Kardinalni B-zlepki : diplomsko delo

Grenc, Nejc (author), Jaklič, Gašper (mentor)

Diplomsko delo obravnava problematiko zapisa in predstavitve krivulj v računalništvu. Kljub temu, da so eden izmed najosnovnejših elementov računalniške grafike, se izkaže, da so tudi same lahko zelo zahtevne za izgradnjo. Veliko različnih tipov zapisov skuša rešiti to problematiko, a noben ni tako uspešen kot kardinalni B-zlepki. Ti imajo edinstven nabor lastnosti, ki jim omogočajo, da na preprost način opišejo zelo kompleksne krivulje. Osrednja tema tega diplomskega dela so tako kardinalni B-zlepki, njihove lastnosti, različni načini zapisa in gradnje krivulj. Slednje so bile v sklopu te diplomske naloge tudi implementirane v programu za generiranje in oblikovanje krivulj, ki služi kot čudovit učni pripomoček. Namen tega diplomskega dela je predstaviti grafične krivulje in kardinalne B-zlepke na način, ki bo bralcu kar najbolje razložil ta nepoznani svet računalniških krivulj.

• Language: Slovenian
• Keywords: računalniška krivulja, kardinalen B-zlepek, generator krivulj
• Work type: Bachelor thesis/paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FRI - Faculty of Computer and Information Science
• Publisher: [N. Grenc]
• Year: 2015
• Number of pages: 50 str.
• PID: 20.500.12556/RUL-72350
• COBISS.SI-ID: 153648915
• Publication date in RUL: 14.09.2015

Licences

• License: CC BY-SA 2.5 SI, Creative Commons Attribution-ShareAlike 2.5 Slovenia
• Link: https://creativecommons.org/licenses/by-sa/2.5/si/deed.en
• Description: You are free to reproduce and redistribute the material in any medium or format. You are free to remix, transform, and build upon the material for any purpose, even commercially. You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original. You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Secondary language

• Language: English
• Title: Cardinal B-splines

Abstract

This thesis deals with the issue of formation and presentation of curves in computer science. Despite being one of the most fundamental elements of computer graphics, they themselves can be very difficult to create. Many different curve format types attempt to solve this problem, but none is as successful as cardinal B-splines. They have a unique set of properties that allow them to describe very complex curves in a simple way. The main topic of this thesis are cardinal B-splines, their characteristics and different ways of recording and engineering curves. The latter were as a part of this thesis also implemented in the curve generating and transformation program, which serves as a wonderful learning tool. The aim of this thesis is to present graphical curves and cardinal B-splines in a way, that will best explain this unknown world of curves to the reader.

• Keywords: computer curve, cardinal B-spline, curve generator