Image Analysis Basics
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Questions and Answers

What is the first stage of the image analysis process?

  • Preprocessing (correct)
  • Feature Analysis
  • Transformation
  • Data Reduction
  • Which statement is true regarding 4-neighbors of a pixel?

  • They consist of four horizontal and vertical pixels. (correct)
  • They touch only the corners of the pixel.
  • They include diagonal neighbors.
  • They are irrelevant to image processing.
  • How are diagonal neighbors denoted in pixel coordinate relationships?

  • N4(p)
  • N2(p) (correct)
  • N8(p)
  • N4e(p)
  • Which distance measure condition ensures that the distance is always non-negative?

    <p>D(p, q) &gt;= 0</p> Signup and view all the answers

    What does data reduction in image analysis primarily involve?

    <p>Transforming data into the frequency domain.</p> Signup and view all the answers

    What are 8-neighbors of a pixel?

    <p>Both 4-neighbors and diagonal neighbors.</p> Signup and view all the answers

    Which of the following best describes the features analysis stage?

    <p>Extracted features are evaluated for application use.</p> Signup and view all the answers

    Which neighbor configuration includes both horizontal and diagonal connections?

    <p>8-neighbors</p> Signup and view all the answers

    What is the value of C(1,1) obtained from the convolution of matrices A and B?

    <p>630</p> Signup and view all the answers

    In the convolution of matrices A and B, what is the value of C(2,2)?

    <p>600</p> Signup and view all the answers

    Which MATLAB command is used to calculate the convolution of two matrices?

    <p>conv2</p> Signup and view all the answers

    What does the parameter 'same' signify in the MATLAB function conv2?

    <p>Returns a result of the same size as A</p> Signup and view all the answers

    How many total elements were considered to calculate the probability P(20)?

    <p>36</p> Signup and view all the answers

    What value corresponds to P(255) in the histogram calculation?

    <p>0.1111</p> Signup and view all the answers

    What is the main advantage of using bilinear interpolation over nearest neighbor interpolation?

    <p>It produces smoother images.</p> Signup and view all the answers

    In the context of convolution operations, what does matrix B represent?

    <p>A kernel or filter for convolution</p> Signup and view all the answers

    What does image shrinking involve?

    <p>Mapping groups of pixels to a single pixel.</p> Signup and view all the answers

    Which statistical representation is calculated from image data as per the histogram problem?

    <p>Probability distribution of pixel intensities</p> Signup and view all the answers

    Which operation is fundamental to linear neighborhood-oriented image processing algorithms?

    <p>Convolution and correlation.</p> Signup and view all the answers

    When performing a convolution operation, what is the initial step with the second array?

    <p>Mirror it and align its center with the first array.</p> Signup and view all the answers

    What does the convolution operation calculate for each pixel?

    <p>A weighted sum of the pixel values and their neighbors.</p> Signup and view all the answers

    If an image is shrunk by one-half, which of the following describes how it is achieved?

    <p>Alternate rows and columns are deleted.</p> Signup and view all the answers

    In the example of convolution with arrays A and B, what is the role of the empty spots during calculation?

    <p>They are calculated as zero.</p> Signup and view all the answers

    Which of the following is NOT a characteristic of bilinear interpolation?

    <p>It can result in sharper images compared to nearest neighbor.</p> Signup and view all the answers

    What is the formula for Euclidean distance between points 𝑝 and 𝑞?

    <p>$D(p, q) = (x - s)^2 + (y - t)^2$</p> Signup and view all the answers

    Which of the following describes the city-block distance between two points?

    <p>$D(p, q) = |x - s| + |y - t|$</p> Signup and view all the answers

    What effect does nearest neighbor interpolation have on an image?

    <p>It introduces a checkerboard effect.</p> Signup and view all the answers

    In bilinear interpolation, how is the pixel value determined between two adjacent pixels?

    <p>By averaging the two pixel values.</p> Signup and view all the answers

    What is the maximum size of the zoomed image when performing bilinear interpolation on an M×N image?

    <p>(2M-1) x (2N-1)</p> Signup and view all the answers

    What is one of the requirements for zooming an image?

    <p>Creating new pixel locations.</p> Signup and view all the answers

    Which distance metric uses the formula $D(p, q) = max(|x - s|, |y - t|)$?

