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(1)

Chia-Yen Chen CS716 - 3D Shape Recovery 1

Shape recovery methods

This set of notes contains drawing for the following methods:

• Binocular stereo

• Structured lighting

• Shape from contours

a Binocular stereo b

(2)

Chia-Yen Chen CS716 - 3D Shape Recovery 3

a

b

Disparity for b Binocular stereo

Left camera Right camera

Disparity for b Disparity for a Compare

Disparity for a > Disparity for b Means ais closer than b Binocular stereo

(3)

Chia-Yen Chen CS716 - 3D Shape Recovery 5

a b

Note the order of the points’ projections on the imaging plane Binocular stereo

Left camera Right camera

a Structured lighting b

(4)

Chia-Yen Chen CS716 - 3D Shape Recovery 7

Structured lighting

Camera Light source

Calibration plane

Projected light d0

d1

x0 x1

Structured lighting

x d

x0 d0

d1

x1

Graph of projected light

Function of projected light:

d = F(x) = mx+c

(5)

Chia-Yen Chen CS716 - 3D Shape Recovery 9

Shape from contours

Segmentation and extraction of contours

Shape from contours

(6)

Chia-Yen Chen CS716 - 3D Shape Recovery 11

Shape from contours

A preliminary 3D model (visual hull) and a horizontal cross section of the model

Shape from contours

(7)

Chia-Yen Chen CS716 - 3D Shape Recovery 13

Shape from contours

Consider this horizontal cross section of an object. Can this shape be accurately recovered using shape from contours?

Assume: object is placed on a turntable and rotated about the vertical axis

camera

Cavity cannot be recovered using SFC

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