Korekcija položaja table i koša u odnosu na predviđenu putanju košarkaške lopte

undergraduate thesis

• Title (english): Correction of the position of the backboard and the basket in relation to the predicted trajectory of the basketball
• Author: Andrija Banić
• Mentor: Dario Bojanjac (mentor)
• Committee member: Dario Bojanjac (predsjednik povjerenstva)
• Committee member: Jelena Božek (član povjerenstva)
• Committee member: Leo Vincelj (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2022-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

Spajanje sporta i znanosti sve je popularnije i raširenije u svijetu. Brojni igrači koriste razne naprave kako bi poboljšali svoje performanse.
Također prilikom treninga te naprave čine treninge učinkovitijima i zabavnijima te je upravo u ovome radu spojena košarka i znanost, zabava i učinkovitost.
U okviru ovog rada dan je pregled korekcije table simulacijama pomoću numeričkih metoda koje su iznimno precizne, no problem je vrlo sporo izvođenje. To nam nije bilo dovoljno pa smo izgradili matematički model koji smo programski implementirali te smo praćenjem objekta u prostoru pomoću programske knjižnice OpenCV kroz boju te izolacijom lopte od okoline dolazili u svakom trenutku do njezine pozicije što smo iskoristili kako bismo odredili početnu brzinu i kut te prilagodili naš model podacima. Vidjeli smo da također metodom najmanjih kvadrata možemo predvidjeti kretanje lopte te lijepo iscrtati njenu parabolu prije nego što dođe do samog koša.
U konačnici smo dali par primjera u kojima smo pokazali samu implementaciju te naveli nadogradnje, ali i probleme na koje smo naišli u okviru ovoga rada.

Abstract (english)

The blend of sport and science is becoming more and more popular and widespread in the world. Many players use a variety of gadgets to improve their performance.
Also during training, these devices make training more efficient and fun, and in this thesis that basketball and science, fun and efficiency are combined.
This thesis provides an overview of backboard correction by simulations using numerical methods that are extremely precise, but the problem is that those methods are very inefficient when it comes to runtime. This was not enough for us, so we built a mathematical model that we implemented, and by tracking the object in space through color and isolating the ball from the environment using the OpenCV framework,we could locate the ball at any given moment, which we used to calculate initial ball velocity and launch angle. With those parameters we fitted our model. We saw that we can also use the least squares method to predict the movement of the ball and draw the trajectory before it hits the board.
Finally, we gave a couple of examples in which we showed the implementation itself and listed future improvements, but also the problems we encountered in this thesis.

• Keywords: Korekcija table; matematički model; metoda najmanjih kvadrata; simulacija
• Keywords (english): Backboard correction; mathematical model; least squares method; simulation
• Language: croatian
• URN:NBN: urn:nbn:hr:168:717138
• Study programme: Title: Computing; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-01-15 09:43:55