    <p>Chessboard distance</p> Signup and view all the answers

    What is the main visual effect caused by using bilinear interpolation?

    <p>Blurring</p> Signup and view all the answers

    What is the value produced by the convolution calculation (3 × (−1)) + (2 × 3) + (1 × 1)?

    <p>4</p> Signup and view all the answers

    In a 2D convolution, when is mirroring of the mask performed?

    <p>Before shifting the mask across the image</p> Signup and view all the answers

    Which of the following forms the basis of a histogram of an image?

    <p>The number of pixels at each color value</p> Signup and view all the answers

    What does the convolution operation primarily involve?

    <p>Sliding a mask and multiplying corresponding values</p> Signup and view all the answers

    What is the final result stored in the array after the convolution operation described?

    <p>{1, 5, 8, 8, 4, 1, −1}</p> Signup and view all the answers

    How is the floor operator indicated in mathematical notation?

    <p>⌊x⌋</p> Signup and view all the answers

    When shifting the 2D mask, what is the starting point of the process?

    <p>The top left pixel of the image</p> Signup and view all the answers

    What does the variable nk represent in the context of image histograms?

    <p>The number of pixels having the gray level r%</p> Signup and view all the answers

    What does the normalized histogram equation $P(r ext{ %}) = n ext{ %} / n$ represent?

    <p>The estimate of the probability of occurrence of gray level $r ext{ %}$</p> Signup and view all the answers

    In a low contrast image, the histogram is characterized by which of the following?

    <p>Narrow width and centered towards the middle of the gray scale</p> Signup and view all the answers

    Which convolution case results in a length that is the size of the first vector plus the size of the second vector minus one?

    <p>Full</p> Signup and view all the answers

    What does a histogram concentrated on the low side of the gray scale indicate about an image?

    <p>It is a dark image</p> Signup and view all the answers

    What is the result of the convolution of vectors $u=[1, 0, 1]$ and $v=[2, 7]$ in the valid case?

    <p>[2, 7]</p> Signup and view all the answers

    In image processing, what does a histogram skewed toward the high side of the gray scale indicate?

    <p>The image has very high brightness</p> Signup and view all the answers

    In the same case of convolution with zero padding for $u=[1, 0, 1]$ and $v=[2, 7]$, what is the first convolution result?

    <p>7</p> Signup and view all the answers

    Which of the following statements is true regarding the sum of all components of a normalized histogram?

    <p>It is equal to 1</p> Signup and view all the answers

    Study Notes

    Image Analysis

    • Image analysis manipulates image data to solve computer imaging problems.
    • The process has three main stages: preprocessing, data reduction, and feature analysis.

    Preprocessing

    • This stage addresses obvious and simple requirements.
    • Examples include removing artifacts or unnecessary information (like borders from digitized film).

    Data Reduction

    • Either reduces data in the spatial domain or converts it to the frequency domain.
    • Features can then be extracted for further analysis.

    Feature Analysis

    • Examines and evaluates extracted features for their application value.

    Basic Relationships Between Pixels

    • A pixel's neighbors are defined by their spatial relationships.
      • 4-neighbors are horizontal and vertical neighbors.
      • Diagonal neighbors are those diagonally adjacent.
      • 8-neighbors include both 4-neighbors and diagonal ones.

    Distance Measures

    • Distance metrics quantify the separation between pixels.
      • Euclidean distance: √((x₁-x₂)² + (y₁-y₂)²).
      • City-block distance: |x₁-x₂| + |y₁-y₂|.
      • Chessboard distance: max(|x₁-x₂|, |y₁-y₂|).

    Zooming and Shrinking

    • Zooming involves over-sampling and scaling.
      • Two steps are needed: new pixel location creation and gray level assignment.
        • Nearest neighbor and bilinear interpolation are common methods for assignment.

    Convolution

    • A mathematical operation processing images by computing a weighted sum of pixel values and neighbors.
      • Used in image processing algorithms for various tasks.

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    Description

    This quiz covers the fundamental concepts of image analysis. It explores the three main stages of image processing: preprocessing, data reduction, and feature analysis. Additionally, it touches upon the relationships between pixels and various distance measures.

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