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Share Your Current mid Term Papers (Questions/Pattern) 20 June 2015 ~ 01 July 2015 to help each other. Thanks

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Questions from the Mid Term Exam of CS602

June 25, 2015  11:00 AM

1. Why do we need 3-dimensional pictures?            2 Marks
2. Which projection gives the most realistic view of object?              2 Marks
3. How can we find the distance between two 3D points using mathematical notation?  3 Marks
4. Two composite rotations R(θ2) and R(θ1) are performed to a point P, you are required to write the final expression of composite rotation matrix to the point P.   3 Marks
5. Derive the formula for calculating Unit vector from a given 3D vector <x, y, z>.  5 Marks
Attachments:

• Why do we need 3-dimensional pictures?            2 Marks

A: Its need for real world pic displaying. Its just a fancy term for a system that measures objects with width, height, n depth.

• Which projection gives the most realistic view of object?              2 Marks

A: Perspective projection gives a more realistic view of

the objects in the scene.

• How can we find the distance between two 3D points using mathematical notation?  3 Marks

A: distance = sqrt(dx*dx+dy*dy+dz*dz)

• Two composite rotations R(θ2) and R(θ1) are performed to a point P, you are required to write the final expression of composite rotation matrix to the point P.   3 Marks

A:  P' = R(θ1+θ2).p

• Derive the formula for calculating Unit vector from a given 3D vector <x, y, z>.  5 Marks

A: Unit vector = <x,y,z>/length = |x/length, y/length, z/length|

Mine today ppr .. All mcqs fom Moaaz File Thanks God Subjectiv b exy thy..

Q. Which type of projection is used in engineering drawings.
Q What is the difference between local and global coordinate system?
Q. If point (x.,y ) is rotated about axix anti clockwise at theta .. what will be new values?
Q. Differenciate between cabinet and car . whtvr ..
Q .Dicuss following w.r.t eqution:
-  a line intersects a plane
- a line does not intersect plane
Q. Discuss 4 cases of clipping edge w.r.t .. S ka jo algorithm tha wo .

Anyways all da bxt !

Please Share The Answers of Last Two Questions .... As soon As possible Q. Which type of projection is used in engineering drawings.

A: Parallel Projection

Q What is the difference between local and global coordinate system?

A:

• local coordinate systems r defined with respect to global coordinate system
• locations r relative to any of these coordinate systems
• locations can b tranlated r tranformed from 1 coordinate system to another.

Q. If point (x.,y ) is rotated about axix anti clockwise at theta .. what will be new values?

A: Positive angle of rotation will b anticlockwise.

P' = [x' y']  R=[cosθ   -sinθ  sinθ  cosθ]  P = [x y ]

Q. Differenciate between cabinet and car . whtvr ..

A: Cavalier: All lines perpendicular to the projection plan are projected no change in length.

Cabinet: Lines with are perpendicular to the projection plan are projected at 1/2 length.

-------------

Q .Dicuss following w.r.t eqution:
-  a line intersects a plane
- a line does not intersect plane

-------------
Q. Discuss 4 cases of clipping edge w.r.t .. S ka jo algorithm tha wo .
A: If clipping Rectangle is denoted by dashed lines and Line is defined by using point 1 and point 2.

Case i: For each boundary b in [L(left),R(right),T(top),B(bottom)]

If P1 outside and p2 inside

Intersect point (p1')

point p2.

Case ii: For each boundary b in [L(left), R(right),T(top),B(bottom)]

If p1 and p2 inside.

point p2

Case iii: For each boundary b in [L(left), R(right),T(top),B(bottom)]

If p1 and p2 outside.

Do nothing

Case iv: For each boundary b in [L(left),R(right),T(top),B(bottom)]

If p2 outside and p1 inside.

intersection only point(p2') only.

Moaaz ki file share kr skti hian ap ? mje nae mili

Today Paper @ 12:30 PM..

18 of 20 MCQs from past papers..

