Camera Array Calibration Using Differentiable Point Targets

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Solution Overview

Problem

Conventional camera array calibration methods rely on physical calibration targets that are imperfect and introduce errors due to physical limitations, feature mismatching, limited visibility, and resolution issues.

Innovation Solution

The use of differentiable point targets, which are small, independently positionable, and uniquely identifiable, allows for accurate calibration of camera arrays by forming virtual planes that are perfectly planar and visible from multiple vantage points.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If physical calibration targets are used for camera array calibration, then calibration can be performed with conventional methods, but calibration errors are introduced due to physical limitations, feature mismatching, and resolution issues

Engineering Contradiction:
Improvecalibration process implementationVSAvoidcalibration accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent replaces physical calibration targets with virtual calibration targets that are generated computationally. These virtual targets exist as mathematical constructs in the 3D scene rather than physical objects, eliminating all physical imperfections. The virtual targets are projected onto the image planes of multiple cameras and used for calibration computations, achieving perfect geometric precision without manufacturing tolerances or physical degradation.

Inventive Principle:
Principle #26Copying

Solution Approach 2:

The patent substitutes the mechanical/physical calibration target system with a computational/virtual system. Instead of using physical objects with printed patterns that suffer from resolution limits and manufacturing errors, the system uses software-generated virtual targets with mathematically exact geometries. This replacement of physical mechanics with computational methods eliminates the source of calibration errors.

Inventive Principle:
Principle #28Mechanics substitution (Replace mechanical system)

2Ease of operation

If physical calibration targets are used, then calibration can be performed, but the targets are only visible from limited vantage points and require daisy-chaining for multi-camera calibration

Engineering Contradiction:
Improvecalibration operationVSAvoidcalibration process complexity
Core Design Contradiction:
Ease of operationVSDevice complexity

Solution Approach 1:

The virtual calibration targets are designed to be simultaneously visible from all camera vantage points in the array. By placing virtual targets at multiple locations in the 3D scene and projecting them onto all camera image planes, the system creates a universal calibration reference that all cameras can observe concurrently. This eliminates the need for daisy-chaining cameras through intermediate targets, as each camera can be calibrated directly against the same set of virtual targets.

Inventive Principle:
Principle #6Universality (Multi-functionality)

3Reliability

If physical calibration targets are used, then calibration can be performed, but errors are introduced due to the targets being imperfect and having physical limitations

Engineering Contradiction:
Improvecalibration reliabilityVSAvoidcalibration precision
Core Design Contradiction:
ReliabilityVSMeasurement precision

Solution Approach 1:

The patent creates perfect virtual copies of calibration targets in the computational domain. These virtual targets have mathematically exact geometries, positions, and orientations that can be precisely controlled and known. Unlike physical targets that have manufacturing tolerances, wear, and deformation, the virtual targets maintain perfect geometric fidelity throughout the calibration process, providing a reliable reference that does not degrade over time or with repeated use.

Inventive Principle:
Principle #26Copying

Data Source

PatentUS12307716B2Methods and systems for calibrating a camera array based on differentiable point targets in a capture scene
Publication Date: 2025.05.20 VERIZON PATENT & LICENSING INC
  • US12307716B2 patent drawing
  • US12307716B2 patent drawing
  • US12307716B2 patent drawing

AI summary

An illustrative camera calibration system may identify a first configuration of a set of differentiable point targets as depicted in a first image of a scene and a second configuration of the set of differentiable point targets as depicted in a second image of the scene. The differentiable point targets may each be independently positionable within the scene and the first and second images may be respectively captured by first and second image capture devices in accordance with first and second poses with respect to the scene, Based on the identified first and second configurations of the differentiable point targets, the camera calibration system may generate calibration parameters for a camera array that includes the first and second image capture devices. The calibration parameters may be configured to represent the first and second poses of the first and second image capture devices, Corresponding methods and systems are also disclosed.