Note: It may be possible to define the same transformation in different ways. All valid answers will receive full marks.
glRotatef(-90, 0, 1, 0);
glPushMatrix();
glTranslatef(-5, 10, 0);
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glRotatef(-40, 0, 0, 1);
glTranslatef(5, -10, 0);
drawArrow();
glPopMatrix();
drawBase();
glPushMatrix();
glTranslate(5, 0, 0);
glScalef(-1, 1, 1);
glRotatef(-90, 0, 0, 1);
drawBeetle();
glPopMatrix();
glPushMatrix();
glTranslate(-2, 0, 0);
glScalef(-1, 1, 1);
glRotatef(-90, 0, 0, 1);
drawBeetle();
glPopMatrix();
glTranslate(0, 0.5, 0);
glScalef(2, 0.5, 1);
glRotatef(-90, 0, 0, 1);
drawTriangle();
(b) Angle between n and h = 10 degs, Angle between r and v = 20 degs
(c) Pcolour = (0.2, 0, 0.2) + (1, 0, 1) cos40 + (1, 1, 1) cos10
= (0.2, 0, 0.2) + (0.766, 0, 0.766) + (0.984, 0.984, 0.984) = (1.95, 0.984, 1.95) = (1, 0.984, 1)
glBegin(GL_TRIANGLE_FAN);
glTexCoord2f(0.5, 0);
glVertex3f(px, py, pz);
for(int i=0; i<7; i++)
glTexCoor2f(i/6.0, 1);
glVertex3f(vx[i], vy[i], vz[i]);
Near plane Xc
(1, -1, -1)
(1, -1, 1)
{4}+{2} The pseudo-depth of a point on the near plane is -1. {2}
Direction along the shadow ray = L – P = (0, 40, 30).
Unit vector along this ray = (0, 0.8, 0.6). {3}
(i) t represents the distance from P to the closest point of intersection. {1}
(ii) Distance from P to L is 50. The distance to the closest point of intersection is 52.
So, the point is not in shadow. {2}
(c) The pseudo-depth of a point is the z-coordinate of the point in the clip coordinate system.
(a) TCS: modifying patch vertices. Specifying inner and outer tessellation levels.
(b) The patch vertices are combined with blending functions specified in terms of tessellation coordinates to reposition each vertex of the triangle mesh generated by the primitive generator. {3}
(c) Outer: 2,2,2,2 Inner: 3, 3
C = (0, 1), D = (0.66, 0.33), E = (1, 0.5) {4}
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