Professor Wojciech Chojnacki

Adjunct Professor

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

Publications
Contact

Journals

Year	Citation
2022	Bobrowski, A., & Chojnacki, W. (2022). Isolated points of spaces of homomorphisms from ordered AL-algebras. DISSERTATIONES MATHEMATICAE, 577, 4-69. DOI
2021	Chojnacki, W. (2021). A note on crossed products. Expositiones Mathematicae, 39(1), 115-128. DOI
2020	Chojnacki, W., Szpak, Z. L., & Wadenbäck, M. (2020). The equivalence of two definitions of compatible homography matrices. Pattern Recognition Letters, 135, 38-43. DOI Scopus2 WoS1
2019	Chojnacki, W., & Szpak, Z. L. (2019). Determining ellipses from low-resolution images with a comprehensive image formation model. Journal of the Optical Society of America A, 36(2), 212-233. DOI
2016	Chojnacki, W. (2016). Around Schwenninger and Zwart’s zero-two law for cosine families. Archiv der Mathematik, 106(6), 561-571. DOI Scopus3 WoS3
2015	Szpak, Z., Chojnacki, W., & van den Hengel, A. (2015). Guaranteed ellipse fitting with a confidence region and an uncertainty measure for centre, axes, and orientation. Journal of Mathematical Imaging and Vision, 52(2), 173-199. DOI Scopus37 WoS32
2015	Chojnacki, W. (2015). On cosine families close to scalar cosine families. Journal of the Australian Mathematical Society, 99(2), 166-174. DOI Scopus10 WoS9
2015	Chojnacki, W., Szpak, Z., Brooks, M., & van Den Hengel, A. (2015). Enforcing consistency constraints in uncalibrated multiple homography estimation using latent variables. Machine Vision and Applications, 26(2-3), 401-422. DOI Scopus5 WoS4
2015	Bobrowski, A., Chojnacki, W., & Gregosiewicz, A. (2015). On close-to-scalar one-parameter cosine families. Journal of Mathematical Analysis and Applications, 429(1), 383-394. DOI Scopus9 WoS8
2014	Quoc, H., Chin, T., Chojnacki, W., & Suter, D. (2014). Sampling minimal subsets with large spans for robust estimation. International Journal of Computer Vision, 106(1), 93-112. DOI Scopus26 WoS25
2014	Szpak, Z., Chojnacki, W., Eriksson, A., & van den Hengel, A. (2014). Sampson distance based joint estimation of multiple homographies with uncalibrated cameras. Computer Vision and Image Understanding, 125, 200-213. DOI Scopus20 WoS17
2013	Bobrowski, A., & Chojnacki, W. (2013). Cosine families and semigroups really differ. Journal of Evolution Equations, 13(4), 897-916. DOI Scopus10 WoS9
2013	Bobrowski, A., & Chojnacki, W. (2013). Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space. Studia Mathematica, 217(3), 219-241. DOI Scopus12 WoS11
2013	Chojnacki, W., & Van Den Hengel, A. (2013). On the dimension of the set of two-view multi-homography matrices. Complex Analysis and Operator Theory, 7(2), 465-484. DOI Scopus4 WoS5
2011	Chojnacki, W. (2011). On uniformly bounded spherical functions in Hilbert space. Aequationes Mathematicae, 81(1-2), 135-154. DOI Scopus5 WoS4
2010	Chojnacki, W. (2010). On operator-valued cosine sequences on UMD spaces. Studia Mathematica, 199(3), 267-278. DOI Scopus5 WoS5
2009	Chojnacki, W., & Brooks, M. (2009). A note on the locally linear embedding algorithm. International Journal of Pattern Recognition and Artificial Intelligence, 23(8), 1739-1752. DOI Scopus12 WoS5
