# US 10,769,801 B2 · Fast multi-spectral image registration by modeling platform motion

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- Number: US 10,769,801 B2
- Document ID: US10769801B2
- Status: Granted
- Kind: B2
- Application number: 16/210,091
- Filed: 2018-12-05
- Published: 2019-04-18
- Granted: 2020-09-08
- Earliest claimed: 2016-04-11
- Assignees: Goodrich Corporation
- Applicants: Goodrich Corporation
- Inventors: Suhail Shabbir Saquib; Matthew D. Egan
- Web page: https://patentgrep.com/patent/US10769801B2

## CPC

- G06T 7/30: Determination of transform parameters for the alignment of images, i.e. image registration
- G06T 3/18: Image warping, e.g. rearranging pixels individually
- G06T 3/40: Scaling of whole images or parts thereof, e.g. expanding or contracting
- G06T 7/32: using correlation-based methods
- G06T 2207/10036: Multispectral image; Hyperspectral image
- G06T: IMAGE DATA PROCESSING OR GENERATION, IN GENERAL

## Abstract

A method of predicting warps for image registration includes receiving warp data for a first band pair in an N-band system. The method includes fitting a warp model to the warp data to produce an offset profile for the first band pair, predicting a respective offset profile for at least one other band pair in the N-band system, and using the predicted respective offset profile to generate a warp for the at least one other band pair. The method also includes registering images of the at least one other band pair using the warp for the at least one other band pair. In another aspect, a method of predicting warps for image registration includes receiving warp data for m band pairs in an N-band system, wherein m≤(N−1) and m>2, to register images.

## Claims

### Claim 1

A method of predicting warps for image registration comprising:
receiving warp data for a first band pair in an N-band system;
fitting a warp model to the warp data to produce an offset profile for the first band pair;
predicting a respective offset profile for at least one other band pair in the N-band system;
using the predicted respective offset profile to generate a warp for the at least one other band pair; and
registering images of the at least one other band pair using the warp for the at least one other band pair, wherein predicting a respective offset profile includes shifting and scaling the offset profile for the first band pair, wherein predicting a respective offset profile includes estimating stick spacing for the N-bands of a focal plane array (FPA), wherein shifting and scaling values of the offset profile for the first band pair are derived from the stick spacing of the bands in the first band pair and the bands in the at least one other band pair, wherein the shifting and scaling values for predicting the at least one other band pair, d and e, from the first band pair, f and g, are given as
Δ
⁢
⁢
y
de
⁡
(
fg
)
=
y
d
+
y
e
-
y
f
-
y
g
2
,
⁢
r
de
⁡
(
fg
)
=
y
e
-
y
d
y
g
-
y
f
,
respectively, where {yd, ye, yf, yg} denote spatial locations of bands {d, e, f, g} respectively along a y direction in a focal plane array.

### Claim 2 (depends on 1)

A method as recited in claim 1, wherein predicting a respective offset profile for the at least one other band pair, d and e, includes shifting and scaling the offset profile for the first band pair, f and g
ĉde(fg)(y)=ĉfg(y−Δyde(fg))rde(fg),
where ĉfg(⋅) denotes offset profile estimated for first band pair fg and g.

### Claim 3 (depends on 1)

A method as recited in claim 1, wherein using the predicted respective offset profile to generate a warp for the at least one other band pair includes using a respective optical distortion profile for each respective band pair.