Welcome

My name is dr Bojan Banjac, and I am professional programmer, scientific researcher and university professor.

In this site you can see my biography, papers, and some results of my interest for photography (one of my many hobies).

If you are interested for some additional information, or wish to collaborate, you can contact me over mail or most social networks.

My name is dr Bojan Banjac, and I am professional programmer, scientific researcher and university professor.

In this site you can see my biography, papers, and some results of my interest for photography (one of my many hobies).

If you are interested for some additional information, or wish to collaborate, you can contact me over mail or most social networks.

- Grammar school in Inđija
- Bachelor studies in Software engineering, School of Electrical Engineering, University of Belgrade
- Master studies in Software engineering, School of Electrical Engineering, University of Belgrade
- Doctoral studies in Applied mathematics, School of Electrical Engineering, University of Belgrade

##### Experience in following programming languages:

- C\C++
- Java
- C#
- Pascal\Object Pascal
- Python

##### Experience in following web technologies:

- HTML
- CSS
- JavaScript, JQuery, Bootstrap
- React
- JavaEE, Spring, JSP, Java servlet, JSF, RichFaces
- Php

##### Computer science skills and experience:

- Working with technologies for 3D graphics
- Creating user environments and interfaces
- Artificial intelligence technologies
- Technologies of concurrent and distributed programming
- Technologies of image processing
- Working with applications for 3D modeling, texturing, rigging, skinning and rendering
- Mathematical data processing
- Work with symbolic computer algebra systems
- Computer organization and architecture
- Programming in assembly language for 8086 processor
- Programming of language parsers
- Database creation and management

##### Additional skills

- Fluency in English language as well as proficiency in German
- High level of analytical, optimization and problem solving skills
- Professional level of photography and image editing skills
- Professional level of video recording and editing skills
- Experience in creation of special and visual effects

- B. Malesević, T. Lutovac, M. Rašajski,
**B. Banjac**:*Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities*, Trigonometric Sums and Their Applications, Editors A. Raigorodskii and M. T. Rassias, https://doi.org/10.1007/978-3-030-37904-9_8

- Christophe Chesneau , Marko Kostić, Branko Malešević,
**Bojan Banjac**, and Yogesh J. Bagul:*New Refinements of Cusa-Huygens Inequality*, Accepted for publication in Results in Mathematics, doi: https://doi.org/10.1007/s00025-021-01392-8 - B. Malešević, Marija Nenezić, L. Zhu,
**B. Banjac**and M. Petrović:*Some new estimates of precision of Cusa-Huygens and Huygens approximations*, Accepted for publication in Applicable Analysis and Discrete Mathematics, doi: https://doi.org/10.2298/AADM190904055M - B. Malesević, T. Lutovac, M. Rašajski,
**B. Banjac**:*Error-functions in double-sided Taylor's approximations*,Applicable Analysis and Discrete Mathematics, 14 (2020), 599-613. - M. Petrović, B. Malesević,
**B. Banjac**:*On the Erdös–Mordell inequality for triangles in taxicab geometry*,Journal of Mathematical Inequalities, Volume 14, Number 4 (2020), 1299–1319 - B. Malesevic, T. Lutovac,
**B. Banjac**:*One method for proving some classes of exponential analytical inequalities*, Filomat 32:20 (2018), 6921-6925. DOI: 10.2298/FIL1820921M - B. Malesevic, T. Lutovac,
**B. Banjac**:*One method for proving some classes of exponential analytical inequalities*, Filomat 32:20 (2018), 6921-6925. DOI: 10.2298/FIL1820921M - B. Malesevic, T. Lutovac,
**B. Banjac**:*A proof of an open problem of Yusuke Nishizawa for a power-exponential function*, Journal of Mathematical Inequalities 12 (2), 473-485. (2018) doi 10.7153/jmi-2018-12-35 - B. Malesevic,
**B. Banjac**, I. Jovovic:*A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions*, Journal of Mathematical Inequalities, Volume 11, Number 1 (2017), 151-162. **Banjac B.**, Makragić M., Malešević B.:*Some notes on a method for proving inequalities by computer*, Results in Mathematics, Volume 69, pp. 161–176(2016)