2008	Chojnacki, W. (2008). Some monotonicity and limit results for the regularised incomplete gamma function. Annales Polonici Mathematici, 94(3), 283-291. DOI WoS3
2008	Scoleri, T., Chojnacki, W., & Brooks, M. (2008). Dimensionality reduction for more stable vision parameter estimation. IET Computer Vision, 2(4), 218-227. DOI
2007	Chojnacki, W. (2007). On group decompositions of bounded cosine sequences. Studia Mathematica, 181(1), 61-85. DOI Scopus15 WoS9
2007	Chojnacki, W., & Brooks, M. (2007). On the consistency of the normalized eight-point algorithm. Journal of Mathematical Imaging and Vision, 28(1), 19-27. DOI Scopus8 WoS7
2007	Baron, K., Chojnacki, W., & Jarczyk, W. (2007). Continuity of solutions of the translation equation. Aequationes Mathematicae, 74(3), 314-317. DOI Scopus7
2005	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2005). FNS, CFNS and HEIV: A unifying approach. Journal of Mathematical Imaging and Vision, 23(2), 175-183. DOI Scopus28 WoS19
2004	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2004). From FNS to HEIV: A link between two vision parameter estimation methods. IEEE Transactions on Pattern Analysis and Machine Intelligence, 26(2), 264-268. DOI Scopus28 WoS24 Europe PMC2
2004	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2004). A new constrained parameter estimator for computer vision applications. Image and Vision Computing, 22(2), 85-91. DOI Scopus34 WoS24
2003	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2003). Revisiting Hartley's normalized eight-point algorithm. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(9), 1172-1177. DOI Scopus58 WoS45
2002	Chojnacki, W. (2002). A generalization of the Widder-Arendt theorem. Proceedings of the Edinburgh Mathematical Society, 45(1), 161-179. DOI Scopus7 WoS7
2001	Chojnacki, W., Brooks, M., & Van Den Hengel, A. (2001). Rationalising the renormalisation method of Kanatani. Journal of Mathematical Imaging and Vision, 14(1), 21-38. DOI Scopus43 WoS35
2000	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2000). On the fitting of surfaces to data with covariances. IEEE Transactions on Pattern Analysis and Machine Intelligence, 22(11), 1294-1303. DOI Scopus143 WoS114
2000	Kanatani, K., Shimizu, Y., Ohta, N., Brooks, M., Chojnacki, W., & Van Den Hengel, A. (2000). Fundamental matrix from optical flow: optimal computation and reliability evaluation. Journal of Electronic Imaging, 9(2), 194-202. DOI Scopus11 WoS8
1999	Chojnacki, W. (1999). A characterisation of the circle group. Collectanea Mathematica, 50(3), 303-310.
1999	Chojnacki, W. (1999). Multiplier algebras, Banach bundles, and one-parameter semigroups. Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, Serie 4, 28(2), 287-322. Scopus13
1998	Chojnacki, W., & Kisynski, J. (1998). On the Favard classes of semigroups associated with pseudo-resolvents. Acta Scientiarum Mathematicarum, 64(3-4), 681-696.
1998	Chojnacki, W., Brooks, M., & Gibbins, D. (1998). On the feasibility of determining light-source direction from an image. Quarterly of Applied Mathematics, 56(2), 289-307. DOI
1998	Chojnacki, W. (1998). On the Equivalence of a Theorem of Kisynski and the Hille-Yosida Generation Theorem. Proceedings of the American Mathematical Society, 126(2), 491-497. DOI Scopus10 WoS9
