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camera calibration

Camera calibration is the process of determining the optical and geometric parameters of an imaging device to establish the mathematical relationship between three-dimensional coordinates in the physical world and two-dimensional pixel coordinates in an image. The procedure involves estimating intrinsic parameters, such as focal length, optical center, pixel aspect ratio, and lens distortion, as well as extrinsic parameters, which define the position and orientation of the camera relative to a reference coordinate system. By accurately modeling how light projects onto the camera sensor and correcting for optical aberrations such as radial and tangential distortion, camera calibration enables precise metric measurements, stereo triangulation, three-dimensional scene reconstruction, and robotic visual tracking.

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Camera Calibration with Distortion Models and Accuracy Evaluation

Camera Calibration with Distortion Models and Accuracy Evaluation

J. Weng, P. Cohen, Marc Herniou

OrganizationsMichigan State UniversityPolytechnique Montréal

Why you should read this

Develops a two-step camera calibration framework incorporating radial, decentering, and thin prism distortions through closed-form initialization followed by full nonlinear optimization, complemented by a normalized error metric to quantitatively benchmark calibration accuracy across different optical setups.

The objective of stereo camera calibration is to estimate the internal and external parameters of each camera. Using these parameters, the 3-D position of a point in the scene, which is identified and matched in two stereo images, can be determined by the method of triangulation. In this paper, we present a camera model that accounts for major sources of camera distortion, namely, radial, decentering, and thin prism distortions. The proposed calibration procedure consists of two steps. In the first step, the calibration parameters are estimated using a closed-form solution based on a distortion-free camera model. In the second step, the parameters estimated in the first step are improved iteratively through a nonlinear optimization, taking into account camera distortions. According to minimum variance estimation, the objective function to be minimized is the mean-square discrepancy between the observed image points and their inferred image projections computed with the estimated calibration parameters. We introduce a type of measure that can be used to directly evaluate the performance of calibration and compare calibrations among different systems. The validity and performance of our calibration procedure are tested with both synthetic data and real images taken by tele- and wide-angle lenses. The results consistently show significant improvements over less complete camera models.

Added

2026-09-17

Modeling and rendering architecture from photographs: a hybrid geometry- and image-based approach

Modeling and rendering architecture from photographs: a hybrid geometry- and image-based approach

Paul E. Debevec, Camillo J. Taylor, Jitendra Malik

OrganizationsUniversity of California Berkeley

Why you should read this

Presents a hybrid modeling framework that reconstructs photorealistic 3D architectural scenes from a sparse set of photographs by combining interactive block-based photogrammetry, model-based stereo, and view-dependent texture mapping.

We present a new approach for modeling and rendering existing architectural scenes from a sparse set of still photographs. Our modeling approach, which combines both geometry-based and image-based techniques, has two components. The first component is a photogrammetric modeling method which facilitates the recovery of the basic geometry of the photographed scene. Our photogrammetric modeling approach is effective, convenient, and robust because it exploits the constraints that are characteristic of architectural scenes. The second component is a model-based stereo algorithm, which recovers how the real scene deviates from the basic model. By making use of the model, our stereo technique robustly recovers accurate depth from widely-spaced image pairs. Consequently, our approach can model large architectural environments with far fewer photographs than current image-based modeling approaches. For producing renderings, we present view-dependent texture mapping, a method of compositing multiple views of a scene that better simulates geometric detail on basic models. Our approach can be used to recover models for use in either geometry-based or image-based rendering systems. We present results that demonstrate our approach’s ability to create realistic renderings of architectural scenes from viewpoints far from the original photographs.

Added

2026-09-16