Computational geometry: an introduction
Computational geometry: an introduction
Algorithms
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Alignment by Maximization of Mutual Information
International Journal of Computer Vision
Shape Indexing Using Approximate Nearest-Neighbour Search in High-Dimensional Spaces
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Image matching using alpha-entropy measures and entropic graphs
Signal Processing - Special section on content-based image and video retrieval
Estimation of the information by an adaptive partitioning of the observation space
IEEE Transactions on Information Theory
Nonlinear dimensionality reduction by locally linear inlaying
IEEE Transactions on Neural Networks
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We address the problem of entropy estimation for high-dimensional finite-accuracy data. Our main application is evaluating high-order mutual information image similarity criteria for multimodal image registration. The basis of our method is an estimator based on k-th nearest neighbor (NN) distances, modified so that only distances greater than some constant R are evaluated. This modification requires a correction which is found numerically in a preprocessing step using quadratic programming. We compare experimentally our new method with k-NN and histogram estimators on synthetic data as well as for evaluation of mutual information for image similarity.