[PDF] Lecture 06: Harris Corner Detector





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Lecture 06: Harris Corner Detector

Robert Collins. Harris Corner Detector: Basic Idea. C.Dyer UWisc. Harris corner detector gives a mathematical approach for determining which case holds.



Notes on the Harris Detector Harris corner detector

Notes on the Harris Detector from Rick Szeliski's lecture notes. CSE576



An Analysis and Implementation of the Harris Corner Detector

The Harris corner detector [9] is a standard technique for locating interest points on an image. Despite the appearance of many feature detectors in the last 



Question 1 - Harris Corner Detection (20 points)

C) Compute the Harris cornerness score for . What do. C et(H) k trace(H). = d. ?. 2 .04 k = 0 we have here? A corner? An edge? Or a flat area? Why?



6.2 Harris Corner Detector

Harris Corners. 16-385 Computer Vision (Kris Kitani) How do you find a corner? ... The Harris detector not invariant to changes in …



Invariance in Feature Detection

Harris corner detection - recap. • Key idea: distinctiveness Harris Detector [Harris88] ... How does the output of Harris corner detector change?



A COMBINED CORNER AND EDGE DETECTOR

Chris Harris & Mike Stephens texture and isolated features a combined corner and edge detector based on the local auto-correlation function is.



A Comparative Between Corner-Detectors ( Harris Shi-Tomasi

Available online: 01/ 09/2019. Keywords: Harris Detector . Shi-Tomasi Detector



The Harris Corner Detector

The Harris Corner Detector. Konstantinos G. Derpanis kosta@cs.yorku.ca. October 27 2004. In this report the derivation of the Harris corner detector [1] is 



A Comparative Study between Moravec and Harris Corner Detection

Adaptive wavelet thresholding approach is applied for the same. Keywords - Wavelet De-noising



Notes on the Harris Detector - University of Washington

Harris Detector: Mathematics ( ) [ ] u E u v u v M v ? Intensity change in shifting window: eigenvalue analysis ?1 ?2 – eigenvalues of M direction of the slowest change direction of the fastest change (?max)-1/2 (?min)-1/2 Ellipse E(uv) = const Harris Detector: Mathematics ?1 ?2 “Corner” ?1 and ?2 are large ?1 ~ ?2; E



Harris corner detector - Wikipedia

The Harris Corner Detector • What methods have been used to find corners in images? • How do you decide what is a corner and what is not? 1



The Harris Corner Detector - Electrical Engineering and

In this report the derivation of the Harris corner detector [1] is presented The Harris corner detector is a popular interest point detector due to its strong invariance to [3]: rotation scale illumination variation and image noise The Harris corner detector is based on the local auto-correlation function of a sig-



Keypoint Detection: Harris Operator

Harris Corner Detector Algorithm steps: Compute M matrix within all image windows to get their Response scores Find points with large corner response (Response > threshold) Take the points of local maxima of Response (search local neighborhoods e g 3x3 or 5x5 for location of maximum response)



Searches related to harris detector PDF

CMU School of Computer Science

What is a Harris corner detector?

The Harris corner detector is a corner detection operator that is commonly used in computer vision algorithms to extract corners and infer features of an image. It was first introduced by Chris Harris and Mike Stephens in 1988 upon the improvement of Moravec's corner detector.

What is the difference between Harris detector and Kanade-Lucas-Tomasi detector?

These two popular methodologies are both closely associated with and based on the local structure matrix. Compared to the Kanade-Lucas-Tomasi corner detector, the Harris corner detector provides good repeatability under changing illumination and rotation, and therefore, it is more often used in stereo matching and image database retrieval.

How does the Harris-Laplace detector work?

We use a procedure similar to the one in the Harris- Laplace detector. The initial points converge toward a point where the scale and the second moment matrix do not change any more.

What are the Harris scale and invariant detectors based on?

Our scale and af?ne invariant detectors are based on the following recent results: (1) Interest points extractedwiththeHarrisdetectorcanbeadaptedtoaf?netransformationsandgiverepeatableresults(geometrically stable).

CSE486, Penn State

Robert Collins

Lecture 06:

Harris Corner Detector

Reading: T&V Section 4.3

CSE486, Penn State

Robert Collins

Motivation: Matchng Problem

Vision tasks such as stereo and motion estimation require finding corresponding features across two or more views.

