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CSC317 Term Test

创建日期：2024-04-07 15:21:05

所属分类：计算机computer science

标签： CSC317

Term Test

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CSC317

1. [5 marks] Raster Images

You are given an mxn black and white image (each pixel (x,y) has a color c(x,y), that is black=0 or white=1) like the
image shown below. Your task is to devise an algorithm to reduce the height of the image removing entire rows of
pixels (such the example rows A, B, C shown). You wish to alter the “visual quality” of the image as little as
possible. In the example below, removing row A would be worse that removing row B, which would be worse that
removing row C, intuitively in its visual impact on the resulting image.
a) (3 marks) Write an error function e(x) that captures the impact of removing the n (width of image) pixels of
row x, on the resulting image. e(x) should be non-negative, zero for no visual degradation, and increasing
with loss in visual quality. Explain how you are measuring visual quality, and why your function is a good
measure of its loss.
b) (2 mark) How can you use e(x) algorithmically to find the best k rows to remove.
A
B
C
2. [10 marks] Ray-object intersections
Describe a procedure panIntersect which returns the number of intersections between a ray (origin at O, direction
D) and a sauce-pan defined as the shape below. The body of the pan is defined by two cylinders centered at the
origin, with their cylindrical axis along the Y axis. The outer wall of the body has radius r1 and height h1, and the
inner wall has radius r1. The wall and bottom thickness of the pan w=r1-r2. The pan handle is a cone with a
spherical end along the X axis. The apex of the cone is distance r2+w/2 along the X axis and the cone smoothly
transitions into part of a sphere of radius r3 a distance of h3 from the origin along the X axis. The procedure
panIntersect also returns parameter values along the ray, for the intersection points in an array t (in increasing order
of t) in the case of an intersection.
int panIntersect(point O, vector D, float r1, r2, r3, h1, h2, h3, float &t[]) ;

a) (4 marks) Write the intersection procedure as a modular result of the intersection with the different parts of
the saucepan i.e. assume intersection procedures for the body and handle bodyIntersect and
handleIntersect.
b) (2 marks) Write the intersection procedure for bodyIntersect.
Y
X
r1
r2
h1
Z
w
r3
h3
c) (2 marks) Write the intersection procedure for handleIntersect.
d) (1 mark) What is the maximum number of intersections possible, for a ray with the saucepan.
e) (1 mark) Is the number of ray-pan intersections, equal to the sum of the number of ray-body and ray-
handle intersections, for all rays. If yes, prove it; if no, show a counterexample.
3. [10 marks] Short Answers (2 each)
a) Radiosity is an efficient for walk-throughs of static 3D scenes. Why?
b) When rendering a die in a scene, the image of the dot representing the number ‘one’ on one side of the die
shows up in 4 different regions of the image. How many levels of recursion is necessary to produce such an
image and why (as a baseline Ray-casting is zero levels of recursion)?
c) Imagine your surface is made of a special translucent diffuse material that only lights up when the light is
behind the surface (ignore any self-occlusion of the surface). Modify the local Phong illumination formula
for such a material.
d) A point P is said to lie on a silhouette if its surface normal is perpendicular to P-E (the vector from the eye
to the point). Suppose we have a mesh edge defined by two vertices P1 and P2 with respective vertex
normals N1 and N2. Show how you can determine if a silhouette point P exists on the edge and give a
formula for computing this point (expressed in terms of P1, P2, N1, N2 and E).
e) What does the following surface look like qualitatively (describe it in a few words) and what is the normal
vector at a point s(u,v) of the following 3D surface shape?
s(u,v) = [ u(β + αv) cos v , u(β + αv) sin v , cv ]
where (u, v) ∈ [0, 1] × ℝ and α, β, c ∈ ℝ are constants.

