Dr. ir. L. (Leo) Dorst
Faculty of Science
Informatics Institute
Visiting address
- Science Park 904
- Room number: L4.53
Postal address
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Postbus 94323
1090 GH Amsterdam
Contact details
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Publications
2024
- Dorst, L. (2024). Paraxial Geometric Optics in 3D through Point-based Geometric Algebra. In B. Sheng, L. Bi, J. Kim, N. Magnenat-Thalmann, & D. Thalmann (Eds.), Advances in Computer Graphics: 40th Computer Graphics International Conference, CGI 2023, Shanghai, China, August 28–September 1, 2023 : proceedings (Vol. IV, pp. 340-354). (Lecture Notes in Computer Science; Vol. 14498). Springer. https://doi.org/10.1007/978-3-031-50078-7_27 [details]
2023
- Dorst, L. (2023). Complementary Orientations in Geometric Algebras. In E. Hitzer, G. Papagiannakis, & P. Vasik (Eds.), Empowering Novel Geometric Algebra for Graphics and Engineering : 7th International Workshop, ENGAGE 2022, virtual event, September 12, 2022 : proceedings (pp. 54-66). (Lecture Notes in Computer Science; Vol. 13862). Springer. https://doi.org/10.1007/978-3-031-30923-6_5 [details]
- Dorst, L. (2023). Projective Duality Encodes Complementary Orientations in Geometric Algebras. Mathematical Methods in the Applied Sciences. Advance online publication. https://doi.org/10.1002/mma.9754
Groenendijk, R., Dorst, L., & Gevers, T. (2023). Geometric Back-Propagation in Morphological Neural Networks. IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(11), 14045-14051. https://doi.org/10.1109/TPAMI.2023.3290615 [details]
2022
- ElNaghy, H., & Dorst, L. (2022). Pairwise Alignment of Archaeological Fragments Through Morphological Characterization of Fracture Surfaces. International Journal of Computer Vision, 130(9), 2184–2204. https://doi.org/10.1007/s11263-022-01635-3 [details]
- Groenendijk, R. W., Dorst, L., & Gevers, T. (2022). MorphPool: Efficient Non-linear Pooling & Unpooling in CNNs. In British Machine Vision Conference (BMVC) 2022 BMVA Press. https://doi.org/10.48550/arXiv.2211.14037
2021
- Dorst, L. (2021). Optimal Combination of Orientation Measurements Under Angle, Axis and Chord Metrics. In S. Xambó-Descamps (Ed.), Systems, patterns and data engineering with geometric calculi (pp. 47-88)
- Hrdina, J., Návrat, A., Vašík, P., & Dorst, L. (2021). Projective Geometric Algebra as a Subalgebra for Conformal Geometric Algebra. Advances in Applied Clifford Algebras, 31(2), Article 18. Advance online publication. https://doi.org/10.1007/s00006-021-01118-7 [details]
2020
- De Keninck, S., & Dorst, L. (2020). Hyperwedge. In N. Magnenat-Thalmann, C. Stephanidis, E. Wu, D. Thalmann, B. Sheng, J. Kim, G. Papagiannakis, & M. Gavrilova (Eds.), Advances in Computer Graphics: 37th Computer Graphics International Conference, CGI 2020, Geneva, Switzerland, October 20–23, 2020 : proceedings (pp. 549-554). (Lecture Notes in Computer Science; Vol. 12221). Springer. https://doi.org/10.1007/978-3-030-61864-3_47 [details]
- ElNaghy, H., & Dorst, L. (2020). Boundary Morphology for Hierarchical Simplification of Archaeological Fragments. Mathematical Morphology - Theory and Applications (MMTA), 4, 46-63. https://doi.org/10.1515/mathm-2020-0101 [details]
2019
- De Keninck, S., & Dorst, L. (2019). Geometric Algebra Levenberg-Marquardt. In M. Gavrilova, J. Chiang, N. Magnenat Thalmann, E. Hitzer, & H. Ishikawa (Eds.), Advances in Computer Graphics: 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17–20, 2019 : proceedings (pp. 511-522). (Lecture Notes in Computer Science; Vol. 11542). Springer. https://doi.org/10.1007/978-3-030-22514-8_51 [details]