CSE486, Penn State

Robert Collins

Motivation: Patch Matching

Camps, PSU

Task: find the best (most similar) patch in a second image Elements to be matched are image patches of fixed size

CSE486, Penn State

Robert Collins

Not all Patches are Created Equal!

Camps, PSU

Inituition: this would be a good patch for matching, since it is very distinctive (there is only one patch in the second frame that looks similar).

CSE486, Penn State

Robert Collins

Not all Patches are Created Equal!

Camps, PSU

Inituition: this would be a BAD patch for matching, since it is not very distinctive (there are many similar patches in the second frame)

CSE486, Penn State

Robert Collins

What are Corners?

M.Hebert, CMU

• They are good features to match!

CSE486, Penn State

Robert Collins

Corner Points: Basic Idea

C.Dyer, UWisc

• We should easily recognize the point by looking at intensity values within a small window • Shifting the window in any direction should yield a large change in appearance.

CSE486, Penn State

Robert Collins

Appearance Change in

Neighborhood of a Patch

Interactive

"demo"

CSE486, Penn State

Robert Collins

Harris Corner Detector: Basic Idea

C.Dyer, UWisc

Harris corner detector gives a mathematical

approach for determining which case holds.

CSE486, Penn State

Robert Collins

Harris Detector: Mathematics

C.Dyer, UWisc

CSE486, Penn State

Robert Collins

Harris Detector: Intuition

C.Dyer, UWisc

For nearly constant patches, this will be near 0.

For very distinctive patches, this will be larger.

Hence... we want patches where E(u,v) is LARGE.

CSE486, Penn State

Robert Collins

Taylor Series for 2D Functions

(Higher order terms)

First partial derivatives

Second partial derivatives

Third partial derivatives

First order approx

CSE486, Penn State

Robert Collins

Harris Corner Derivation

First order approx

Rewrite as matrix equation

CSE486, Penn State

Robert Collins

Harris Detector: Mathematics

C.Dyer, UWisc

Note: these are just products of

components of the gradient, Ix, Iy

Windowing function - computing a

weighted sum (simplest case, w=1)

CSE486, Penn State

Robert Collins

Intuitive Way to Understand Harris

Treat gradient vectors as a set of (dx,dy) points

with a center of mass defined as being at (0,0). Fit an ellipse to that set of points via scatter matrix

Analyze ellipse parameters for varying cases...

CSE486, Penn State

Robert Collins

Example: Cases and 2D Derivatives

M.Hebert, CMU

CSE486, Penn State

Robert Collins

Plotting Derivatives as 2D Points

M.Hebert, CMU

CSE486, Penn State

Robert Collins

Fitting Ellipse to each Set of Points

M.Hebert, CMU

λ1~λ2 = small

λ1 large; λ2 = small

λ1~λ2 = large

CSE486, Penn State

Robert Collins

Classification via Eigenvalues

C.Dyer, UWisc

CSE486, Penn State

Robert Collins

Corner Response Measure

C.Dyer, UWisc

CSE486, Penn State

Robert Collins

Corner Response Map

R=0 R=28 R=65 R=104 R=142 lambda1 lambda2 (0,0)

CSE486, Penn State

Robert Collins

Corner Response Map

R=0 R=28 R=65 R=104 R=142 lambda1 lambda2 |R| small "Flat"

R < 0 "Edge"

R < 0 Edge

R large

"Corner"

CSE486, Penn State

Robert Collins

Corner Response Example

Harris R score.

Ix, Iy computed using Sobel operator

Windowing function w = Gaussian, sigma=1

CSE486, Penn State

Robert Collins

Corner Response Example

Threshold: R < -10000

(edges)

CSE486, Penn State

Robert Collins

Corner Response Example

Threshold: > 10000

(corners)

CSE486, Penn State

Robert Collins

Corner Response Example

Threshold: -10000 < R < 10000

(neither edges nor corners)

CSE486, Penn State

Robert Collins

Harris Corner Detection Algorithm

M.Hebert, CMU

6. Threshold on value of R. Compute nonmax suppression.

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