Question

Applications to computer graphics Let us examine the basic mathematics used to manipulate and display graphical images such as a wire-frame model of a car. Such an image (or picture) consists of a number of points, connecting lines or curves, and information about how to fill in closed regions bounded by the lines and curves. Often, curved lines are approximated by short straight-line segments, and a figure is defined mathematically by a list of points. 7 8 For instance, the capital letter N in the figure is determined by eight points, or vertices. The coordinates of the points can be stored in a data matrix: 1 2 Vertex 1 2 3 4 6 7 8 0 6 x-coordinate 0.5 6 5.5 0.5 0 5.5 0 8 1.58 6.42 8 8 y-coordinate Given the matrix 1 0.251 A 4 - describe the effect of the shear transformation xAx on the letter N in the example.

Answer 1

Answe The rans fotimaton takes he oniqinal poinks fo the poirks new > C:JC3C:]«[;] Cn o shaaing bi noe) S.895 5A S Cran ing a poiet is PTIopstion to the y coondlingke The moe auay apoint is fnon the -aris,the X moe s sheaned Final Tesult s ane belooamapbially) at Poinks manked and labelled

(2, 8) (7.5, 8) (8,8) (2.105, 6.42 5 5.895, 1.58) to-5-0) (0,0) 0 10 (6,0)