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COSC 363: Computer Graphics
Assignment 2
Max. Marks: 20
Due: 11:55pm, Sunday, 31 May 2020
Aim
In this assignment you will implement a ray tracer that can handle different types of
geometric objects and global illumination features, and demonstrate its capability in
enhancing the visual realism of a rendered scene.
1. The Basic Ray Tracer
In labs 7, 8, you will develop a simple ray tracer that can handle scenes containing
planes and spheres. You will also implement methods for generating shadows and
reflections. This assignment builds upon that ray tracer. As a minimum, your ray
tracer should include the following features/objects.
(a) A good and meaningful spatial arrangement of a set of scene objects such as
spheres and planes.
(b) At least one transparent object such as a hollow sphere. (Note: A transparent
object should not be modelled as a special case of a refractive surface with
1 = 2 = 1. )
(c) Objects must cast shadows. Transparent and refractive objects must have
lighter shadows.
(d) The scene must include at least one object constructed using a set of planes
(e.g. box, tetrahedron, pyramid, octahedron).
(e) At least one planar surface in the scene must have a chequered pattern. The
method used for generating a stripe pattern in Lab 08 may be extended for
this.
OpenGL functions should be used only for the final rendering of the ray traced image.
2. Extensions
This assignment will be marked out of 20, with 16 marks for the ray tracer and 4
marks for a report (see below). With just the above features, your ray tracer would
earn at most 9 marks out of 16, and the report 2 marks out of 4. To get more than that,
you need to implement a few additional features. Some possible features, and the
approximate marks they would each gain if implemented correctly (up to a maximum
of 7 marks for extra features) are as follows.
 Objects other than a plane or a sphere: cone (1 mark), cylinder (1 mark),
torus (2-3 marks).
 Refraction of light through an object (e.g. a refractive sphere) : 1 mark
 Multiple light sources including multiple shadows generated by them: 1
mark
 Spotlight: 1 mark
 Anti-aliasing: 1-2 marks
 A non-planar object textured using an image: 1 mark
 A procedural pattern generated on any surface. The pattern must be more
complex than stripes and checks. A pattern may also be generated using
mathematical formulae: 1-2 marks
 Fog: 1-2 marks
The marks associated with each feature should be taken to be indicative of the time
and/or effort required to implement that a feature. The 9 marks for the minimum
requirements are relatively easy to get when compared to the marks gained for some
of the extension features. The above list should not be taken as a list of the only
features that can be implemented.
3. Report (Max. marks: 4, No. of pages: 2 – 4 )
The report should describe your ray tracer, including both its successes and its
failures. It should include at least one image showing the ray tracer’s capabilities. You
may include additional images demonstrating various features of your
implementation. The report should clearly outline both the mathematical and the
implementation aspects of all extra features you have implemented in the ray tracer,
other than those listed as minimum requirements. For example, if you have
implemented anti-aliasing in your ray tracer, you should describe its purpose, the
effect it produces on the output (include figures showing the rendering with and
without anti-aliasing), and how it is implemented. Similarly, if you have used
procedural textures, provide the mathematical equations used for mapping coordinates
to colour values. All resources and references used in your work must be cited in the
report.
You must also give an estimate of the time taken by your program to generate the
output on your computer/virtual machine. Ray tracing can be computationally very
expensive. The time taken to ray trace an image using a simple “brute force”
algorithm is proportional to the number of pixels times the number of scene objects.
To keep run times to a minimum, you should do most of your development with small
images (approx 500x500 pixels), simple scenes, and low levels of recursion.
Use of any code segments, data or images from the Internet or other resources should
be acknowledged in the report. Please include the details of the build process. You
may also (optionally) include a list of references.
4. Assignment Submission
Submit electronically (using Learn), the source code and any other supplementary
files needed to run the program. Please also submit your report in PDF format. The
files may all be packaged together and submitted as a single .zip file.
5. Miscellaneous
1. Check regularly on the Learn system forums for spec updates and clarifications.
2. You may submit up to one week late for a 15% penalty.
3. This is not a group project. Each student must individually develop the program. In particular,
students are not permitted to share program source code in any way. Standard departmental
regulations regarding dishonest practices apply.

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