Abstract
This paper describes the use of shape-from-shading for face recognition. We apply shape-from-shading to tightly cropped face images to extract fields of surface normals or needle maps. From the surface normal information, we make estimates of curvature attributes. The quantities studied include minimum and maximum curvature, mean and Gaussian curvature, and, curvedness and shape index. These curvature attributes are encoded as histograms. We perform recognition by comparing the histogram bin contents using a number of distance and similarity measures including the Euclidean distance, the Shannon entropy, the Renyi entropy and the Tsallis entropy. We compare the results obtained using the different curvature attributes and the different entropy measurements.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dorai, C., Jain, A.K.: Cosmos - a representation scheme for free form surfaces. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) 19(10), 1115–1130 (1997)
Gimel’farb, G.L., Jain, A.K.: On retrieving textured images from an image database. Pattern Recognition 29(9), 1461–1483 (1996)
Gordon, G.: Face recognition based on depth and curvature features. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Champaign, Illinois, USA, June 1992, pp. 108–110 (1992)
Huet, B., Hancock, E.R.: Line pattern retrieval using relational histograms. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) 21(12), 1363–1370 (1999)
Huet, B., Hancock, E.R.: Relational object recognition from large structural libraries. Pattern Recognition 35(9), 1895–1915 (2002)
Koenderink, J.J., van Doorn, A.J.: Surface shape and curvature scales. Image and Vision Computing 10(8), 557–565 (1992)
Nobuhide, A., Masaru, T.: Information theoretic learning with maximizing tsallis entropy. In: Proceedings of International Technical Conference on Circuits/System, Computers and Communications, ITC-CSCC, Phuket, Thailand, pp. 810–813 (2002)
Renyi, A.: Some fundamental questions of information theory. In: Turan [12] (Originally: MTA III. Oszt. Kozl., vol. 10, pp. 251–282 (1960)
Samaria, F.S., Harter, A.C.: Parameterisation of a stochastic model for human face identification. In: IEEE Workshop on Applications of Computer Vision, Sarasota, Florida, USA (December 1994)
Shannon, C.E.: A mathematical theory of communication. Bell System Technical Journal 27, 379–423, 623–653 (1948)
Swain, M.J., Ballard, D.H.: Indexing via color histogram. In: Proceedings of third international conference on Computer Vision (ICCV), Osaka, Japan, pp. 390–393 (1990)
Turan, P.E.: Selected Papers of Alfred Renyi. Akademiai Kiado, Budapest, Hungary (1976)
Woodham, R.J.: Gradient and curvature from the photometric stereo method, including local confidence estimation. Journal of the Optical Society of America 11(11), 3050–3068 (1994)
Worthington, P.L., Hancock, E.R.: New constraints on data-closeness and needle map consistency for shape-from-shaping. IEEE Transactions on Pattern Analysis and Machine Intelligence (PAMI) 21(12), 1250–1267 (1999)
Zhao, W., Chellappa, R.: Robust face recognition using symmetric shape-fromshading (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, Y., Hancock, E.R. (2004). Face Recognition with Generalized Entropy Measurements. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2004. Lecture Notes in Computer Science, vol 3212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30126-4_89
Download citation
DOI: https://doi.org/10.1007/978-3-540-30126-4_89
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23240-7
Online ISBN: 978-3-540-30126-4
eBook Packages: Springer Book Archive