Use 'interpolate' to describe adding thoughts to a discussion, making it active participation.

Conversation Insertion

'Interpolate' can imply interruption or unwelcome input in a conversation or text.

Not Always Welcome

'Interpolate' is also used to describe editors inserting text into an original manuscript.

Literary Usage

Mathematical 'interpolation' means calculating unknowns within known ranges.

Guessing Numbers

Interpolation finds the middle ground between two data points in a sequence or graph.

Between Known Points

Use 'interpolate' in computing for creating seamless changes from one image to another.

Smooth Transitions

In graphics, 'interpolate' refers to adding frames that help animations look real.

Enhancing Realism

 essentially by projecting the image onto that geometry that you can interpolate that you can create alternate views that aren't the view that the original image was taken from and it's the process of projecting the images onto that geometry