- L. Milinković, B. Malešević,
**B. Banjac**:*Continued fractions, intermediate fractions and their relation to the best approximations*, Journal of Science and Arts, Year 20, No. 3(52), pp. 545-560, 2020 - M. Petrovic, B. Malesevic,
**B. Banjac**:*Some Surfaces of Second Order as Examples of Weber's Surfaces*, Journal of industrial design and enginnering graphics, ISSN: 1843-3766, Volume 10, (2015), pp. 55-60. - Petrović M.,
**Banjac B.**, Malešević B.:*The Geometry of Trifocal Curves with Applications in Architecture, Urban and Spatial Planning*, Spatium, 2014, Vol. 32, pp. 28-33, ISSN 1450-569X - B. Malesevic, I. Jovovic,
**B. Banjac**:*Visualization in teaching and learning mathematics in elementary, secondary and higher education*, Bulletin of the “Politehnica” University of Timisoara, Romania, Tom 58 (72), Fascicola 1, 2013, ISSN: 1224-6042, pp. 37-40 (Proceedings of International Conference on Engineering Graphics and Design, Timisoara, Romania, 13-15 june 2013.

**B. Banjac**, M. Đorđević, M. Janković, B. Malešević, J. Sučević:*One method for real time visualisation of EEG data*, Proceedings of 7-th International Scientific Conference MoNGeometrija 2020, Belgrade, 18-21 September 2020- B. Malešević,
**B. Banjac**:*One method for proving polynomial inequalities with real coefficients*, Proceedings of 28th Telecommunications forum TELFOR 2020, Serbia, Belgrade, November 24-25, 2020. - M. Petrović,
**B. Banjac**, B. Malešević, R. Mijailović:*Curve fitting by multifocal ellipses in architectural structures geometry*, Proceedings of 5-th International Scientific Conference MoNGeometrija 2016, ISBN: 978-86-7466-614-2, Belgrade, 23-26. June 2016., pp 160-164. - V. Miler Jerković, M. Janković,
**B. Banjac**, B. Malešević, B. Mihailović:*Applications of the generalized {1,4}-inverse in restoration of blurred images*, Proceedings of 5-th International Scientific Conference MoNGeometrija 2016, ISBN: 978-86-7466-614-2, Belgrade, 23-26. June 2016., pp 62-68. - Zlokolica V., Velicki L.,
**Banjac B.**, Janev M., Krstanović L., Ralević N., Obradović R., Mihajlović B.:*3D Epicardial fat registration optimization based on structural prior knowledge and subjective-objective correspondence*, 15. IEEE International Conference on Bioinformatics and Bioengineering (BIBE), Beograd: IEEE, 2-4 Novembar, 2015 - Petrović M., Malešević B.,
**Banjac B.**:*SOME SURFACES OF SECOND ORDER AS EXAMPLES OF WEBER`S SURFACES*, 7. International Conference on Engineering Graphics and Design ICEGD, Brašov, 11-13 Jun, 2015 **Banjac B.**, Nenezić M., Malešević B.:*Some applications of Lambda-method for obtaining approximation in filter design*, 23. Telekomunikacioni forum TELFOR, Beograd, 24-26 Novembar, 2015, ISBN 978-1-5090-0054-8**Banjac B.**, Petrović M., Malešević B.:*Visualization of Weber’s curves and surfaces with applications in some optimization problems*, 22. Telekomunikacioni forum TELFOR, Beograd, 25-27 Novembar, 2014, pp. 1003-1006- Obradović R., Letić J., Vujanović M.,
**Banjac B.**, Kekeljević I., Dimitrijević M., Malešević B.:*DOMINANT PRE-EXAM OBLIGATIONS AS A BASIS FOR SUCCESSFUL STUDENTS WORK*, 4. moNGeometrija, Vlasina: Faculty of Civil engineering and Architecture in Niš, Serbian Society for Geometry and Graphics SUGIG, 20-22 Jun, 2014, pp. 337-347, ISBN 978-86-88601-14-6 **Banjac B.**, Nenezić M., Petrović M., Malešević B., Obradović R.:*TRIFOCAL CURVES IN MATLAB AND JAVA*, 4. moNGeometrija, Vlasina, 20-22 Jun, 2014, pp. 345-353, ISBN 978-86-88601-13-9- Petrović M., Malešević B.,
**Banjac B.**, Obradović R.:*GEOMETRY OF SOME TAXICAB CURVES*, 4. moNGeometrija, Vlasina, 20-22 Jun, 2014, pp. 53-64, ISBN 978-86-88601-14-6 - Malešević B., Petrović M.,
**Banjac B.**, Jovović I., Jovanović P.:*A METHOD FOR EXTRACTION OF ARCS OF THE ALGEBRAIC CURVES*, 4. moNGeometrija, Vlasina, 20-22 Jun, 2014, pp. 65-76, ISBN 978-86-88601-14-6 **Banjac B.**, Zlatković B., Zlokolica V., Velicki L., Čemerlić-Ađić N., Obradović R., Galić I.:*3D GROUND TRUTH HEART MODELING AND VISUALIZATION BASED ON MANUALLY SEGMENTED 4D CT SLICES*, 4. moNGeometrija, Vlasina: Faculty of Civil engineering and Architecture in Niš Serbian Society for Geometry and Graphics SUGIG, 20-22 Jun, 2014, pp. 199-206, ISBN 978-86-88601-13**Banjac B.**, Malešević B., Petrović M., Obradović M.:*A Computer Verification of a Conjecture About The Erdös-Mordell Curve*, TELFOR Journal, 2013, pp. 1031-1034, ISSN 1821-3251, 21. Telekomunikacioni forum TELFOR, Beograd: Faculty of Electrical Engineering, Belgrade, 26-28 Novembar, 2013, pp. 1031- 1034, ISBN 978-1-4799-1419-7- Sučević J., Jovanović Lj.,
**Banjac B.**:*Ispitivanje fleksibilnosti mentalne brojevne prave u zavisnosti od grafičkih svojstava zadatka*, 1. Naučno-stručni skup ,,Savremeni trendovi u psihologiji", Novi Sad, 11-13 Oktobar, 2013 - B. Malesevic, I. Jovovic,
**B. Banjac**:*Visualization in teaching and learning mathematics in elementary, secondary and higher education*, 4. International Conference on Engineering Graphics and Design ICEGD, Timisoara: Universităţii „POLITEHNICA“ din Timişoara, 13-15 Jun, 2013, pp. 37-40, UDK: ISSN 1224-6042 **Banjac B.**, Malešević B.:*One method for graphical representation of implicitly given surface*, 3. moNGeometrija, Novi Sad: Faculty of Technical Sciences, 21-24 Jun, 2012, pp. 179-187, ISBN 978-86-7892-405-7

