Fourier Vision: Segmentation and Velocity Measurement using by David Vernon

By David Vernon

Fourier Vision offers a brand new remedy of figure-ground segmentation in scenes comprising obvious, translucent, or opaque gadgets. Exploiting the relative movement among determine and floor, this system bargains explicitly with the separation of additive indications and makes no assumptions concerning the spatial or spectral content material of the photographs, with segmentation being performed phasor by means of phasor within the Fourier area. it really works with numerous digicam configurations, equivalent to digicam movement and short-baseline binocular stereo, and plays top on photos with small velocities/displacements, usually one to 10 pixels in line with body. The booklet additionally addresses using Fourier recommendations to estimate stereo disparity and optical stream. a number of examples are supplied all through.
Fourier Vision may be of price to researchers in photograph processing & computing device imaginative and prescient and, in particular, to people who need to care for superimposed obvious or translucent gadgets. Researchers in program parts comparable to scientific imaging and acoustic sign processing also will locate this of interest.

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Example text

12 (b). The solution to both of these problems is the same: remove those phasors at spatial frequencies for which ~

Example of removal of reflections: the detail of the ECCV 2000 logo in the frame is shown in (a) while the reflection is shown in (b); an improved result in (c) and (d) is achieved by using additional post-processing to be described in the next chapter. , some residual components of the foreground can be seen in the background and vice versa. Why has this occurred? 17 at spatial frequencies which exhibit identical or near identical phase changes. In the case of synthetic images, we can compute Ll<"Pl(wx,Wy) and Ll<"p2(wx,Wy) exactly since the translations are exactly integer multiples of one pixel.

The velocity of the image is (3, -3) pixels per unit time. e. centred at the zero-frequency component. 7 (8 x 8 pixels), the quantization resolution of the angular velocity of the phasors is much smaller (i~ radians/frame) and, consequently, the phase differences of any given phasor are much smaller. In this case, it is easier to discern the linear relationship between angular velocity of rotation and spatial velocity & spatial frequency. Note the set of phasors which have a zero angular velocity.

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