COMP5045: Semester 1, 2022

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Units COMP5045 Semester 1 2022 [Normal day]

Unit of study_

COMP5045: Computational Geometry

Overview

In many areas of computer science- robotics, computer graphics, virtual reality, and geographic information systems are some examples- it is necessary to store, analyse, and create or manipulate spatial data. This course deals with the algorithmic aspects of these tasks: we study techniques and concepts needed for the design and analysis of geometric algorithms and data structures. Each technique and concept will be illustrated on the basis of a problem arising in one of the application areas mentioned above.

Details

Academic unit	Computer Science
Unit code	COMP5045
Unit name	Computational Geometry
Session, year ?	Semester 1, 2022
Attendance mode	Normal day
Location	Camperdown/Darlington, Sydney
Credit points	6

Enrolment rules

Prohibitions ?	None
Prerequisites ?	None
Corequisites ?	None
Assumed knowledge ?	Experience with data structures and algorithms as covered in COMP9103 or COMP9123 or COMP2123 or COMP2823 or INFO1105 or INFO1905 (or equivalent UoS from different institutions)
Available to study abroad and exchange students	Yes

Teaching staff and contact details

Coordinator	Joachim Gudmundsson, joachim.gudmundsson@sydney.edu.au
Lecturer(s)	Joachim Gudmundsson , joachim.gudmundsson@sydney.edu.au

Type	Description	Weight	Due	Length
Oral exam ?	Final exam Oral exam using Zoom	32%	Please select a valid week from the list below	20 minutes (oral)
Outcomes assessed:
Assignment	Assignment 1 Problem solving assignment	17%	Week 04	n/a
Outcomes assessed:
Assignment	Assignment2 Problem solving assignment	17%	Week 07	n/a
Outcomes assessed:
Assignment	Assignment 3 Problem solving assignment	17%	Week 10	n/a
Outcomes assessed:
Assignment	Assignment 4 Problem solving assignment	17%	Week 13	n/a
Outcomes assessed:

Detailed information for each assessment can be found on Canvas.

Assessment criteria

The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).

As a general guide, a high distinction indicates work of an exceptional standard, a distinction a very high standard, a credit a good standard, and a pass an acceptable standard.

Result name	Mark range	Description
High distinction	85 - 100
Distinction	75 - 84
Credit	65 - 74
Pass	50 - 64
Fail	0 - 49	When you don’t meet the learning outcomes of the unit to a satisfactory standard.

For more information see sydney.edu.au/students/guide-to-grades.

For more information see guide to grades.

Late submission

In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:

Deduction of 5% of the maximum mark for each calendar day after the due date.
After ten calendar days late, a mark of zero will be awarded.

This unit has an exception to the standard University policy or supplementary information has been provided by the unit coordinator. This information is displayed below:

Late submission is not accepted. Special consideration up to 7 days are accepted without any changes to the assignment. Special consideration for longer than 7 days are handled by alternative assignments.

Special consideration

If you experience short-term circumstances beyond your control, such as illness, injury or misadventure or if you have essential commitments which impact your preparation or performance in an assessment, you may be eligible for special consideration or special arrangements.

Academic integrity

The Current Student website provides information on academic integrity and the resources available to all students. The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.

We use similarity detection software to detect potential instances of plagiarism or other forms of academic integrity breach. If such matches indicate evidence of plagiarism or other forms of academic integrity breaches, your teacher is required to report your work for further investigation.

You may only use artificial intelligence and writing assistance tools in assessment tasks if you are permitted to by your unit coordinator, and if you do use them, you must also acknowledge this in your work, either in a footnote or an acknowledgement section.

Studiosity is permitted for postgraduate units unless otherwise indicated by the unit coordinator. The use of this service must be acknowledged in your submission.

