Ciência ID: B113-5CDF-F72D

ORCID: 0000-0003-0909-5782

Brief CV: António Bandeira Araújo has a degree in Physics (1995) and a PhD in Mathematics from the Faculty of Sciences of the University of Lisbon (2011). He is an Assistant Professor at Universidade Aberta, where he has been lecturing since 2003.

Research Interests: He has been dividing his scientific research between two main areas within the study of geometry – in the field of pure mathematics, he studied the classification of legendrian curves and the desingularisation of lagrangian surfaces. Recently, he has devoted himself to the study of the application of geometry to visual arts, in particular to the study of the curvilinear perspectives and anamorphoses, both in the scope of classical techniques and in their relation with the algorithms and techniques of digital art. This research maintains a close connection with his parallel ongoing activities in the field of plastic arts and illustration. He is a member of both CIAC – Centre for Research in Arts and Communication (Universidade Aberta) and CMAF-CIO – Center for Mathematics, Fundamental Applications and Operations Research.

Latests Publications:

Araújo, A. B. (2020). A GeoGebra Tool for Drawing Immersive Perspectives. In B. M. Silva (Ed.), ARTeFACTo2020, International Conference on Digital Creation in Arts and Communication (pp. 155–160). Edições Centro de Investigação em Artes e Comunicação.

Araújo, A. B. (2020). Anamorphosis Reformed: From Optical Illusions to Immersive Perspectives. In Sriraman B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham.

Araújo, A. B. (2020). Dürer Machines Running Back and Forth. Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture (pp. 525–532), Tessellations Publishing

Araújo, A. B. (2020). Explorations in Rational Drawing. Journal of Mathematics and the Arts, 14(1–2), 4–7.

Araújo, A. B., (2020), Spherical Perspective Methods for Immersive Architectural Sketches , in As fórmulas na arquitectura / 4.º Seminário Internacional de Arquitectura e Matemática, (pp. 45-60), Univ. Lusiada Editora.

Araújo, A. B., Olivero, L. F., & Rossi, A. (2020). A Descriptive Geometry Construction of VR panoramas in Cubical Spherical Perspective. Diségno, 6, 35–46.

Azevedo, H., Araújo, A. B., (2020). Towards a Canon for Digital Human Anatomy 3D Modeling. In B. M. Silva (Ed.), ARTeFACTo2020, International Conference on Digital Creation in Arts and Communication (pp. 121–126). Edições Centro de Investigação em Artes e Comunicação.

Olivero, L., Rossi, A., Araújo, A., (2020), Applications of cubical perspective in architecture, engineering and product design, in As fórmulas na arquitectura / 4.º Seminário Internacional de Arquitectura e Matemática, (pp. 63-86), Univ. Lusiada Editora.

Araújo, A. B.; Olivero, L. F.; Rossi, A. (2019). Boxing the Visual Sphere: towards a systematic solution of the cubical perspective. In Congresso de la UID, 41, Perugia. p. 33–40. doi:10.36165/1004 

Araújo, A.;Serranho, P. (2019). On the use of quasi-equidistant source points over the sphere surface for the method of fundamental solutions, Journal of Computational and Applied Mathematics, Volume 359, Pages 55-68.

Araújo, A.B.. (2018). International Conference on Transdisciplinary Studies in Arts, Technology and Society. 1, Lisboa. “ARTeFACTo 2018 [Em linha]: proceedings”. Editado por Pedro Alves da Veiga; António Araújo; Adérito Marcos. [S.l.]: Artech-International, 2018. 136 p. ISBN 978-989-99370-7-9

Araújo, A, (2018). Ruler, compass, and nail: constructing a total spherical perspectiveJournal of Mathematics and the Arts. 12:2-3, 144-169,

Araújo, A. (2018). Drawing Equirectangular VR Panoramas with Ruler, Compass, and ProtractorJournal Of Science And Technology Of The Arts. 10(1), 15-27. doi:

Araújo, A.B.. (2018). Let’s Sketch in 360°: Spherical Perspectives for Virtual Reality Panoramas. In Proceedings of Bridges Stockholm. Eds. E. Torrence et al., Tesselations Publishing, pp. 637-644. (link).

Araújo, António (2017). Guidelines for Drawing Immersive Panoramas in Equirectangular Perspective, In Artech 2017, Macau, China, Proceedings of the 8th International Conference on Digital Arts, Carlos Caires et al (Eds.), ACM ISBN 978-1-4503-5273-4, pp.93-99.

Araújo, António (2017). Cardboarding Mixed Reality with Dürer Machines, In Proceedings of the 5th Conference on Computation, Communication, Aesthetics & X, Lisbon, 2017. URL:

Araújo, António (2017). Anamorphosis: Optical games with Perspective’s Playful Parent, In Proceedings of Recreational Mathematics Colloquium v – G4G (Europe), 2017, pp. 71–86.URL:

Araújo, A, Flores, M., Figueiredo, M.(2017). Anamorfoses e outras tecnologias imersivas no contexto da educação artística in Atas do II Colóquio – Desafios Curriculares e Pedagógicos na Formação de Professores, Eds. Maria Flores et al., Universidade do Minho, Instituto de Educação, Centro de Investigação em Estudos da Criança, pp.243-250 .

Araújo, A. (2017). “A geometria (descritiva) da anamorfose e das perspectivas curvilíneas”, Atas do Workshop “Matemática e Arte”, Eds. S. Vinagre e A. I. Santos, Sociedade Portuguesa de Matemática, pp. 15-22.

Araújo, António (2016). Topologia, Anamorfoses, e o bestiário das Perspectivas Curvilíneas, Convocarte (Faculdade de Belas Artes da Universidade de Lisboa), no. 2 (Setembro 2016): 51-69. URL:

Marcos A., Martins A., Saldanha A., Araújo A., et al. (2016) Enhancement of Russian Creative Education: new post-graduation programme, In digital art practice. Russian Creative Education in Digital Arts in line with EU standards, ISBN 978.587627-142-6, part 2, Ed. Sergei Kurasov, Moscovo, pgs. 26-42, 2016.

Fernandes-Marcos, A.; Martins, A.; Saldanha, A.; Araújo, A.; Carvalho, E.; Bidarra, J.; Coelho, J.; Shirley, P.; Veiga, P. (2016). Enhancement of Russian Creative Education: new post-graduation programme in digital art practice (Universidade Aberta, Portugal), in Russian Creative Education in Digital Arts in Line with EU Standards, Sergei Kurasov (Ed.), Moscow, 26-42, ISBN 978.587627-142-6.

Araújo, A., Neto, O. Limits of tangents of quasi-ordinary hypersurfaces, Proc. Am. Math. Soc., 141(1), Janeiro 2013, 1–11.