1998	Chojnacki, W. (1998). A new proof of a theorem concerning decomposable groups. Glasnik Matematicki, 33(1), 13-17.
1997	Brooks, M., Chojnacki, W., & Baumela, L. (1997). Determining the egomotion of an uncalibrated camera from instantaneous optical flow. Journal of the Optical Society of America A, 14(10), 2670-2677. DOI Scopus35 WoS29
1997	Chojnacki, W., Brooks, M., & Gibbins, D. (1997). Can the Sun's Direction be Estimated from an Image Prior to the Computation of Object Shape?. Journal of Mathematical Imaging and Vision, 7(2), 139-147. DOI Scopus4 WoS3
1996	Chojnacki, W. (1996). Group representations of bounded cosine functions. Journal für die reine und angewandte Mathematik, 478(478), 61-84. DOI Scopus16 WoS14
1995	Chojnacki, W. (1995). A note on complete integrals. Proceedings of the American Mathematical Society, 123(2), 393-401. DOI Scopus2 WoS2
1994	Chojnacki, W., Brooks, M. J., & Gihhins, D. (1994). Revisiting pentland’s estimator of light source direction. Journal of the Optical Society of America A: Optics and Image Science, and Vision, 11(1), 118-124. DOI Scopus31 WoS27
1992	Brooks, M. J., Chojnacki, W., & Kozera, R. (1992). Impossible and ambiguous shading patterns. International Journal of Computer Vision, 7(2), 119-126. DOI Scopus33 WoS29
1992	Brooks, M. J., Chojnacki, W., & Kozera, R. (1992). Circularly symmetric eikonal equations and non-uniqueness in computer vision. Journal of Mathematical Analysis and Applications, 165(1), 192-215. DOI Scopus14 WoS14
1992	BROOKS, M. J., CHOJNACKI, W., & KOZERA, R. (1992). SHADING WITHOUT SHAPE. QUARTERLY OF APPLIED MATHEMATICS, 50(1), 27-38. DOI WoS16
1992	Chojnacki, W. (1992). A generalized spectral duality theorem. Communications in Mathematical Physics, 143(3), 527-544. DOI Scopus9 WoS6
1991	Chojnacki, W. (1991). Eigenvalues of almost periodic Schrödinger operators in L<sup>2</sup>(bℝ) are at most double. Letters in Mathematical Physics, 22(1), 7-10. DOI Scopus6 WoS5
1991	Chojnacki, W. (1991). Lifting Fourier-Stieltjes transforms and transferring cocycles. Hokkaido Mathematical Journal, 20(3), 503-518. DOI
1991	GIBBINS, D., BROOKS, M. J., & CHOJNACKI, W. (1991). LIGHT-SOURCE DIRECTION FROM A SINGLE IMAGE - A PERFORMANCE ANALYSIS. AUSTRALIAN COMPUTER JOURNAL, 23(4), 165-174. WoS4
1990	Chojnacki, W. (1990). On some totally ergodic functions. Pacific Journal of Mathematics, 144(1), 1-14. DOI Scopus1 WoS2
1988	Chojnacki, W. (1988). On some holomorphic dynamical systems. Quarterly Journal of Mathematics, 39(2), 159-172. DOI Scopus1 WoS1
1988	Chojnacki, W. (1988). Some non-trivial cocycles. Journal of Functional Analysis, 77(1), 9-31. DOI Scopus3 WoS2
1987	Chojnacki, W. (1987). Cocycles and Almost Periodicity. Journal of the London Mathematical Society, s2-35(1), 98-108. DOI Scopus1 WoS1
1986	Chojnacki, W. (1986). Almost periodic Schrödinger operators in L<sup>2</sup>(bR) whose point spectrum is not all of the spectrum. Journal of Functional Analysis, 65(2), 236-242. DOI Scopus5 WoS4
1986	CHOJNACKI, W. (1986). BOUNDED HILBERT COSINUS FUNCTIONS IN COMMUTATIVE LOCALLY-COMPACT GROUPS. COMPOSITIO MATHEMATICA, 57(1), 15-60. WoS12

