borderless perfect circle in Figma Use the gradient mesh tool to create a height in order for the circle to look like a sphereConsider the transformation necessary to scale a 2-dimensional object centred at (-1, 3) by 4 in the y-direction. The resulting object is still to be centred at (-1, 3). List the sequence of steps necessary to accomplish this transformation. Write the individual transformation matrices needed to implement each of the steps in (a) above. Hint: Use homogeneous coordinates. Compute the composite transformation matrix which will accomplish the entire transformation?Create client programmes that utilise your edge-weighted digraph to generate edge-weighted digraphs for a wide range of V and E values that have a significant portion of negative weights but only a few negative cycles.
- How can backtracking be used to determine whether n colours can be used to colour a graph? How can backtracking be used to determine whether n colours can be used to colour a graph?Create Transition table, Transition Graph, then bypass the graph to find the REDevelop client programs that use your edge-weighteddigraph to produce edge-weighted digraphs that have a large percentage of negativeweights but have at most a few negative cycles, for as large a range of values of V and Eas possible.
- (Computer Graphics)Using the Cohen-Sutherland line clipping algorithm, clip the line PQ with coordinates P (-5, 3) and Q (15, 9) against a clipping rectangular window with coordinates (0, 0) and (10, 10) as lower left and upper right corner respectively. Also, find intersection points if any.Suppose that you want to sort blocks of different heights automatically. How can this task be done with touch sensors (Whiskers)Given the attached image; Find the distance values of DC(D), DA(B), DC(A), DA(C), DE(C), DA(A) After the first iteration (i.e. a single exchange of distance vector estimates between adjacent nodes) find the newly computed distance vector estimates of DB(A), DE(A), DA(B), DC(A), DE(B), DA(E) After the distance vector algorithm converges to the true estimates find the distance vector estimates of DA(D), DB(A), DA(B), DA(C), DE(C), DA(E)
- """You are given an n x n 2D mat representing an image. Rotate the image by 90 degrees (clockwise). Follow up:Could you do this in-place?""" # clockwise rotate# first reverse up to down, then swap the symmetry# 1 2 3 7 8 9 7 4 1# 4 5 6 => 4 5 6 => 8 5 2# 7 8 9 1 2 3 9 6 3 def rotate(mat): if not mat: return mat mat.reverse() for i in range(len(mat)): for j in range(i): mat[i][j], mat[j][i] = mat[j][i], mat[i][j] return mat if __name__ == "__main__": mat = [[1, 2, 3], [4, 5, 6], [7, 8, 9]] print(mat) rotate(mat) print(mat).You are to construct a 2D matrix of booleans of the given size. You should fill the matrix with false values. Then create a Random object initialized with the provided seed and fill the interior of the matrix row by row from left to right within each row. Do not place a new value in the first or last row, or the first or last column of the matrix as they may not contain an entity (and hence should remain false). You should use the nextBoolean method of the Random object to get each value. This will generate a matrix in which each value (other than on the edge) is equally likely to be true or false. Finally, print the matrix by printing a ’-’ character for each false and a ’#’ for each true. Include the outside rows and columns in the printing. Print a space after each ’-’ character or ’#’ character. Figure 1 shows a sample input and corresponding output. 6 8 7 (a) Input (6 rows, 8 columns, seed 7) - - - - - - - - - # # # - - - - - # # # # - # - - - - # # - # - - # - # - # # - - - - - -…Suppose a line segment starts at (x0, y0) and ends at (x1, y1) where, x0, y0, x1 and y1 are sequentially the first, second, third and fourth pair of digits from the left in your student ID. STUDENT ID: 21341040 Q:- Simulate the midpoint line drawing algorithm to find the first four intermediary pixels of this line after (x0, y0); or, all of them if the line reaches (x1, y1) in less than four pixels.