- B. Malešević, R. Obradović,
**B. Banjac**, I. Jovović, M. Makragić,*“Application of polynomial texture mapping in process of digitalization of cultural heritage“*, Dvanaesta nacionalna konferencija sa međunarodnim učešćem "New Technologies and Standards: Digitization of National Heritage", October 31 - November 1, 2013, Belgrade, National Library of Serbia **Bojan Banjac**, Tatjana Lutovac,Branko Malešević:*"One method for prooving some classes of analytic inequalities"*,Approximation and Computation:Theory and Applications (ACTA 2017), Beograd, 30.11.-02.12.2017.,pp 12.

- Malešević B., Jovović I., Makragić M.,
**Banjac B.**, Katić V., Jovanović A., Pejović A.:*BUHBERGEROV ALGORITAM I VIZUELIZACIJA MONOMIJALNIH IDEALA*, 2. Simpozijum " Matematika i primene ", Beograd: Matematički fakultet, Univerzitet u Beogradu, 27-28 Maj, 2011, pp. 117-126, ISBN 978-86-7589-093-5 **Banjac B.**, Dimitrijević G., Obradović S., Ajduković N., Čampara M., Malešević B.:*PRIMENA GREBNEROVIH BAZA NA PROBLEM INVERZNE KINEMATIKE U ROBOTICI*, 3. Simpozijum " Matematika i primene ", Beograd: Univerzitet u Beogradu, Matematički fakultet, 25-26 Maj, 2012, pp. 135-144, ISBN 978-86-7589-096-6**B. Banjac**, T. Lutovac, B. Malešević, N. Marković:*KUZINA MINIMAKS APROKSIMACIJA*, 2nd Conference on Mathematics in Engineering: Theory and Applications – META 2017, Novi Sad, 23. - 24. Jun, 2017**B. Banjac**, T. Lutovac, B. Malešević:*O nekim nejednakostima koje se mogu svesti na dokazivanje miksovanih trigonometrijskih nejednakosti*, Proceedings of The First Conference on Mathematics in Engineering: Theory and Applications, FTN Novi Sad, pp. 30 - 34, ISBN 978-86-7892-800-9, Srbija, 4. - 6. Mar, 2016

