(i) Find the spatial resolution of an image if the scene of size 4 m by 4 m is represented by

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(i) Find the spatial resolution of an image if the scene of...

(i) Find the spatial resolution of an image if the scene of size $4 \mathrm{~m}$ by $4 \mathrm{~m}$ is represented by a $256 \times 256$ image. (ii) Find the spatial resolution of an image if the scene of size $10 \mathrm{~km}$ by $10 \mathrm{~km}$ is represented by a $4096 \times 4096$ image. (iii) Find the spatial resolution of an image if the scene of size $7 \mathrm{~mm}$ by $7 \mathrm{~mm}$ is represented by a $1024 \times 1024$ image.

(i) Find the spatial resolution of an image if the scene of size $4 \mathrm{~m}$ by $4 \mathrm{~m}$ is represented by a $256 \times 256$ image.
(ii) Find the spatial resolution of an image if the scene of size $10 \mathrm{~km}$ by $10 \mathrm{~km}$ is represented by a $4096 \times 4096$ image.
(iii) Find the spatial resolution of an image if the scene of size $7 \mathrm{~mm}$ by $7 \mathrm{~mm}$ is represented by a $1024 \times 1024$ image.

Key Concepts

Pixel Dimensions

Pixel dimensions refer to the total number of pixels horizontally and vertically in an image, such as 256 x 256 or 4096 x 4096. These dimensions are critical in mapping the real-world scene to its digital representation, as they determine how the physical area is partitioned into discrete units. Knowing the pixel count allows for the calculation of the spatial resolution by showing how the overall scene size is distributed among pixels.

Unit Consistency and Conversion

Unit consistency is essential when calculating spatial resolution because the scene's physical dimensions must be measured in the same units as the desired resolution output. Whether the units are meters, kilometers, or millimeters, maintaining uniformity ensures accurate computation. Conversion between units may be necessary to present the resolution in understandable or required terms while avoiding errors in calculations.

Spatial Resolution

Spatial resolution is the measure of the smallest physical detail that can be discerned in an image. It is commonly expressed as the physical size (e.g., meters, kilometers, or millimeters) represented by one pixel. In the context of digital imaging, it is obtained by dividing the dimensions of the actual scene by the number of pixels along that same dimension, thereby indicating how much detail of the scene is captured by each pixel.

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