How do you interpolate in 3D?
Company: Dandy
Role: Machine Learning Engineer
Category: Software Engineering Fundamentals
Difficulty: medium
Interview Round: HR Screen
Given two points in 3D space, `p0 = (x0, y0, z0)` and `p1 = (x1, y1, z1)`, how do you compute a point between them using interpolation? Define the interpolation parameter, provide the formula, and explain its geometric meaning. Also state what happens when the parameter is outside the usual range.
Quick Answer: This question evaluates understanding of parametric interpolation and geometric reasoning in three-dimensional space, covering concepts such as vector relationships, parameterization, and the geometric meaning of points between or beyond given endpoints.