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Pattern TheoryFrom representation to inference$
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Ulf Grenander and Michael I. Miller

Print publication date: 2006

Print ISBN-13: 9780198505709

Published to Oxford Scholarship Online: November 2020

DOI: 10.1093/oso/9780198505709.001.0001

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Estimation On Metric Spaces With Photometric Variation

Estimation On Metric Spaces With Photometric Variation

(p.414) 14 Estimation On Metric Spaces With Photometric Variation
Pattern Theory

Ulf Grenander

Michael I. Miller

Oxford University Press

Model uncertainty comes in many forms. In this chapterweshall examine extensively the variable photometric model in which the underlying image field I(·) is modelled as an element of a Hilbert space I(·) ∈ H(φ) constructed via basis expansion {φi }. Inference involves both the pose and identity of the objects as well as the photometric intensity itself. This corresponds to making the template random, expanding the deformable template to include both the photometric variations and geometric variations.

Keywords:   Blahut algorithm, Hilbert-Schmidt distortion, codebook construction, openGL software, perspective projection, rate-distortion theory, source-channel view

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