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Paper No. 08-10

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J Su, B Hill, WS Kendall and E Thonnes

Inference on Point Processes with Unobserved One-Dimensional Reference Structure

Date: April, 2008

Abstract: We present a novel approach to examining local anisotropy in planar point processes. Our method is based on a kernel Principal Component Analysis and produces a tensor field that describes local orientation. The approach is illustrated on ane example examining pore patterns in ink fingerprints.

Keywords: Fingerprint, pore pattern, point process, directional analysis, local anisotrophy, kernel PCA, tensor field, Rice formula.