Tugas 5 Grafikom

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TUGAS 5 GRAFIKA KOMPUTER

(Untuk memenuhi Tugas Mata Ajar Grafika Komputer Semester Genap Tahun Pelajaran 2014/2015)

Disusun oleh

Nama

: Ahmad Arif Faizin

NIMq

: 21060112120027

JURUSAN TEKNIK ELEKTRO

FAKULTAS TEKNIK

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1.

Spline Interpolation of Sine Data

1. x = 0:10; 2. y = sin(x); 3. xx = 0:.25:10;

4. yy = spline(x,y,xx); 5. plot(x,y,'o',xx,yy)

2.

Spline Interpolation of Distribution and Specify Endpoint Slopes

1. x = -4:4;

2. y = [0 .15 1.12 2.36 2.36 1.46 .49 .06 0]; 3. cs = spline(x,[0 y 0]);

4. xx = linspace(-4,4,101);

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3.

Spline Interpolation of Angular Data

1. x = pi*[0:.5:2];

2. y = [0 1 0 -1 0 1 0; 3. 1 0 1 0 -1 0 1]; 4. pp = spline(x,y);

5. yy = ppval(pp, linspace(0,2*pi,101));

6. plot(yy(1,:),yy(2,:),'-b',y(1,2:5),y(2,2:5),'or'), axis equal

4.

Spline Interpolation of Sine and Cosine Data

1.

x = 0:.25:1;

2.

Y = [sin(x); cos(x)];

3.

xx = 0:.1:1;

4.

YY = spline(x,Y,xx);

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6.

hold on

7.

plot(x,Y(2,:),'o',xx,YY(2,:),':')

8.

hold off

5. Interpolation

1.

x = 2*pi*[0 1 .1:.2:.9];

2.

y = cos(x);

3.

cs = csapi(x,y);

4.

fnplt(cs,2);

5.

axis([-1 7 -1.2 1.2])

6.

hold on

7.

plot(x,y,'o')

8.

hold off

6. Linear interpolation

1.

x = 2*pi*[0 1 .1:.2:.9];

2.

y = cos(x);

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5.

fnplt(csp,'g')

6.

hold off

7.

cs = csapi(x,y);

8.

pl = spapi(2, x, y);

9.

hold on

10.

fnplt(pl, 'r', 2)

11.

hold off

7. Knot Selection

1.

x = linspace(0,10,101);

2.

y = exp(x);

3.

sp0 = spap2( augknt(0:2:10,4), 4, x, y );

4.

plot(x,y-fnval(sp0,x),'r','LineWidth',2)

5.

sp1 = spap2( newknt(sp0), 4, x, y );

6.

hold on

7.

plot(x,y-fnval(sp1,x),'k','LineWidth',2)

8.

hold off

9.

Hermite Spline

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2.

y = [-1 -1 -1 0 1 1 1];

3.

t = -3:.01:3;

4.

p = pchip(x,y,t);

5.

s = spline(x,y,t);

6.

plot(x,y,'o',t,p,'-',t,s,'-.')

7.

legend('data','pchip','spline',4)

10.

Cubic Spline Interpolation

1.

x = [1 1.5 2 4.1 5];

2.

y = [1 -1 1 -1 1];

3.

plot(xx,csapi(x,y,xx),'k-',x,y,'ro')

4.

title('Cubic Spline Interpolant to Five Points')

11. Beizer Spline

1. pt1 = [ 5;-10]; 2. pt2 = [18; 18]; 3. pt3 = [38; -5]; 4. pt4 = [45; 15]; 5.

6. cla

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8. placelabel(pt2,'pt_2'); 9. placelabel(pt3,'pt_3'); 10. placelabel(pt4,'pt_4'); 11. xlim([0 50])

12. axis equal

13. pts = kron((1-t).^3,pt1) + t).^2.*t,pt2) + kron(3*(1-t).*t.^2,pt3) + kron(t.^3,pt4);

14.

15. hold on