Non-Single Viewpoint Catadioptric Cameras: Geometry and Analysis

Abstract

Conventional vision systems and algorithms assume the camera to have a single viewpoint. However, sensors need not always maintain a single viewpoint. For instance, an incorrectly aligned system could cause non-single viewpoints. Also, systems could be designed to specifically deviate from a single viewpoint to trade-off image characteristics such as resolution and field of view. In these cases, a locus of viewpoints is formed, called a caustic. In this paper, we present an in-depth analysis of the viewpoint loci for catadioptric cameras with conic reflectors. Properties of these viewpoint loci with regard to field of view, resolution and other geometric properties are presented. In addition, we present a simple technique to calibrate such non-single viewpoint catadioptric cameras and estimate their viewpoint loci (caustics) from known camera motion.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA437464

Entities

People

  • Michael D. Grossberg
  • Rahul Swaminathan
  • Shree K. Nayar

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Ball Bearings
  • Calibration
  • Cameras
  • Caustics
  • Contrast
  • Detectors
  • Digital Cameras
  • Equations
  • Geometry
  • High Resolution
  • Mirrors
  • Reflectors
  • Shape
  • Symmetry
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Computer science

Readers

  • Computer Vision.