Weekly schedule

WK	Topic	Learning activity
Week 01	Art gallery theorems and polygon triangulation	Lecture (2 hr)
Week 02	Sweepline algorithms, convex hulls, lower bounds	Lecture (2 hr)
Week 03	Line segment intersection and polygon partitioning	Lecture (2 hr)
Week 04	Linear programming and probabilistic analysis	Lecture (2 hr)
Week 05	Orthogonal range searching 1: kd-tress and range trees	Lecture (2 hr)
Week 06	Orthogonal range searching 2: fractional cascading and interval trees	Lecture (2 hr)
Week 07	Planar point location	Lecture (2 hr)
Week 08	Arrangements and duality	Lecture (2 hr)
Week 09	Voronoi diagrams and Delaunay triangulation	Lecture (2 hr)
Week 10	Approximation algorithms	Lecture (2 hr)
Week 11	The Frechet distance	Lecture (2 hr)
Week 12	Binary space partition	Lecture (2 hr)
Week 13	Recap	Lecture (2 hr)

Study commitment

Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 6 credit point unit, this equates to roughly 120-150 hours of student effort in total.

Required readings

All readings for this unit can be accessed through the Library eReserve, available on Canvas.

M. de Berg, O. Cheong, M. van Kreveld and M. Overmars., Computational Geometry: Algorithms and Application (3rd edition). SpringerVerlag, Heidelberg, 2008. 978-3-540-77973-5.

Learning outcomes

Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University’s graduate qualities and are assessed as part of the curriculum.

Outcomes
Graduate qualities

At the completion of this unit, you should be able to:

LO1. argue the correctness and efficiency of a proposed solution. Mainly in writing but also orally
LO2. demonstrate knowledge of fundamental algorithms for several problems, for example algorithms to compute convex hulls, triangulate polygons, low-dimensional linear programming and Voronoi diagrams, knowledge of fundamental general algorithmic design techniques, such as greedy, dynamic programming and divide-and-conquer
LO3. read, understand, analyze and modify a given algorithm. Ability to design algorithmic solutions for given geometric problems
LO4. attack theoretical and practical problems in various application domains
LO5. understand and apply important techniques and results in computational geometry
LO6. analyze the complexity of a given algorithm
LO7. demonstrate knowledge of fundamental geometric data structures such as, data structures for range searching, point location, segment intersection and ray shooting. Demonstrate knowledge of fundamental general design techniques for data structures, such as multi-level trees, duality and divide-and-conquer.

Graduate qualities

The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.

GQ1	Depth of disciplinary expertise Deep disciplinary expertise is the ability to integrate and rigorously apply knowledge, understanding and skills of a recognised discipline defined by scholarly activity, as well as familiarity with evolving practice of the discipline.
GQ2	Critical thinking and problem solving Critical thinking and problem solving are the questioning of ideas, evidence and assumptions in order to propose and evaluate hypotheses or alternative arguments before formulating a conclusion or a solution to an identified problem.
GQ3	Oral and written communication Effective communication, in both oral and written form, is the clear exchange of meaning in a manner that is appropriate to audience and context.
GQ4	Information and digital literacy Information and digital literacy is the ability to locate, interpret, evaluate, manage, adapt, integrate, create and convey information using appropriate resources, tools and strategies.
GQ5	Inventiveness Generating novel ideas and solutions.
GQ6	Cultural competence Cultural Competence is the ability to actively, ethically, respectfully, and successfully engage across and between cultures. In the Australian context, this includes and celebrates Aboriginal and Torres Strait Islander cultures, knowledge systems, and a mature understanding of contemporary issues.
GQ7	Interdisciplinary effectiveness Interdisciplinary effectiveness is the integration and synthesis of multiple viewpoints and practices, working effectively across disciplinary boundaries.
GQ8	Integrated professional, ethical, and personal identity An integrated professional, ethical and personal identity is understanding the interaction between one’s personal and professional selves in an ethical context.
GQ9	Influence Engaging others in a process, idea or vision.

Outcome map

Learning outcomes	Graduate qualities
Learning outcomes

Closing the loop

No major changes have been made since this unit was last offered

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The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.

To help you understand common terms that we use at the University, we offer an online glossary.

Current students

Overview

Details

Enrolment rules

Teaching staff and contact details

Assessment

Assessment criteria

Late submission

Special consideration

Academic integrity

Weekly schedule

Study commitment

Required readings

Learning outcomes

Graduate qualities

Outcome map

Closing the loop

Disclaimer

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