Book Chapters

Year	Citation
1995	Gibbins, D., Brooks, M., & Chojnacki, W. (1995). Determining light-source direction from images of shading. In Perspectives on cognitive science: theories, experiments, and foundations (pp. 127-144). Ablex Publishing Corporation.

Conference Papers

Year	Citation
2019	Chojnacki, W., & Szpak, Z. L. (2019). Full explicit consistency constraints in uncalibrated multiple homography estimation. In Proceedings of the 14th Asian Conference on Computer Vision (ACCV 2018), as published in Lecture Notes in Computer Science Vol. 11361 (pp. 659-675). Cham, Switzerland: Springer. DOI Scopus1
2018	Chojnacki, W., & Szpak, Z. L. (2018). Full Explicit Consistency Constraints in Uncalibrated Multiple Homography Estimation.. In C. V. Jawahar, H. Li, G. Mori, & K. Schindler (Eds.), ACCV (1) Vol. 11361 (pp. 659-675). Springer.
2015	Szpak, Z., Chojnacki, W., & Van Den Hengel, A. (2015). Robust multiple homography estimation: an ill-solved problem. In Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition Vol. 07-12-June-2015 (pp. 2132-2141). Boston, MA: IEEE. DOI Scopus15 WoS12
2015	Faulkner, H., Shehu, E., Szpak, Z., Chojnacki, W., Tapamo, J., Dick, A., & Van Den Hengel, A. (2015). A study of the region covariance descriptor: impact of feature selection and image transformations. In Proceedings of the International Conference on Digital Image Computing: Techniques and Applications (pp. 1-8). Adelaide, SA.: IEEE. DOI Scopus6
2015	Chojnacki, W., Fabich, S., & Rutkowski, T. (2015). The construction of shafts in the copper fields in the conditions of the fore-sudetic monocline as exemplified by the SW-4 shaft. In Vertical and Decline Shaft Sinking - Proceedings of the International Mining Forum 2015 (pp. 115-130). CRC Press. DOI
2012	Szpak, Z., Chojnacki, W., & Van Den Hengel, A. (2012). A comparison of ellipse fitting methods and implications for multiple-view geometry estimation. In Proceedings of Digital Image Computing Techniques and Applications, DICTA 2012 (pp. 1-8). USA: IEEE. DOI Scopus10
2012	Szpak, Z., Chojnacki, W., & Van Den Hengel, A. (2012). Guaranteed ellipse fitting with the Sampson distance. In Proceedings of the12th European Conference on Computer Vision, ECCV 2012 Vol. 7576 LNCS (pp. 87-100). Germany: Springer-Verlag. DOI Scopus40 WoS28
2011	Chojnacki, W., & Van Den Hengel, A. (2011). A dimensionality result for multiple homography matrices. In 2011 IEEE International Conference on Computer Vision (pp. 2104-2109). 345 E 47TH ST, NEW YORK, NY 10017 USA: IEEE. DOI Scopus5 WoS4
2010	Chojnacki, W., Szpak, Z., Brooks, M., & Van Den Hengel, A. (2010). Multiple homography estimation with full consistency constraints. In Proceedings of DICTA 2010 (pp. 480-485). USA: IEEE. DOI Scopus10
2009	Chojnacki, W., Hill, R., Van Den Hengel, A., & Brooks, M. (2009). Multi-projective Parameter Estimation for Sets of Homogeneous Matrices. In Proceedings of 2009 Digital Image Computing: Techniques and Applications (pp. 119-124). California: IEEE. DOI Scopus2 WoS1
2007	Chojnacki, W., & Brooks, M. (2007). A consistency result for the normalized eight-point algorithm. In Rita Cucchiara (Ed.), Proceedings of the 14th International Conference on Image Analysis and Processing (pp. 1-6). USA: IEEE. DOI
2007	Scoleri, T., Chojnacki, W., & Brooks, M. (2007). A decoupled algorithm for vision parameter estimation with application to the trifocal tensor. In M. Bottema (Ed.), Proceedings of DICTA 2007 (pp. 138-143). CDROM: IEEE. DOI Scopus2