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关键词一关键词二关键词三关键词四关键词五和法规和的发更好的风格和 ECON 615 FINC 612 CSC148 COMP 639 ACCT 203 ACCT 211 PSYC 101 MTH2009 COMP52315 PSYCO 432 statistics MATH4063 11 xxx 1 MA1MSP MAST30028 MATH3888 CS341 EEE30002 ES2F5 MCD4160 CC0933 ECON 1101 MCHM3001 CHEM3118 COMMGMT 2511 COMP41280 STAT 631 24T1 IRE379 SENG365 ECON433 FIT3139 MATH4602 LING5621M FINS5516 ECON3208 MN2177 L2 SM EEET1415 Finance DS4023 COMP3004 7CCSMRTS K1S5B6 Stat230 CSCI4211 CSI2132 ECON30130 MAS6100 ENVS222 COM2107 INFO1112 STAT 4004 FIT2100 comp2022 COMP4691 Physics 307 Econ 659 probability CSCI316 fir29 CSCI203 COMP3160 COMP6714 INFO1113 Physics 7B Physics Photonics S203031 STAT2005 COMP90015 CSCI 2110 CSCC46 Information CSC477 COMP4650 Statistical COMP 346 COMP1017 ELEC340 MATH1007 Programming function STAT 244 CS 134 Java cse13s Math 108A FW20 ECON3389 CSE 130 Science 331 COMP9020 engineering COSC 445 CSE 5523 GAME2012 visualization MATH 235 Math 370 CSC343 COGS 108 EE524 COMP10200 STAT 416 3FK4 MSCI 311 ECON6113 ACC40700 EMESTER1 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FE 825 IERG 5130 STAT 8178 EE161 ADS2 G54FUZ CS326 113B ECN 226 QBUS6860 ELEC3202 COMP9334 MGT11B MET CS 777 STA238 00099F Python SMM306 CMT206 EC116 SP MAST90084 CS480/680 BCPM0091 CMPT 300 ECON2209 FY20 STAT 432 CVEN9625 MATH1712 CMP9771M CMP3750M CIS 325 AI506 MAT344H1S MGT7180 PSTAT 160B CSYS5010 1D STAT 453/558 ME152B STA304H1F CSCI-128 ME428 CO3002 FINE 7640 COMP3234 ECSE 223 EE497 – 3D MATH5905 ECS648U ENG5009 MATH10242 EC665 A CPI221 ISOM5220 MACE40402 MGT B456F COMP9315 AFM 113 STAT 778 CS 564 MA231 CS 230 CS 124 COMP5511 CSC317 ITEC1010 ELEC207 INFT 3019 7CCMFM06 EE 161 5G ECLT5810 MATH 7349 CS526 O2 COMP90054 ELE00063M ACCT5034 ARC1015 CSCI 40 CSCI E40 FIN 524B CS 462 389COM CMT309 MFIN703 COMP4250 STA304 STA304H1S STA 1003 FIN 448 BUFN 732 CS520 CVEN3701 ECMT6006 PHAS0100 CSIT314 MDIA 5028 CSCI 2134 MAT 451 CMPT 459 STAT 457 INFO20003 COMP4141 IELE8066 F540 ECM9 CSE 6321 FIN 430 MATH3911 BFC5916 COMP1011 EEE 6209 STATS 240 CW3 COMP206 COMP1003 4331W ISE 530 CMPT 295 MATH 239 QF5203 INFR08010 IT114105 FIT2093 ECON3124 ECON1195 MATH 337 STAT 3006 COMP202 COMP3130 MATH3609 COMP 250 CS6140 IEEE ELE00041I FIN40090 CIV 5899 MATH3066 IGNMENT MATH 2009 STAT3405 HIST 101 MATH 3281 CEGE0042 ICT532 LAB 7 LAB 5 MCO455 CSIT214 Q4 IFB104 A1 ECO220Y5Y DA5020 CMPSC473 FIN9007 DSCI553 MSCI534 COMP3308 CSE-112 CMPT 310 EE104 F 2C P20 ALY2010 BUSM060 STA258 ECO00030M R BIOSTAT 274 COS6012-B FIT3155 CMPUT 340 EC421 INFS4205 ECOM135 NATS 1740 COMP809 MBE 6005 STA465 CSSE2310 CIVL2700 DATA4700 CMPSC 473 ISE 529 CS5044 MAST30020 COMP2207 ENGG1001 COMP0046 FIT3165 STAT GR5241 MECH0007 vATHK1001 ANALYTIC ATHK1001 MATH352001 HW3 S1 BMAN 24662 COMP 636 Stat-461 STAT 302 STAT 2132 STAR534 ENG4137 CMP3752M CS3103 BISM3222 STA 135 ME155A IIMT3601 ECON3371 ECON 3371 HW4 FINA 5840 DT211C CTEC3902 MAT005 MATH2148 S261F Econ 332 MATH3734 MIS41270 7CCMFM13 SYST 664 CIS434 CENG10014 MT4111 MT4527 ECMM424 CMT219 Math 136 MATH 3120 COMP10002 MAST20009 MATH0058 BEEM117 ISYE 6420 MGMTMFE 405 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