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Questions and Answers
What is the correct representation of a color in floating-point format for RGB?
What is the correct representation of a color in floating-point format for RGB?
- c ∈ R3[0,1] (correct)
- c ∈ Z3[0,255]
- c ∈ Z4[0,255]
- c ∈ R4[0,1]
Which of the following statements about fixed-point representation is true?
Which of the following statements about fixed-point representation is true?
- RGB and RGBA use the same representation
- RGBA values are represented as c ∈ Z3[0,255]
- RGBA values are represented as c ∈ Z4[0,255] (correct)
- RGB values are represented as c ∈ R3[0,1]
What is the main purpose of RGB color spaces?
What is the main purpose of RGB color spaces?
- To represent colors in a binary format
- To represent colors in the invisible spectrum
- To display only grayscale images
- To process images using trichromacy (correct)
Hyper-spectral imaging allows for which of the following?
Hyper-spectral imaging allows for which of the following?
How is an image conceptually represented as a collection of pixels?
How is an image conceptually represented as a collection of pixels?
Which of the following best describes 'color spaces'?
Which of the following best describes 'color spaces'?
Which color representation is used when working with 8-bit fixed-point representation for RGB?
Which color representation is used when working with 8-bit fixed-point representation for RGB?
Which of the following represents the relationship between color perception and light?
Which of the following represents the relationship between color perception and light?
How is a grayscale image with resolution H × W with floating-point representation described mathematically?
How is a grayscale image with resolution H × W with floating-point representation described mathematically?
What is the correct mathematical representation of a grayscale image with 8-bit fixed-point representation?
What is the correct mathematical representation of a grayscale image with 8-bit fixed-point representation?
For a grayscale image represented with a 16-bit fixed-point representation, which of these is true?
For a grayscale image represented with a 16-bit fixed-point representation, which of these is true?
Which option correctly describes an RGB image mathematically?
Which option correctly describes an RGB image mathematically?
What is implied by the term 'color table' in image storage?
What is implied by the term 'color table' in image storage?
For an uncompressed FHD RGB image resolution, what is the minimum size in bytes, excluding header?
For an uncompressed FHD RGB image resolution, what is the minimum size in bytes, excluding header?
What is the minimum size in bytes for storing an uncompressed RGBA image at FHD resolution, excluding header?
What is the minimum size in bytes for storing an uncompressed RGBA image at FHD resolution, excluding header?
In hyper-spectral imaging, how is the representation of image channels typically characterized?
In hyper-spectral imaging, how is the representation of image channels typically characterized?
What is the representation of an RGB image with resolution H × W?
What is the representation of an RGB image with resolution H × W?
Which of the following best describes a hyper-spectral image?
Which of the following best describes a hyper-spectral image?
What is the most commonly used fixed-point representation for images?
What is the most commonly used fixed-point representation for images?
How are the channels of a color image typically denoted?
How are the channels of a color image typically denoted?
In floating-point representation, which bit depth is least likely to be used for color channels?
In floating-point representation, which bit depth is least likely to be used for color channels?
What is the structure of an image with resolution H × W and C channels in floating-point format?
What is the structure of an image with resolution H × W and C channels in floating-point format?
Which of the following statements about pixel representation is true?
Which of the following statements about pixel representation is true?
What differentiates RGBA images from RGB images?
What differentiates RGBA images from RGB images?
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Study Notes
Image Representation Fundamentals
- A pixel is the smallest unit of an image, displaying a uniform color.
- Resolution of an image is denoted as H × W, representing height (H) and width (W).
- An image is viewed as a bounded two-dimensional space limited on all sides.
Camera Sensor Functionality
- Optical camera sensors capture colored signals through their shutter.
- Sensors convert incoming signals into energy/intensity for each red, green, and blue (RGB) wavelength.
- Signals are continuous in space but are sampled discretely to create images.
Image Channels
- Each channel (e.g., R, G, B, A) represents a different color component.
- An RGB image consists of three channels, while an RGBA image contains four channels.
- Hyper-spectral images can capture more than three channels, incorporating ultra- and infra-optical spectra.
Image Representation in Different Formats
- Floating-Point Representation: Represents colors in 16-bit, 32-bit, or 64-bit precision.
- RGB image is expressed as x ∈ R³×H×W [0,1].
- RGBA image is expressed as x ∈ R⁴×H×W [0,1].
- 8-Bit Fixed-Point Representation: Generally uses 8-bit per channel.
- RGB image is expressed as x ∈ Z₃×H×W [0,255].
- RGBA image is expressed as x ∈ Z₄×H×W [0,255].
Grayscale Image Representation
- A grayscale image with floating-point representation can be described as x ∈ R¹×H×W [0,1].
- For 8-bit fixed-point representation, it is described as x ∈ Z¹×H×W [0,255].
- In 16-bit fixed-point representation, it is described as x ∈ Z¹×H×W [0,65535].
Storage Requirements for Uncompressed Images
- Minimum size for storing FHD resolution RGB image (1920×1080):
- Size = H × W × 3 bytes + H bytes (for header).
- Minimum size for storing FHD resolution RGBA image:
- Size = H × W × 4 bytes + H bytes (for header).
Color Theory Overview
- Color is the visual perception linked to the electromagnetic spectrum and varies based on object light absorption and reflection characteristics.
RGB Color Model
- Human perception of color involves trichromacy, utilizing three types of cone cells sensitive to different light wavelengths.
- Common RGB representation includes a 3-vector in machine format:
- Color in floating-point: c ∈ R³ [0,1].
- Color in 8-bit fixed-point: c ∈ Z³ [0,255].
Image Composition
- An image can be conceptually divided into a rectangular grid composed of individual pixels.
- Each pixel in the grid corresponds to a specific visual component of the overall image.
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