- Dorst, L. (2019). Boolean Combination of Circular Arcs using Orthogonal Spheres. Advances in Applied Clifford Algebras, 29(3), Article 41. Advance online publication. https://doi.org/10.1007/s00006-019-0959-y [details]
- Dorst, L. (2019). Conformal Villarceau Rotors. Advances in Applied Clifford Algebras, 29(3), Article 44. Advance online publication. https://doi.org/10.1007/s00006-019-0960-5 [details]
- ElNaghy, H., & Dorst, L. (2019). Complementarity-Preserving Fracture Morphology for Archaeological Fragments. In B. Burgeth, A. Kleefeld, B. Naegel, N. Passat, & B. Perret (Eds.), Mathematical Morphology and Its Applications to Signal and Image Processing: 14th International Symposium, ISMM 2019, Saarbrücken, Germany, July 8-10, 2019 : proceedings (pp. 403-414). ( Lecture Notes in Computer Science; Vol. 11564). Springer. https://doi.org/10.1007/978-3-030-20867-7_31 [details]
2018
- ElNaghy, H., & Dorst, L. (2018). Using Mathematical Morphology to Simplify Archaeological Fracture Surfaces. In T. Ju, & A. Vaxman (Eds.), Geometry Processing 2018 - Symposium Proceedings - Posters: Paris, France, July 7-11, 2018 (pp. 3-4). (Eurographics Symposium on Geometry Processing; Vol. SGP18). The Eurographics Association. https://doi.org/10.2312/sgp.20181179 [details]
2017
- ElNaghy, H., & Dorst, L. (2017). Geometry Based Faceting of 3D Digitized Archaeological Fragments. In 2017 IEEE International Conference on Computer Vision Workshops : ICCVW 2017: 22-29 October 2017, Venice, Italy : proceedings (pp. 2934-2942). IEEE. https://doi.org/10.1109/ICCVW.2017.346 [details]
2016
- Dorst, L. (2016). 3D Oriented Projective Geometry Through Versors of R(3,3). Advances in Applied Clifford Algebras, 26(4), 1137-1172. Advance online publication. https://doi.org/10.1007/s00006-015-0625-y [details]
- Dorst, L. (2016). The Construction of 3D Conformal Motions. Mathematics in Computer Science, 10(1), 97-113. https://doi.org/10.1007/s11786-016-0250-8 [details]
- Philips, S. C., Walland, P. W., Modafferi, S., Dorst, L., Spagnuolo, M., Catalano, C. E., Oldman, D., Tal, A., Shimshoni, I., & Hermon, S. (2016). GRAVITATE: Geometric and Semantic Matching for Cultural Heritage Artefacts. In C. E. Catalano, & L. De Luca (Eds.), Eurographics Workshop on Graphics and Cultural Heritage (pp. 199-202). (GCH; Vol. 2016). The Eurographics Association. https://doi.org/10.2312/gch.20161407 [details]
2014
- Dorst, L. (2014). Geometric algebra. In K. Ikeuchi (Ed.), Computer vision: a reference guide (pp. 329-333). Springer. https://doi.org/10.1007/978-0-387-31439-6_656 [details]
2012
- Dubbelman, G., Dorst, L., & Pijls, H. (2012). Manifold statistics for essential matrices. In A. Fitzgibbon, S. Lazebnik, P. Perona, Y. Sato, & C. Schmid (Eds.), Computer Vision – ECCV 2012: 12th European Conference on Computer Vision, Florence, Italy, October 7-13, 2012 : proceedings (Vol. 2, pp. 531-544). (Lecture Notes in Computer Science; Vol. 7573). Springer. https://doi.org/10.1007/978-3-642-33709-3_38 [details]
2011
- Dorst, L. (2011). Tutorial appendix: structure preserving representation of euclidean motions through conformal geometric algebra. In L. Dorst, & J. Lasenby (Eds.), Guide to Geometric Algebra in Practice (pp. 435-452). Springer. https://doi.org/10.1007/978-0-85729-811-9_21 [details]
- Dorst, L., & Valkenburg, R. J. (2011). Square root and logarithm of rotors in 3D conformal geometric algebra using polar decomposition. In L. Dorst, & J. Lasenby (Eds.), Guide to Geometric Algebra in Practice (pp. 25-46). Springer. https://doi.org/10.1007/978-0-85729-811-9_5 [details]
