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3D Reconstruction of Canal Surfaces from a Single Perspective Image

Abstract

A canal surface is obtained as the envelope of a family of spheres of constant radius, whose center is swept along a space curve, called axis. Previous studies either used approximate relationships (quasi-invariants), or they addressed the recognition based on a geometric model. In this paper we show that, under broad conditions, canal surfaces can be reconstructed from single images under exact perspective. In particular, canal surfaces with planar axis can even be reconstructed from a single fully-uncalibrated image. An automatic reconstruction method has been implemented. Simulations and experimental results on real im- ages are also presented

Paper

Software download

Software available upon request (Java).

Cite

@inproceedings{caglioti2006reconstruction,
  title={Reconstruction of canal surfaces from single images under exact perspective},
  author={Caglioti, Vincenzo and Giusti, Alessandro},
  booktitle={Proceedings of the 9th European Conference on Computer Vision (ECCV)},
  pages={289--300},
  year={2006},
  organization={Springer-Verlag}
}

Application: Recovering Ball Motion from a Single Motion-blurred Image

See here.

Application: A Manipulable Vision-Based 3D Input Device for Space Curves

Abstract

This paper presents a novel and user friendly input device for 3D curves. The system is based on a piece of flexible wire and a single off-the-shelf photo camera: the user bends the wire to the desired 3D shape; then, an ad-hoc technique for 3D reconstruction is used to recover its 3D shape (a space curve) from a single image. The result is a simple, unusual input device with many potential applications, ranging from games to 3D modeling. For untrained users, this is a much more intuitive input technique than alternative methods. A disadvantage is that changes to the wire’s shape are not reflected in real time on the recovered representation. We give a detailed description of the system’s structure, briefly recall the reconstruction technique, and describe a prototype in which the input device is seamlessly integrated in the popular Blender 3D modeling software. We finally show simple example applications in which the shape of the wire is used to define the trajectory of moving objects, to deform a 3D object, and to animate a 3D character.

Paper

Cite

@incollection{caglioti2008manipulable,
  title={A Manipulable Vision-Based 3D Input Device for Space Curves},
  author={Caglioti, Vincenzo and Giusti, Alessandro and Mureddu, Lorenzo and Taddei, Pierluigi},
  booktitle={Articulated Motion and Deformable Objects},
  pages={309--318},
  year={2008},
  publisher={Springer}
}