2007	Van Den Hengel, A., Chojnacki, W., & Brooks, M. (2007). Determining the translational speed of a camera from time-varying optical flow. In B. Jahne (Ed.), Complex motion [electronic resource]: first international workshop, IWCM 2004, Gunzburg, Germany, October 12-14, 2004: revised papers Vol. 3417 LNCS (pp. 1-8). Germany: Springer. DOI Scopus2 WoS2
2007	Chojnacki, W., van den Hengel, A., & Brooks, M. J. (2007). Generalised Principal Component Analysis: exploiting inherent parameter constraints. In J. Braz, A. Ranchordas, H. Araujo, & J. Jorge (Eds.), Advances in computer graphics and computer vision: International Conferences VISAPP and GRAPP 2006 Vol. 4 CCIS (pp. 217-228). Setubal, Portugal: Springer. DOI Scopus2 WoS1
2006	Chojnacki, W., Van Den Hengel, A., & Brooks, M. (2006). Constrained generalised principal component analysis. In A. Ranchordas, H. Araujo, & B. Encarnacao (Eds.), Proceedings of VISAPP 2006 Vol. 1 (pp. CDROM206-CDROM212). CDROM: INSTICC.
2005	Scoleri, T., Chojnacki, W., & Brooks, M. (2005). A multi-objective parameter estimator for image mosaicing. In A. Bouzerdoum, & A. Beghdadi (Eds.), Proceedings of the 8th International Symposium on Signal Processing and its Applications Vol. 2 (pp. 551-554). USA: IEEE. DOI Scopus10 WoS4
2003	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2003). FNS, CFNS, and HEIV: extending three vision parameter estimation methods. In C. Sun, H. Talbot, S. Ourselin, & T. Adriaansen (Eds.), Digital Image Computing: Techniques and Applications - Proceedings of the VIIth Biennial Australian Pattern Recognition Society Conference - DICTA 2003 (pp. 449-458). Victoria, Australia: CSIRO Publishing.
2003	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2003). FNS and HEIV: relating two vision parameter estimation frameworks. In M. Feretti (Ed.), Proceedings of the 12th International Conference on Image Analysis and Processing 2003 (pp. 152-157). California, USA: IEEE. DOI Scopus2 WoS2
2003	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2003). A statistical rationalisation of Hartley's normalised eight-point algorithm. In M. Feretti (Ed.), Proceedings of the 12th International Conference on Image Analysis and Processing 2003 (pp. 334-339). California, USA: IEEE. DOI Scopus4
2003	Pooley, D., Brooks, M., Van Den Hengel, A., & Chojnacki, W. (2003). A voting scheme for estimating the synchrony of moving-camera videos. In L. Torres (Ed.), Proceedings of the 2003 IEEE International Conference on Image Processing Vol. 1 (pp. CDROM 1-CDROM 4). CDROM: IEEE. DOI Scopus20 WoS11
2002	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2002). A new approach to constrained parameter estimation applicable to some computer vision problems. In D. Suter (Ed.), Proceedings of the Statistical Methods in Video Processing Workshop (pp. 43-48). Victoria, Australia: Monash University.
2002	Van Den Hengel, A., Chojnacki, W., Brooks, M., & Gawley, D. (2002). A new constrained parameter estimator: experiments in fundamental matrix computation. In P. L. Rosin, & D. Marshall (Eds.), Proceedings of the 13th British Machine Vision Conference (BMVC 2002) (pp. 468-476). UK: British Machine Vision Association. DOI
2001	Brooks, M., Chojnacki, W., Gawley, D., & Van Den Hengel, A. (2001). Is covariance information useful in estimating vision parameters?. In S. El-Hakim, & A. Gruen (Eds.), Proceedings of SPIE - The International Society for Optical Engineering Vol. 4309 (pp. 195-203). PO BOX 10 BELLINGHAM WASHINGTON USA: THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS. DOI
2001	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2001). A fast MLE-based method for estimating the fundamental matrix. In P. Pitas (Ed.), Proceedings of the International Conference on Image Processing Vol. 2 (pp. CDROM 1-CDROM 4). CD-ROM: THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS. DOI Scopus2
