Image Registration

Author: Tianjiang Says

Website: https://cislunarspace.cn

Definition

Image registration is the process of precisely aligning consecutively captured astronomical image frames so that background stars maintain consistent pixel positions across frames. It is a critical step in the astronomical image processing pipeline, laying the foundation for subsequent background star elimination and moving object detection.

Core Principles

Astrometric Solution

The first step of image registration is to compute an astrometric solution for each frame, i.e., to establish the mapping between pixel coordinates and celestial coordinates. By identifying known stars in the image, the rotation, translation, and distortion parameters of the image can be determined.

Frame Offset Estimation

"Based on the astrometric solutions and the recognized background stars, the inter-frame offset is estimated." The inter-frame offset consists of two components:

• Shift $(S_x, S_y)$: pixel displacement of the image in the $x$ and $y$ directions
• Rotation: the rotational angle of the image about the optical axis

"For consecutive frames obtained with the same telescope and observing strategy, the offset values between these frames are not significant. Generally, they are less than several pixels." This means that within short time intervals, the corrections needed for image registration are small, which is conducive to achieving high-precision alignment.

Subpixel Interpolation

To achieve subpixel alignment precision, interpolation algorithms are needed to resample pixel values. Common interpolation methods include:

Implementation Pipeline

The complete image registration pipeline typically includes:

1. Source detection: detect stellar sources in each frame
2. Source matching: cross-match stellar sources across different frames
3. Transform estimation: compute inter-frame transformation parameters from matched star pairs
4. Image resampling: align images to a reference frame using interpolation algorithms

Applications in Cislunar Observation

In optical surveys of cislunar moving objects, image registration is the foundational step of the entire image processing pipeline. Sun et al. (2026) indicate that precise image registration is a prerequisite for background star elimination and the stacking search algorithm (SAA).

For cislunar observation, image registration faces several unique challenges:

• Fast-moving objects: the target's own motion may interfere with registration algorithms, requiring outlier rejection during registration
• Dense star fields: dense star fields near the galactic plane increase the complexity of source matching
• Atmospheric refraction: observations at different elevations require correction for varying atmospheric refraction effects

Registration accuracy directly affects the performance of subsequent processing steps: registration errors can cause stellar residuals (affecting SAA efficiency) or introduce spurious signals (increasing the false alarm rate).

Related Concepts

• Background Star Elimination
• Stacking Search Algorithm
• Cislunar Moving Objects
• Hot Pixel

References

• Sun, R., Zhang, Q., Yu, S., et al. Optical Survey for Cislunar Moving Objects Using Image Stacking. AJ, 2026.