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Given an undirected graph G = (V, E). Find a spanning tree of G with the maximum number of vertices that have degree 1. Show that this problem is NP-complete. For the NP-Complete proof, do the following ALSO:
1)Show clearly the decision version of the problem.
2)Show clearly the problem and instance that you want to reduce from.
3)Show clearly both the forward/reverse directions of the equivalence of your two instances.
Create a simple warm-up program using your G3D programming and graphics environment.
Develop the image manipulations
Concepts of Computer Graphics and develop a program using OpenGL
Create menu or appropriate GUI for material parameters. Users should be able to manipulate the parameters for material; ambient, diffuse, specular in each RGB channel and shininess.
Relative Positioning and Interactive Positioning by Dragging and Clicking and some Simple Animation
There is a rectangle with vertices at (-6,-3,6)T, (3,-3,6)T, (3,3,9)T, and (-6,3,9)T. What is the 3x4 perspective camera matrix? Calculate and plot the projection of the rectangle on the image plane.
Develop a grayscale image consisting of an 8 x 8 grid with vertical line in the first column. Compress into JPEG format and decompress.
Shadow effect while rolling a sphere as well as the options of shading and lighting.
What does resolution mean How is resolution connected to ppi and dpi units
Differentiate between a bitmap image and a vector image Explain the following terms
Define picture composition What are the factors affecting picture composition. Elaborate on each factor Describe the basic lines present in a composition
design of user interfaces, natural mapping, GUI applications, web page design different to designing for printed media, risks exposed in this "phone as individual proxy" approach, interaction designers of ubicomp applications, Storyboards are usual..
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