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Nonlinear models for the statistics of adaptive wavelet packet coefficients of texture (2006)
Presentation / Conference Contribution
Aubray, J., Jermyn, I., & Zerubia, J. (2006). Nonlinear models for the statistics of adaptive wavelet packet coefficients of texture. In 14th European Signal Processing Conference, 2006 (1-5)

Probabilistic adaptive wavelet packet models of texture provide new insight into texture structure and statistics by focusing the analysis on significant structure in frequency space. In very adapted subbands, they have revealed new bimodal statistic... Read More about Nonlinear models for the statistics of adaptive wavelet packet coefficients of texture.

Bayes Linear Calibrated Prediction for Complex Systems (2006)
Journal Article
Goldstein, M., & Rougier, J. (2006). Bayes Linear Calibrated Prediction for Complex Systems. Journal of the American Statistical Association, 101(475), 1132-1143. https://doi.org/10.1198/016214506000000203

A calibration-based approach is developed for predicting the behavior of a physical system that is modeled by a computer simulator. The approach is based on Bayes linear adjustment using both system observations and evaluations of the simulator at pa... Read More about Bayes Linear Calibrated Prediction for Complex Systems.

A higher-order active contour model for tree detection (2006)
Presentation / Conference Contribution
Horvath, P., Jermyn, I., Kato, Z., & Zerubia, J. (2006). A higher-order active contour model for tree detection. In Y. Y. Tang, S. P. Wang, G. Lorette, D. S. Yeung, & H. Yan (Eds.), 18th International Conference on Pattern Recognition (130-133). https://doi.org/10.1109/icpr.2006.79

We present a model of a `gas of circles', the ensemble of regions in the image domain consisting of an unknown number of circles with approximately fixed radius and short range repulsive interactions, and apply it to the extraction of tree crowns fro... Read More about A higher-order active contour model for tree detection.

Modelling beyond regression functions: An application of multimodal regression to speed-flow data (2006)
Journal Article
Einbeck, J., & Tutz, G. (2006). Modelling beyond regression functions: An application of multimodal regression to speed-flow data. Journal of the Royal Statistical Society: Series C, 55(4), 461-475. https://doi.org/10.1111/j.1467-9876.2006.00547.x

For speed–flow data, which are intensively discussed in transportation science, common nonparametric regression models of the type y=m(x)+noise turn out to be inadequate since simple functional models cannot capture the essential relationship between... Read More about Modelling beyond regression functions: An application of multimodal regression to speed-flow data.

Higher-order active contours (2006)
Journal Article
Rochery, M., Jermyn, I., & Zerubia, J. (2006). Higher-order active contours. International Journal of Computer Vision, 69(1), 27-42. https://doi.org/10.1007/s11263-006-6851-y

We introduce a new class of active contour models that hold great promise for region and shape modelling, and we apply a special case of these models to the extraction of road networks from satellite and aerial imagery. The new models are arbitrary p... Read More about Higher-order active contours.

Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms (2006)
Journal Article
Funke, J., & Millson, J. (2006). Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms. American Journal of Mathematics, 128(4), 899-948. https://doi.org/10.1353/ajm.2006.0032

The purpose of this paper is to generalize the relation between intersection numbers of cycles in locally symmetric spaces of orthogonal type and Fourier coefficients of Siegel modular forms to the case where the cycles have local coefficients. Now t... Read More about Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms.

The fitting of multifunctions: an approach to nonparametric multimodal regression (2006)
Presentation / Conference Contribution
Einbeck, J., & Tutz, G. (2006). The fitting of multifunctions: an approach to nonparametric multimodal regression. In A. Rizzi, & M. Vichi (Eds.), COMPSTAT 2006 : proceedings in computational statistics, 17th symposium held in Rome, Italy, 2006 (1251-1258)

In the last decades a lot of research has been devoted to smoothing in the sense of nonparametric regression. However, this work has nearly exclusively concentrated on fitting regression functions. When the conditional distribution of y|x is multimod... Read More about The fitting of multifunctions: an approach to nonparametric multimodal regression.