- Fontijne, D., & Dorst, L. (2011). Reconstructing rotations and rigid body motions from exact point correspondences through reflections. In L. Dorst, & J. Lasenby (Eds.), Guide to Geometric Algebra in Practice (pp. 63-78). Springer. https://doi.org/10.1007/978-0-85729-811-9_4 [details]
- Valkenburg, R., & Dorst, L. (2011). Estimating motors from a variety of geometric data in 3D conformal geometric algebra. In L. Dorst, & J. Lasenby (Eds.), Guide to Geometric Algebra in Practice (pp. 81-104). Springer. https://doi.org/10.1007/978-0-85729-811-9_2 [details]
2010
- Dorst, L. (2010). Tutorial: Structure-preserving representation of Euclidean motions through conformal geometric algebra. In E. Bayro-Corrochano, & G. Scheuermann (Eds.), Geometric algebra computing in engineering and computer science (pp. 35-52). Springer. https://doi.org/10.1007/978-1-84996-108-0_2 [details]
- Esteban, I., Dorst, L., & Dijk, J. (2010). Closed form solution for the scale ambiguity problem in monocular visual odometry. In H. Liu, H. Ding, Z. Xiong, & X. Zhu (Eds.), Intelligent Robotics and Applications: Third International Conference, ICIRA 2010, Shanghai, China, November 10-12, 2010 : proceedings (Vol. 1, pp. 665-679). (Lecture Notes in Computer Science; Vol. 6424), (Lecture Notes in Artificial Intelligence). Springer. https://doi.org/10.1007/978-3-642-16584-9_64 [details]
- Fontijne, D., & Dorst, L. (2010). Efficient algorithms for factorization and join of blades. In E. Bayro-Corrochano, & G. Scheuermann (Eds.), Geometric algebra computing : in engineering and computer science (pp. 457-476). Springer. https://doi.org/10.1007/978-1-84996-108-0_21 [details]
2009
- Cibura, C., & Dorst, L. (2009). From exact correspondence data to conformal transformations in closed form using Vahlen matrices. In V. Skala, & D. Hildenbrand (Eds.), GraVisMa 2009 workshop proceedings (pp. 58-65). Union Agency. http://gravisma.zcu.cz/GraVisMa-2009/Papers_2009/!_2009_GraVisMa_proceedings-FINAL.pdf [details]
- Dorst, L. (2009). Conformal geometric algebra by extended Vahlen matrices. In V. Skala, & D. Hildenbrand (Eds.), GraVisMa 2009 workshop proceedings (pp. 72-79). Union Agency. http://gravisma.zcu.cz/GraVisMa-2009/Papers_2009/!_2009_GraVisMa_proceedings-FINAL.pdf [details]
- Dorst, L. (2009). Determining a versor in n-D geometric algebra from the known transformation of n vectors. In V. Skala, & D. Hildenbrand (Eds.), GraVisMa 2009 workshop proceedings (pp. 66-71). Union Agency. http://gravisma.zcu.cz/GraVisMa-2009/Papers_2009/!_2009_GraVisMa_proceedings-FINAL.pdf [details]
2008
- Ohnishi, N., Kameda, Y., Imiya, A., Dorst, L., & Klette, R. (2008). Dynamic multiresolution optical flow computation. In G. Sommer, & R. Klette (Eds.), Robot Vision: Second International Workshop, RobVis 2008, Auckland, New Zealand, February 18-20, 2008 : proceedings (pp. 1-15). (Lecture Notes in Computer Science; Vol. 4931). Springer. https://doi.org/10.1007/978-3-540-78157-8_1 [details]
2012
- Dorst, L., Doran, C., & Lasenby, J. (Eds.) (2012). Applications of Geometric Algebra in Computer Science and Engineering. (Softcover reprint ed.) Springer Science+Business Media. https://doi.org/10.1007/978-1-4612-0089-5 [details]
2011
- Dorst, L., & Lasenby, J. (2011). Guide to geometric algebra in practice. Springer. https://doi.org/10.1007/978-0-85729-811-9 [details]
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Ancillary activities
- No ancillary activities
Groenendijk, R., Dorst, L., & Gevers, T. (2023). Geometric Back-Propagation in Morphological Neural Networks. IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(11), 14045-14051.