Parametric Surfaces. In this problem we will see how to plot a parametric surface (x, y, z) = (x(u, v), y(u, v), z(u, v)), in Matlab. Figure 1 (a) illustrates the idea. Let (x, y, z) = (cos(u), sin(u), v) where 0 ≤u≤ 2π, -2 ≤ ≤ 2. To plot the resulting surface (a cylinder - Figure 1) we can use the following code. u = [02*pi/64 : 2*pi]; V = [-2 4/64 2]; [U, V] meshgrid(u, v); surf (cos (U), sin(U), V); = Using the above example as a guide plot the surface parameterized by (x(u, v), y(u, v), z(u, v)) = (cos(u) cos(v), sin(u) sin(v), sin(v)), where, 0≤u, v ≤ 2π. In addition, experiment with shading and colormap; also try the commands camlight and observe its effect (try also rotating the plot to see the surface from different angles).
Parametric Surfaces. In this problem we will see how to plot a parametric surface (x, y, z) = (x(u, v), y(u, v), z(u, v)), in Matlab. Figure 1 (a) illustrates the idea. Let (x, y, z) = (cos(u), sin(u), v) where 0 ≤u≤ 2π, -2 ≤ ≤ 2. To plot the resulting surface (a cylinder - Figure 1) we can use the following code. u = [02*pi/64 : 2*pi]; V = [-2 4/64 2]; [U, V] meshgrid(u, v); surf (cos (U), sin(U), V); = Using the above example as a guide plot the surface parameterized by (x(u, v), y(u, v), z(u, v)) = (cos(u) cos(v), sin(u) sin(v), sin(v)), where, 0≤u, v ≤ 2π. In addition, experiment with shading and colormap; also try the commands camlight and observe its effect (try also rotating the plot to see the surface from different angles).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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MATLAB ONLY, please include picture of output and 3D plot
![Parametric Surfaces.
In this problem we will see how to plot a parametric surface (x, y, z) = (x(u, v), y(u, v), z(u, v)),
in Matlab. Figure 1 (a) illustrates the idea. Let (x, y, z) = (cos(u), sin(u), v) where 0 ≤ u ≤
2π, -2≤v≤ 2. To plot the resulting surface (a cylinder - Figure 1) we can use the following
code.
u = [02*pi/64 : 2*pi];
V = [-2
4/64 : 2];
[U, V] = meshgrid(u, v);
surf (cos (U), sin(U), V);
Using the above example as a guide plot the surface parameterized by
(x(u, v), y(u, v), z(u, v)) = (cos(u) cos(v), sin(u) sin(v), sin(v)),
where, 0≤u, v ≤ 2π.
In addition, experiment with shading and colormap; also try the commands camlight and
observe its effect (try also rotating the plot to see the surface from different angles).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7abadbb4-3a96-4d97-bae8-d9dc9230b444%2F1aaa5916-4b83-43ea-a584-5b0c8a369ae0%2Fso5y55p_processed.png&w=3840&q=75)
Transcribed Image Text:Parametric Surfaces.
In this problem we will see how to plot a parametric surface (x, y, z) = (x(u, v), y(u, v), z(u, v)),
in Matlab. Figure 1 (a) illustrates the idea. Let (x, y, z) = (cos(u), sin(u), v) where 0 ≤ u ≤
2π, -2≤v≤ 2. To plot the resulting surface (a cylinder - Figure 1) we can use the following
code.
u = [02*pi/64 : 2*pi];
V = [-2
4/64 : 2];
[U, V] = meshgrid(u, v);
surf (cos (U), sin(U), V);
Using the above example as a guide plot the surface parameterized by
(x(u, v), y(u, v), z(u, v)) = (cos(u) cos(v), sin(u) sin(v), sin(v)),
where, 0≤u, v ≤ 2π.
In addition, experiment with shading and colormap; also try the commands camlight and
observe its effect (try also rotating the plot to see the surface from different angles).
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