Question Paper: Computer Graphics Question Paper - May 18 - Computer Engineering (Semester 4) - Mumbai University (MU)

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## Computer Graphics - May 18

### Computer Engineering (Semester 4)

Total marks: 80

Total time: 3 Hours

**Please Check Whether you have got the right question paper**

**N.B**:

(1) Question No. 1 is compulsory.

(2) Attempt any **three** of remaining five questions.

(3) Assume any suitable data if necesssary and justify the same..

**Q1(a)**Expalin CSG method for solid modeling.

**(b)**What is aliasing and Explain any one antialiasing method.

**(c)**Compare Raster Scan and Random Scan displays.

**(d)**Prove that two successive rotations are additive i.e. R1($o_{1})*R2(o_{2}$) = R($o_1 + o_2$)

**Q2(a)**Explain Bresenham line drawing algorithm with proper mathematical analysis and identify the pixel positions along a line between A(10,10) and B(18,16) using it.

**(b)**Explain the steps for 2D rotation about arbitrary point and provide a composite tansformation for the same.

**Q3(a)**Explain Liang Brasky line clipping algorithm. Apply the algorithm to clip the line with coordinate (30,60) and (60,20) against window (xmin,ymin) = (10,10) and (xmax.ymax)=(50,50).

**(b)**Expalin Sutherland Hodgman polygon clipping algorithm with suitable example and comment on its shortcoming.

**Q4(a)**What is Windows and viewport? Drive the window to viewprot transformation and also identify the geometric transformation involved.

**(b)**Explian what is meant by Bezier curve? State the various properties of Bezier curve.

**Q5(a)**What is meant by parallel and perpesctive projection? Derive matrix for oblique projection

**(b)**Explain Z Buffer algorithm for hidden surface removal.

**Q6) Write a short notes on (any two)**

**a)**Koch curve (5 marks) 00

**b)**Sweep representation and Octree representation

**c)**Gourand and phong shading

**d)**Halftonig and Dithering