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COM3503 Assignment

创建日期：2024-04-24 16:58:53

所属分类：计算机computer science

标签： COM3503

Assignment

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COM3503 3

1. Figure 1 shows a quadcopter model made
entirely from spheres, where each sphere
is transformed into the required shape for
the particular part. The central body of the
quadcopter has four arms attached to it.
Within each arm, at the end of the
horizontal piece, the darker-coloured
piece contains an engine to rotate the
rotor blade assembly attached above it. A
rotor blade assembly consists of a sphere
and two rotor blades, each of which is
tilted slightly in its direction of travel.
a) The transformations required to create the relationships between the pieces is the
focus of this part of the question, rather than the actual size of the pieces.
(i) Draw a scene graph for the model. Include transformation nodes. Assume that
a method exists to draw a sphere with its origin at its centre – this will affect
the transformations used. Where branches or subbranches are similar, use a
brief statement describing this rather than drawing the whole branch.
[35%]
(ii) State where you would place transformations in your scene graph to control a
vertical ascent (take-off). As the quadcopter ascends, the rotor blades should
rotate around their respective vertical axes. In your answer, briefly discuss any
need to link different transformation nodes in the scene graph.
[15%]
(iii) Discuss the transformation(s) necessary to control the length of one of the
arms of the quadcopter. The engine and rotor blade assembly should not
change size and should remain positioned at the end of the arm. In your
answer, state where the transformation(s) would be positioned in the scene
graph and briefly discuss how this would affect the different parts of the
hierarchy.
[15%]
b) Assume the quadcopter is modelled using a polygon mesh model. One of the
triangles in the mesh is composed of the vertices p0 = (2, 0, 0), p1 = (0, 2, 0), and
p2 = (0, 0, 2), listed in anticlockwise order. The camera is at the world coordinate
position (4, 5, 6) looking at the world origin. Using relevant vectors and
calculations, determine whether or not the triangle should be back face culled. Full
working out must be shown. Note: The cross product for vectors a = (ax, ay, az) and
b = (bx, by, bz) is given by a × b = (aybz−azby, azbx−axbz, axby−aybx).
[20%]
c) Consider that one of the quadcopter’s engines is on fire and producing a lot of
smoke. A solution based on particle systems and billboards is proposed. A free-
roaming camera is being used to view the scene. Outline three possible visual
problems when rendering the smoke effect in conjunction with the quadcopter
model.
[15%]
Figure 1. A quadcopter toy. The grid
of lines is the xz plane.
COM3503
COM3503 4
2. This question makes use of Figures 2 and 3 (on the next page), which show a vertex
and a fragment shader, respectively. Consider that these shaders are used in the
rendering of a polygon mesh object. Line numbers are included in Figures 2 and 3 to
make it easy to refer to particular lines of code in this question and in your answers.
a) Describe two visual effects that result from setting the calculation in line 29 of the
fragment shader to a value of 0.
[10%]
b) State both changes required to the fragment shader code if the light source was a
directional light source, i.e. effectively positioned at infinity.
[10%]
c) Describe the purpose of line 15 in the vertex shader.
[10%]
d) The vertex and fragment shaders implement a particular local reflection model.
Describe two omissions in the model, i.e. factors that occur in reality that the model
does not deal with.
[10%]
e) Consider a fragment with aPos=(0,0,7) and aNormal=(0,0,1). The light (fragment
shader lines 10-17) has position=(12,0,23), ambient=(0.3,0.3,0.3), diffuse=(1,1,1)
and specular=(1,1,1). The material (fragment shader lines 19-26) has
ambient=(0,0.5,0), diffuse=(0,0.8,0), specular=(0,0,0), shininess=1. Thus the
fragment has no specular component. Calculate the diffuse intensity for the
fragment. You must show your full working out in your answer.
[20%]
f) Consider the fragment in 2(e). The material’s specular value is changed to (1,1,1),
with a shininess value of 128. Where would a viewer have to be positioned to see
a specular highlight on the fragment and what direction should they be looking in?
[10%]
g) A simple hidden surface removal method that deals with complete polygons is
called the Painter’s algorithm. A polygon list is built up in memory that contains for
each polygon a single depth value (for example the depth of the centroid). Polygons
are then rendered into screen memory in order of depth, the furthest polygon being
dealt with first. Compare and contrast the z-buffer approach to hidden surface
removal with the Painter’s algorithm, using the following criteria:
(i) Memory required and scene complexity;
[15%]
(ii) Depth correctness of final rendering. Consider both static and animated
scenes in your answer.
[15%]
COM3503
COM3503 5