- Malešević B., Obradović R.,
**Banjac B.**, Jovović I., Makragić M.:*Application of Polynomial Texture Mapping in Process of Digitalization of Cultural Heritage*, 12. NOVE TEHNOLOGIJE I STANDARDI: DIGITALIZACIJA NACIONALNE BAŠTINE, Beograd: National Library of Serbia, 31-1 Oktobar, 2013 **Banjac B.**, Lutovac T., Malešević B.:*O NEKIM NEJEDNAKOSTIMA KOJE SE MOGU SVESTI NA DOKAZIVANJE MIKSOVANIH TRIGONOMETRIJSKIH NEJEDNAKOSTI*, 1. Conference on Mathematics in Engineering: Theory and Applications, Novi Sad, 5-6 Mart, 2016- B. Malešević,
**B.Banjac**,M. Jovanović, N. Marković:*"Trodimenzionalna vizuelizacija modifikovanog modela Hajgensovog planetarijuma"*, Sedmi simpozijum "Matematika i primene", Matematički fakultet, Beograd, Srbija 4-5. Nov 2016. - Tatjana Lutovac, B. Malešević, M. Makragić,
**B. Banjac**, M. Nenezić:*One method for proving a class of trigonometric inequatilies*, XIII Srpski matematički kongres, Faculty of Sciences and Mathematics, University of Niš, pp. 30, 978-86-6275-026-6, Serbia, 22. - 25. May, 2014

**Banjac B.**, Malešević B., Petrović M.:*EMC software*, 2013

http://symbolicalgebra.etf.bg.ac.rs/Java-Applications/**Banjac B.**,Malešević B., Petrović M.:*3-Ellipses software*, 2013

http://symbolicalgebra.etf.bg.ac.rs/Java-Applications/**Banjac B.**,Malešević B., Petrović M.:*WeberCS-software*, 2015

http://symbolicalgebra.etf.bg.ac.rs/Java-Applications/-
**Banjac B.**:*IMP*, 2014

http://symbolicalgebra.etf.bg.ac.rs/bb_master/index.html -
**Banjac B.**:*VRBA*, 2014

http://symbolicalgebra.etf.bg.ac.rs/bb_master/index.html **Banjac B.**:*DEKOR*, 2014

http://symbolicalgebra.etf.bg.ac.rs/bb_master/index.html

- R. Obradović, B. Knežević, M. Vujanović, I. Kekeljević, N. Kuzmanović, N. Šunjka, B. Stajić, I. Vasiljević,
**B. Banjac**, J. Mijatov:*Head is not Dead*, CG animirani film u trajanju 8'8'', BANJALUKA 2017 International Animated Film Festival, 2017

- From 2010. to 2013. was engaged as demonstrator at Departmant of Applied Mathematics, School of Electrical engineering at University of Belgrade
- From 2011. was engaged as lecturer in programs of professional advancement "Vizuelno predstavljanje nekih matematičkih sadržaja pomoću računara" acredited by http://www.zuov.gov.rs/
- From 2013. engaged as teaching associate, teaching assistant and currently as Assistant professor at Computer graphics chair, Faculty of Technical Sciences, University of Novi Sad. I was engaged in teaching of following subjects:

- Design of spatial shapes
- 3D modelling
- Character animation
- Introduction to engineering animations
- Esthetic's of visual communications
- Introduction to informational technologies for computer animations
- Video for engineering animation
- Advanced presentation technologies
- Web design
- Color and lighting
- Generation of space based on images
- Advanced engineering animation
- Artificial intelligence
- Advanced methods for recording and analysis of movement

- Among other teaching duties I was engaged as system administrator at computer graphics chair laboratory
- From 2016. to 2020. was engaged as technical editor in international peer reviewed journal Aplicable Analysis and Discrete Mathematics (AADM)
- I am active member of Serbian society for geometry and graphics, as well as member of organizing committee of international conferences MoNGeometrija 2016 i MoNGeometrija 2020, and I was engaged in realisation of international conferenceMoNGeometrija 2018
- From 2019. I am owner and CEO of consultant agency "Digitalni mrav", which works in areas of computer technologies, applied mathematics, and professional advancement