Abstract
This chapter outlines a new non-invasive method for delineation of skin lesions such as lentigo maligna and lentigo maligna melanoma. The method is based on the analysis of hyperspectral (HS) images taken in vivo before surgical excision of the lesions. For this, characteristic features of the spectral signatures of diseased pixels and healthy pixels are extracted, which combine the intensities in a few selected wavebands with the coefficients of the wavelet frame transforms of the spectral curves. To reduce dimensionality and to reveal the internal structure of the datasets, the diffusion maps (DM) technique is applied. The averaged Nearest Neighbor and the Classification and Regression Tree (CART) classifiers are utilized as the decision units. To reduce false alarms by the CART classifier, the Aisles procedure is used. The chapter is based on the paper (Zheludev et al, Biomed Signal Process Control, 16:48–60, (2015), [15]).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A. Averbuch, E. Hulata, V. Zheludev, I. Kozlov, A wavelet packet algorithm for classification and detection of moving vehicles. Multidimens. Syst. Signal Process. 12(1), 9–31 (2001)
A. Averbuch, V. Zheludev, T. Cohen, Interpolatory frames in signal space. IEEE Trans. Signal Process. 54(6), 2126–2139 (2006)
A.Z. Averbuch, P. Neittaanmäki, V.A. Zheludev, Spline and Spline Wavelet Methods with Applications to Signal and Image Processing, Volume II: Non-periodic Splines (Springer, Berlin, 2015)
A. Bermanis, A. Averbuch, R.R. Coifman, Multiscale data sampling and function extension. Appl. Comput. Harmon. Anal. 34(1), 15–29 (2013)
L. Breiman, J.H. Friedman, R.A. Olshen, C.J. Stone, Classification and Regression Trees (Wadsworth, Belmont, 1984)
Fan R.K. Chung, Spectral Graph Theory (CBMS Regional Conference Series in Mathematics), vol. 92 (American Mathematical Society, Providence, 1996)
G. Clark, E. Pappas-Politis, B. Cherpelis, J. Messina, M. Müller, C. Cruse, L. Glass, Surgical management of melanoma in situ on chronically sun-damaged skin. Cancer Control 15(3), 216–224 (2008)
R.R. Coifman, S. Lafon, Diffusion maps. Appl. Comput. Harmon. Anal. Spec. Issue Diffus. Maps Wavelets 21(1), 5–30 (2006)
R.R. Coifman, S. Lafon, Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions. Appl. Comput. Harmon. Anal. Spec. Issue Diffus. Maps Wavelets 21(1), 31–52 (2006)
A. Glaser, S. Lafon, Y. Keller, R.R. Coifman, Data fusion and multi-cue data matching by diffusion maps. IEEE Trans. Pattern Anal. Mach. Intell. 28(11), 1784–1797 (2006)
P.C. Mahalanobis, On the generalised distance in statistics. Proc. Natl. Inst. Sci. India 2(1), 49–55 (1936)
J.K. McKenna, S.R. Florell, G.D. Goldman, G.M. Bowen, Lentigo maligna/lentigo maligna melanoma: current state of diagnosis and treatment. Dermatol. Surg. 32(4), 493–504 (2006)
E.J. Nyström, Über die praktische auflösung von linearen integralgleichungen mit anwendungen auf randwertaufgaben der potentialtheorie. Comment. Phys.-Math. 4(15), 1–52 (1928)
W.H. Press, S.A. Teukolsky, W.T. Vetterling, B.P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd edn. (Cambridge University Press, New York, 1992)
V. Zheludev, I. Pölönen, N. Neittaanäki-Perttu, A. Averbuch, P. Neittaanmäki, M. Grönroos, H. Saari, Delineation of malignant skin tumors by hyperspectral imaging using diffusion maps dimensionality reduction. Biomed. Signal Process. Control 16, 48–60 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Averbuch, A.Z., Neittaanmäki, P., Zheludev, V.A. (2019). Delineation of Malignant Skin Tumors by Hyperspectral Imaging. In: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-92123-5_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-92123-5_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-92122-8
Online ISBN: 978-3-319-92123-5
eBook Packages: EngineeringEngineering (R0)