Computer graphics: the mathematics behind the scenes 2004 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis

Abstract [en]

This work describes computer graphics with focus on the mathematics behind the scenes. Representations of three-dimensional objects, such as curves, surfaces, and solids are described. Integral and rational Bezier curves, B-splines and NURBS are used for the modeling of curves and surfaces. The objects can be visualized as projections and a useful model for defining the view of a scene, the synthetic-camera model, is described. Basic algorithms for rendering of lines and circles are discussed. Examples of interactive programs in Java which demonstrate rendering of lines, circles, ellipses, and Bezier curves, are given.

Place, publisher, year, edition, pages

2004.

Keywords [en]

Physics Chemistry Maths, mathematics, computer graphics, 3D, curves, surfaces, polygons, transformations, projections, B-splines, NURBS, Bezier, Casteljau, synthetic camera, midpoint, convex hull, matematik, datorgrafik, kurvor, ytor, polygoner, transformationer, projektioner, konvext hölje

Keywords [sv]

Fysik, Kemi, Matematik

Identifiers

URN: urn:nbn:se:ltu:diva-51074ISRN: LTU-C/DUPP--04/15--SELocal ID: 84b41d39-8c5e-45ee-9b79-9229194314e2OAI: oai:DiVA.org:ltu-51074DiVA, id: diva2:1024437

Subject / course

Student thesis, at least 15 credits

Educational program

Mathematics, master's level

Examiners

Note

Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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