2001	Brooks, M., Chojnacki, W., Gawley, D., & Van Den Hengel, A. (2001). What value covariance information in estimating vision parameters?. In Bob Werner (Ed.), Proceedings of the Eighth IEEE International Conference on Computer Vision Vol. 1 (pp. 302-308). LOS ALAMITOS, CALIFORNIA, USA: IEEE COMPUTER SOCIETY. DOI Scopus46 WoS32
2001	Chojnacki, W., Brooks, M. J., Hengel, A. V. D., & Gawley, D. (2001). A fast MLE-based method for estimating the fundamental matrix.. In ICIP (2) (pp. 189-192). IEEE.
2000	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2000). Estimating vision parameters given data with covariances. In M. Mirmehdi, & B. Thomas (Eds.), Proceedings of the 11th British Machine Vision Conference 2000 (pp. 182-191). Bristol, UK: ILES Central Press.
2000	Chojnacki, W., Brooks, M., & Van Den Hengel, A. (2000). A simplified treatment of Kanatani's renormalisation method. In J. Wang (Ed.), Proceedings of ICARV 2000 - Sixth International Conference on Control, Automation, Robotics and Vision (pp. CD). Singapore: School of Electrical & Electronic Engineering, NTU.
2000	Chojnacki, W., Brooks, M., & Van Den Hengel, A. (2000). A framework for understanding renormalisation-type methods in computer vision. In J. Blanc Talon, D. Popescu, & G. Lasker (Eds.), Proceedings of Advanced Concepts for Intelligent Vision Systems ACIVS - 2000 (pp. 13-19). Ontario, Canada: The International Institute for Advanced Studies in Systems Research and Cybernetics.
2000	Chojnacki, W., Brooks, M., Van Den Hengel, A., & Gawley, D. (2000). A fast MLE-based method for estimating the fundamental matrix. In C. Sun, P. Ogunbona, W. Li, & R. Beare (Eds.), Proceedings of APRS/IEEE Workshop on Stereo Image and Video Processing (pp. 33-36). Australia: Australian Pattern Recognition Society.
1998	Brooks, M. J., Chojnacki, W., Dick, A., van den Hengel, A., Kanatani, K., & Ohta, N. (1998). Incorporating optical flow uncertainty information into a self-calibration procedure for a moving camera. In S. F. ElHakim, & A. Gruen (Eds.), Proceedings of SPIE Vol. 3641 Videometrics VI (pp. 183-192). San Jose, CA: SPIE. DOI Scopus1
1998	Brooks, M. J., Chojnacki, W., van den Hengel, A., & Baumela, L. (1998). Robust techniques for the estimation of structure from motion in the uncalibrated case. In H. Burkhardt, & B. Neumann (Eds.), Computer Vision - ECCV'98: proceedings vol.1 Vol. 1406 (pp. 281-295). Freiburg, Germany: Springer. DOI Scopus3
1997	Brooks, M. J., Baumela, L., & Chojnacki, W. (1997). Egomotion from optical flow with an uncalibrated camera. In J. Biemond, & E. J. Delp (Eds.), Proceedings of SPIE - The International Society for Optical Engineering Vol. 3024 (pp. 220-228). SAN JOSE, CA: SPIE - INT SOC OPTICAL ENGINEERING. DOI Scopus2 WoS2
1995	Brooks, M. J., Chojnacki, W., & van den Hengel, A. (1995). Solving the shape-from-shading problem on the CM-5. In Proceedings: CAMP '95 Conference on Computer Architectures for Machine Perception (pp. 196-201). Como, Italy: IEEE. DOI
1994	Brooks, M. J., & Chojnacki, W. (1994). Direct Computation of Shape from Shading. In Proceedings - International Conference on Pattern Recognition Vol. 1 (pp. 114-119). JERUSALEM, ISRAEL: I E E E, COMPUTER SOC PRESS. DOI Scopus15 WoS8

Position: Adjunct Professor
Phone: 83135763
Email: wojciech.chojnacki@adelaide.edu.au
Fax: 83134366
Campus: Lot 14
Building: Australian Institute for Machine Learning Building, floor Ground Floor
Room: G.09
Org Unit: School of Computer and Mathematical Sciences

Professor Wojciech Chojnacki

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