Figure 2. A vertex shader
01: #version 330 core
02:
03: layout (location = 0) in vec3 position;
04: layout (location = 1) in vec3 normal;
05:
06: out vec3 aPos;
07: out vec3 aNormal;
08:
09: uniform mat4 model;
10: uniform mat4 mvpMatrix;
11:
12: void main() {
13: gl_Position = mvpMatrix * vec4(position, 1.0);
14: aPos = vec3(model*vec4(position, 1.0f));
15: aNormal = mat3(transpose(inverse(model))) * normal;
16: }
01: #version 330 core
02:
03: in vec3 aPos;
04: in vec3 aNormal;
05:
06: out vec4 fragColor;
07:
08: uniform vec3 viewPos;
09:
10: struct Light {
11: vec3 position;
12: vec3 ambient;
13: vec3 diffuse;
14: vec3 specular;
15: };
16:
17: uniform Light light;
18:
19: struct Material {
20: vec3 ambient;
21: vec3 diffuse;
22: vec3 specular;
23: float shininess;
24: };
25:
26: uniform Material material;
27:
28: void main() {
29: vec3 ambient = light.ambient * material.ambient;
30:
31: vec3 norm = normalize(aNormal);
32: vec3 lightDir = normalize(light.position - aPos);
33: float diff = max(dot(norm, lightDir), 0.0);
34: vec3 diffuse = light.diffuse * diff * material.diffuse;
35:
36: vec3 viewDir = normalize(viewPos - aPos);
37: vec3 reflectDir = reflect(-lightDir, norm);
38: float spec = pow(max(dot(viewDir, reflectDir), 0.0),
39: material.shininess);
40: vec3 specular = light.specular * spec * material.specular;
41:
42: vec3 result = ambient + diffuse + specular;
43: fragColor = vec4(result, 1.0);
44: }
Figure 3. A fragment shader (split into two pieces to
fit everything on one page)
COM3503
COM3503 6
3. a) Two common approaches used to produce shadows in polygon mesh rendering
are shadow maps (i.e. the shadow z-buffer approach) and shadow volumes. Briefly
contrast the two approaches with respect to each of the following statements,
making sure you include comments on each approach in each of your answers:
(i) The approach allows objects to cast shadows on themselves (i.e. self-
shadowing);

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ECOS3003 ELEC6252 C2511C PHY328 EC1060 ECON32202 COMP4002-E1 MATH3063 EFIMM0124 QBUS2310 ECON4411 FUNDAMENTALS ACCT20001 18YX RPM COMP 2711 QBUS6600 BUSS5221 ST3189 FIT1047 MAT344 EGB375 MATH60013 MATH96011 COMP3557 MAST20029 ECM159 EAE1011 ENSCEN 105 SECTION A STA 141C SOSE 2022 PAM006 COMP0048 M40007 ISOM2500 CMPE 142 A06472 MCC150 ACST 8083 GEOG6087 ECON920 FINM7008 ENVENG 4110 COMPSCI 361 ENGRCEE 21 PHYS 1112 ACF2100 ECMM108 COMPS267F MAT00050M MAST30025 CSIT970 MSCI 224 INT202 PUBL0054 MSDM5004 BMAN 21020 BMAN21020 MGMT1002 MATH11150 LAWS7023 ACTL30002 CIVL3340 MATH1002 ECON 8069 COMPSCI 351 IBUS7302 STAT4528 CHEM1101 STAT3925 BUSN 7008 Comp 3120 ECOS2040 SWEN90010 ENGN6528 ECM158 ECON20022 COMP6452 Calculation CITS1401 S1889112 BUS 351 ACTL30008 FIT2091 ECON6002 IBUS6020 PHI 001 ECON30290 MATH7501 ECON10004 MFIN7017 ISYS90043 LAWS7012 ECON30025 COMP30023 COMM1190 ECOM20001 GSBS6009 STAT 337 EMET8002 ECOM90001 ECOM30001 FINC 2012 BUSINESS ENGCV512 ECO 101H1 IB9520 FINM 3008 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