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Images as functions…
Images as functions…
Images as functions…
Images as functions…
Characterizing edges
Characterizing edges
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image derivatives
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Image gradient
Effects of noise
Effects of noise
Effects of noise
Effects of noise
Effects of noise
Effects of noise
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Solution: smooth first
Associative property of convolution
Associative property of convolution
Associative property of convolution
Associative property of convolution
Associative property of convolution
Associative property of convolution
2D edge detection filters
2D edge detection filters
2D edge detection filters
2D edge detection filters
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
Derivative of Gaussian filter
The Sobel operator
The Sobel operator
The Sobel operator
The Sobel operator
The Sobel operator
The Sobel operator
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Sobel operator: example
Example
Example
Finding edges
Finding edges
Finding edges
Finding edges
Finding edges
Finding edges
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Имидж лик или личина по мхк

содержание презентации «Имидж лик или личина по мхк.ppt»
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1CS4670: Computer Vision. Lecture 2: 7the gradient magnitude: The gradient
Edge detection. Noah Snavely. From Sandlot direction is given by: how does this
Science. relate to the direction of the edge?
2Edge detection. Convert a 2D image Source: Steve Seitz.
into a set of curves Extracts salient 8Image gradient. Source: L. Lazebnik.
features of the scene More compact than 9Effects of noise. Where is the edge?
pixels. TexPoint fonts used in EMF. Read Noisy input image. Source: S. Seitz.
the TexPoint manual before you delete this 10Solution: smooth first. f. Source: S.
box.: AAA. Seitz.
3Origin of Edges. Edges are caused by a 11Associative property of convolution.
variety of factors. surface normal Differentiation is convolution, and
discontinuity. depth discontinuity. convolution is associative: This saves us
surface color discontinuity. illumination one operation: Source: S. Seitz.
discontinuity. 122D edge detection filters. derivative
4Images as functions… Edges look like of Gaussian (x). Gaussian.
steep cliffs. 13Derivative of Gaussian filter.
5Characterizing edges. An edge is a y-direction. x-direction.
place of rapid change in the image 14The Sobel operator. Common
intensity function. image. Source: L. approximation of derivative of Gaussian.
Lazebnik. The standard defn. of the Sobel operator
6Image derivatives. How can we omits the 1/8 term doesn’t make a
differentiate a digital image F[x,y]? difference for edge detection the 1/8 term
Option 1: reconstruct a continuous image, is needed to get the right gradient
f, then compute the derivative Option 2: magnitude. -1. 0. 1. 1. 2. 1. -2. 0. 2. 0.
take discrete derivative (finite 0. 0. -1. 0. 1. -1. -2. -1.
difference). : : How would you implement 15Sobel operator: example. Source:
this as a linear filter? 1. -1. -1. 1. Wikipedia.
Source: S. Seitz. 16Example. original image (Lena).
7Image gradient. The gradient of an 17Finding edges. gradient magnitude.
image: The gradient points in the 18Finding edges. thresholding. where is
direction of most rapid increase in the edge?
intensity. The edge strength is given by 19Questions?
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