We define a nonlinear filtering based on correlations on unit spheres to obtain both rotation- and scale-invariant three-dimensional (3D) object detection. Tridimensionality is expressed in terms of range images. The phase Fourier transform (PhFT) of a range image provides information about the orientations of the 3D object surfaces. When the object is sequentially rotated, the amplitudes of the different PhFTs form a unit radius sphere. On the other hand, a scale change is equivalent to a multiplication of the amplitude of the PhFT by a constant factor. The effect of both rotation and scale changes for 3D objects means a change in the intensity of the unit radius sphere. We define a 3D filtering based on nonlinear operations between spherical correlations to achieve both scale- and rotation-invariant 3D object recognition.

© 2008 Optical Society of America

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Three-dimensional electro-optical correlation (JOSAA)
• Three-Dimensional Joint Transform Correlator (AO)
• Three-Dimensional Pattern Recognition with a Single Two-Dimensional Synthetic Reference Function (AO)
• Detection of three-dimensional objects under arbitrary rotations based on range images (OE)
• Phase Fourier vector model for scale invariant three-dimensional image detection (OE)

Related Conference Papers

• A 10-Gbit/s all-optical code generation and recognition system based on a hybrid approach of optical fiber delay line and superstructure fiber bragg grating technologies
• Spatial Position Detection of Three-Dimensional Object Using Complex Amplitude Derived from Fourier Transform Profilometry
• Spatial Position Detection of Three-Dimensional Object Using Complex Amplitude Derived from Fourier Transform Profilometry
• Optical Performance Monitoring Technique Using Delay Tap Asynchronous Waveform Sampling
• All-Optical Signal Processing Based on Self-Induced Effects in a Vertical Cavity Semiconductor Switch