Abstract
The goal of this paper is to solve the following basic problem: Given discrete noisy samples from a continuous signal, compute the probability distribution of its distance from a fixed template. As opposed to the typical restoration problem, which considers a single optimal signal, the computation of the entire probability distribution necessitates integrating over the entire signal space. To achieve this, we apply path integration techniques. The problem is studied in one and two dimensions, and an accurate solution as well as an efficient approximation scheme are provided.
Original language | American English |
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Article number | 6122033 |
Pages (from-to) | 1873-1885 |
Number of pages | 13 |
Journal | IEEE Transactions on Pattern Analysis and Machine Intelligence |
Volume | 34 |
Issue number | 10 |
DOIs | |
State | Published - 2012 |
Keywords
- Pattern matching
- distance between signals
- energy of a signal
- path integrals
- probability
- regularization
- sampling
All Science Journal Classification (ASJC) codes
- Software
- Artificial Intelligence
- Applied Mathematics
- Computer Vision and Pattern Recognition
- Computational Theory and Mathematics