Subjective ::

1). Differentiate b/w Reflection transformation and Shear transformation in 3-D system? 2

2). Explain 3-D Coordinate System? 3

3). Difference b/w Orthographic and Oblique Projections? 3

4). Differentiate b/w Cavalier and Cabinet Projection? 5

5). Give formula for

• Translation P' =
• Rotation P' =
• Shear P' =
• etc                                                                         5

Today my paper

total question 26

20 mcq................... 14 To 15 MCQ from moiz file

6 qeustion

2 question 2 marks

2 question 3 marks

2 question 5 marks

3 qustion of matrix and other question from last chapters..........

Best of luck to all students     Q: whey do we need a three dimension picture? 2 marks

Ans: its need for real word picture displaying, its just a fancy tram for a system that measure the object with width  height and depth.

Q: which projection give a most realistic view of object? 2 marks

ANS: prospective projection give a most realistic view of object in the scene.

Q: How can we find the distance between two 3D points using mathematical notation?  3 Marks
ANS: distance = sqrt(dx*dx+dy*dy+dz*dz)

Q: Two composite rotations R(θ2) and R(θ1) are performed to a point P, you are required to write the final expression of composite rotation matrix to the point P.    Marks 3.

P′= R(θ1+ θ2) . P

Q: derive the formula for calculating Unit vector from a given 3D vector <x, y, z>. Marks5

ANS: A: Unit vector = <x,y,z>/length = |x/length, y/length, z/length|

Which type of projection is used in engineering drawings.
orthographic projection

Q What is the difference between local and global coordinate system?

Local coordinate systems can be defined with respect to global coordinate system

•  Locations can be relative to any of these coordinate systems

•  Locations can be translated or "transformed" from one coordinate system to

another.

Differentiate b/w Cavalier and Cabinet Projection? 5

Cavalier

Alpha = 45°, tan (Alpha) = 1 => L1 = 1 this is a Cavalier projection such that all lines

perpendicular to the projection plane are projected with no change in length.

Cabinet

Lines which are perpendicular to the projection plane are projected at 1 / 2 length. This is a Cabinet projection.

Q .Dicuss following w.r.t eqution:
-  a line intersects a plane
- a line does not intersect plane

Discuss 4 cases of clipping edge

The clip boundary determines a visible and invisible region. The edges from vertex i to vertex i+1 can be one of four types:

• Case 1 : Wholly inside visible region - save endpoint
• Case 2 : Exit visible region - save the intersection
• Case 3 : Wholly outside visible region - save nothing
• Case 4 : Enter visible region - save intersection and endpoint

1). Differentiate b/w Reflection transformation and Shear transformation in 3-D system?

Reflection

A three-dimensional reflection can be performed relative to a selected reflection axis or

with respect to a selected reflection plane.

Shears

Shearing transformations can be used to modify object shapes.

2). Explain 3-D Coordinate System? 3

3D Cartesian coordinate systems

•  Direction and magnitude along three axes, with reference to an origin

•  Locations are defined by x, y, z triples

•  Can define cubes, cones, spheres, etc.,

•  Can have multiple origins and transform coordinates among them

Difference b/w Orthographic and Oblique Projections? 3

orthographic projection

If the direction of projection is perpendicular to the projection plane then it is an

orthographic projection.

Oblique Projection

If the direction of projection is not perpendicular to the projection plane then it is an

Oblique projection

5). Give formula for

• Translation P′= P + T
• Rotation P' = R . P
• Scaling: P′= S. P
• Shear P' = y′= y

1: explain axonometric projection in the content of computer graphics ? (2 marks)
Axonometric projections are orthographic projections in which the direction of projection is not parallel to any of the three principal axes.

The dot product of 2 vectors is a scalar

4: explain orthographical projection and what meant by term oblique parallel projection? (marks 3)

Orthographic Projection

If the direction of projection is perpendicular to the projection plane then it is an

orthographic projection.

oblique parallel

Non orthographic parallel projections are called oblique parallel projection.

Define Vector Normalization?

“Normalizing” a vector means shrinking or stretching it so its magnitude is 1. A simple

way is normalize by dividing by its magnitude:

SAQIB BS.IT 6 thanks for sharing jazak Allah 