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Sigmoid interpolation leverages the sigmoid function—a mathematical function with an S-shaped curve—to smoothly transition between data points. This approach is particularly useful in scenarios requiring gradual changes, such as blending animations or adjusting control parameters in a user interface.

In practical applications, sigmoid interpolation can be implemented by applying the sigmoid function to the interpolation parameter. This method ensures that transitions start slowly, accelerate in the middle, and decelerate as they approach the target value, resulting in a natural and smooth progression.

For instance, in animation, using sigmoid interpolation can create more lifelike movements by avoiding abrupt starts and stops. Similarly, in user interface design, it can enhance the responsiveness of controls, making adjustments feel more intuitive and less mechanical.

By incorporating sigmoid interpolation, developers can achieve smoother transitions and more natural behaviors in their applications, enhancing user experience and visual appeal.

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