@article {18191,
	title = {Data hiding in curves with application to fingerprinting maps},
	journal = {Signal Processing, IEEE Transactions on},
	volume = {53},
	year = {2005},
	month = {2005/10//},
	pages = {3988 - 4005},
	abstract = {This paper presents a new data hiding method for curves. The proposed algorithm parameterizes a curve using the B-spline model and adds a spread spectrum sequence to the coordinates of the B-spline control points. In order to achieve robust fingerprint detection, an iterative alignment-minimization algorithm is proposed to perform curve registration and to deal with the nonuniqueness of B-spline control points. Through experiments, we demonstrate the robustness of the proposed data-hiding algorithm against various attacks, such as collusion, cropping, geometric transformations, vector/raster-raster/vector conversions, printing-and-scanning, and some of their combinations. We also show the feasibility of our method for fingerprinting topographic maps as well as writings and drawings.},
	keywords = {(mathematics);, algorithm;, alignment-minimization, B-spline, CONTROL, curve, data, detection;, edge, embedding;, encapsulation;, fingerprint, geospatial, hiding, identification;, image, iterative, method;, methods;, minimisation;, point;, protection;, registration;, sequence;, spectrum, splines, spread, watermarking;},
	isbn = {1053-587X},
	doi = {10.1109/TSP.2005.855411},
	author = {Gou,Hongmei and M. Wu}
}
@conference {18266,
	title = {Resistance of orthogonal Gaussian fingerprints to collusion attacks},
	booktitle = {Multimedia and Expo, 2003. ICME {\textquoteright}03. Proceedings. 2003 International Conference on},
	volume = {1},
	year = {2003},
	month = {2003/07//},
	pages = {I - 617-20 vol.1 - I - 617-20 vol.1},
	abstract = {Digital fingerprinting is a means to offer protection to digital data by which fingerprints embedded in the multimedia are capable of identifying unauthorized use of digital content. A powerful attack that can be employed to reduce this tracing capability is collusion. In this paper, we study the collusion resistance of a fingerprinting system employing Gaussian distributed fingerprints and orthogonal modulation. We propose a likelihood-based approach to estimate the number of colluders, and introduce the thresholding detector for colluder identification. We first analyze the collusion resistance of a system to the average attack by considering the probability of a false negative and the probability of a false positive when identifying colluders. Lower and upper bounds for the maximum number of colluders K<sub>max</sub> are derived. We then show that the detectors are robust to different attacks. We further study different sets of performance criteria.},
	keywords = {approach;, attacks;, capability;, collusion, data, data;, digital, distributed, embedded, fingerprinting;, fingerprints;, Gaussian, likelihood-based, modulation;, multimedia, of, orthogonal, probability;, processes;, protection;, Security, systems;, tracing},
	doi = {10.1109/ICME.2003.1220993},
	author = {Wang,Z.J. and M. Wu and Zhao,Hong and Liu,K. J.R and Trappe,W.}
}
