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Topics in Computer Graphics

Code 11509
Year 1
Semester S1
ECTS Credits 6
Workload OT(15H)
Scientific area Informatics
Mode of delivery - Face-to-face and brainstorming.
Work placements N/A.
Learning outcomes - To introduce the postgraduates into the broad field of computer graphics.
- To educate the postgraduates with strong skills in scientific research methodologies.
- To educate the postgraduates for a research career or an academic career in geometric computing and computer graphics. - Be able to deliver a time performance analysis of at least two convex hull algorithms.
- Be able to describe an efficient geometric search algorithm such as, for example, the 2-nearest points algorithm.
- Be able to explain the importance of function theory in representing geometric objects (i.e., curves, surfaces, and solids); in particular, students must be able to distinguish parametric from implicit formulations of geometry.
- Be able to identify at least a representation scheme for solids that is useful in the segmentation of human anatomical shapes in 3D medical imaging.
- Be able to develop a novel algorithm in geometric computing.
Syllabus Convexity and convex hulls. Geometric search algorithms. Proximity algorithms and triangulation. Bézier curves and surfaces. B-spline curves and surfaces. NURBS. Implicit curves and surfaces. Polygonization and rendering of implicit surfaces. Solids and multi-dimensional geometric objects. Geometric application in engineering, animation, virtual reality, biology, biochemistry, and medicine.
Main Bibliography - F. Preparata and M. Shamos, “Computational Geometry: An Introduction”, Springer-Verlag, 1985.
- G. Farin, “Curves and Surfaces for Computer-Aided Geometric Design”, Academic Press, 2002.
- A. Gomes, I. Voiculescu, J. Jorge, B. Wyvill, and C. Galbraith, “Implicit Curves and Surfaces: Mathematics, Data Structures, and Algorithms”, Springer-Verlag, 2009.
- M. Agoston, “Computer Graphics and Geometric Modeling”, Springer-Verlag, 2005.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2015-09-30

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