An initial assessment of discriminant surface complexity for power law features

The detection of man-made objects in natural terrain is important in both the targeting and terminal homing phase of modern warfare. The presence of man-made objects in gray-scale images has been successfully detected using a new class of density estimation neural networks to analyze power law signatures. The complex nature of the discriminant surface relating these features has been elucidated using these adaptive mixture networks.

[1]  A. F. Smith,et al.  Statistical analysis of finite mixture distributions , 1986 .

[2]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[3]  David J. Marchette,et al.  The Adaptive Kernel Neural Network , 1990 .

[4]  Donald F. Specht,et al.  Probabilistic neural networks , 1990, Neural Networks.

[5]  Joseph Naor,et al.  Multiple Resolution Texture Analysis and Classification , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[6]  Heinz-Otto Peitgen,et al.  The science of fractal images , 2011 .

[7]  Y. Chien,et al.  Pattern classification and scene analysis , 1974 .

[8]  Przemyslaw Prusinkiewicz,et al.  Lindenmayer Systems, Fractals, and Plants , 1989, Lecture Notes in Biomathematics.

[9]  David J. Marchette,et al.  Adaptive mixtures: Recursive nonparametric pattern recognition , 1991, Pattern Recognit..

[10]  Randy L. Shimabukuro,et al.  Least-Squares Learning and Approximation of Posterior Probabilities on Classification Problems by Neural Network Models , 1991 .

[11]  Michael C. Stein Fractal Image Models And Object Detection , 1987, Other Conferences.

[12]  Keinosuke Fukunaga,et al.  The Reduced Parzen Classifier , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Alex Pentland,et al.  Fractal-Based Description of Natural Scenes , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[14]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[15]  C. Sparrow The Fractal Geometry of Nature , 1984 .

[16]  T. Peli Multiscale fractal theory and object characterization , 1990 .

[17]  C. D. Kemp,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[18]  T. Wagner,et al.  Asymptotically optimal discriminant functions for pattern classification , 1969, IEEE Trans. Inf. Theory.

[19]  Leonid I. Perlovsky,et al.  Maximum likelihood neural networks for sensor fusion and adaptive classification , 1991, Neural Networks.