How to Convert a Number Range While Preserving Ratio?

Converting a Number Range While Preserving Ratio

Mapping a range of numbers to another while maintaining the proportional relationships can be a useful task in data manipulation and image processing. This transformation ensures that all values within the original range are proportionally represented in the new range.

To achieve this, we can use the following formula:

NewValue = (((OldValue - OldMin) * (NewMax - NewMin)) / (OldMax - OldMin)) + NewMin

where:

• OldValue is the original value to be converted
• OldMin and OldMax represent the minimum and maximum values of the original range, respectively
• NewMin and NewMax represent the minimum and maximum values of the new range, respectively

This formula ensures that the ratio of values is preserved between the original and new ranges. In other words, if a value in the original range is twice as large as another value, its corresponding value in the new range will also be twice as large.

For example, if we have an image file with point values ranging from -16000.00 to 16000.00 and want to compress them into the integer range 0-100, we can use the formula as follows:

NewValue = (((OldValue - (-16000.00)) * (100 - 0)) / (16000.00 - (-16000.00))) + 0

This ensures that the original value range is linearly mapped to the new range, preserving the ratios between the values.

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