Three-Dimensional Investigation of the Metric Properties of Parabolic Double Projection Involving Catadioptric Camera
This work addresses a specific gap in camera calibration for researchers, but it is incremental as it builds on existing projection models.
The paper tackles the problem of insufficiently studied metric properties in paradioptric camera systems by analytically determining true lengths and areas of projected lines, which aids in distortion analysis and camera calibration.
This paper presents an analytical study for the metric properties of the paraboloidal double projection, i.e. central and orthogonal projections used in the catadioptric camera system. Metric properties have not sufficiently studied in previous treatments of such system. These properties incorporate the determination of the true lengths of projected lines and areas bounded by projected lines. The advantageous main gain of determining metric elements of the paraboloidal double projection is studying distortion analysis and camera calibration, which is considered an essential tool in testing camera accuracy. Also, this may be considered as a significant utility in studying comparison analysis between different cameras projection systems.