Abstract
Schlick’s approximation of the term x p is used primarily to reduce the complexity of specular lighting calculations in graphics applications. Since moment functions have a kernel defined using a monomial x p y p, the same approximation could be effectively used in the computation of normalized geometric moments and invariants. This paper outlines a framework for computing moments of various orders of an image using a simplified kernel, and shows the advantages provided by the approximating function through a series of experimental results.
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References
Ghorbel, F., Derrode, S., Dhahbi, S.: Reconstructing with Geometric Moments. In: Proc. Int. Conf. on Machine Intelligence: ACIDCA-ICMI 2005 (2005)
Li, B.: High-Order Moment Computation of Gray Level Images. IEEE Trans. On Image Processing 4, 502–505 (1995)
Mukundan, R., Ramakrishnan, K.R.: Moment Functions in Image Analysis – Theory and Applications. World Scientific, Singapore (1998)
Yang, L.R., Albregtsen, F.: Fast and Exact Computation of Cartesian Geometric Moments Using Discrete Greens Theorem. Pattern Recognition 29, 1061–1073 (1996)
Martinez, J., Thomas, F.: Efficient Computation of Local Geometric Moments. IEEE Trans. On Image Processing 11, 1102–1111 (2002)
Liu, W., Chen, S.S., Cavin, R.: A Bit-Serial VLSI Architecture for Generating Moments in Real Time. IEEE Trans. On. Systems Man and Cybernetics 23, 539–546 (1993)
Schlick, C.: A Fast Alternative to Phong’s Specular Model. In: Heckbert, P.S. (ed.) Graphics Gems IV, pp. 385–387. Elsevier Science, Amsterdam (1994)
Shirley, P., Smits, B., Hu, H., Lafortune, E.: A Practioner’s Assessment of Light Reflection Models. In: Proc. 5th Pacific Conf. on Computer Graphics and Applications, pp. 40–49 (1997)
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Mukundan, R. (2007). A New Set of Normalized Geometric Moments Based on Schlick’s Approximation. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2007. Lecture Notes in Computer Science, vol 4842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76856-2_20
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DOI: https://doi.org/10.1007/978-3-540-76856-2_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76855-5
Online ISBN: 978-3-540-76856-2
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