如何在处理中计算两个给定点之间的点？

Question

I have two given coordinates, for example (20,30) and (90,40). How can I find out a point on the line between these two points?

I need to do this in processing but also a general mathematical solution would help me.

Answer 1

To find the midpoint, just use the midpoint formula:

float midX = (pOne.x + pTwo.x)/2;
float midY = (pOne.y + pTwo.y)/2;

To find another point on the line, you could use Processing's built-in lerp() function.

float midX = lerp(pOne.x, pTwo.x, .5);
float midY = lerp(pOne.y, pTwo.y, .5);

More info can be found in the reference .

Answer 2

You can interpolate with

x = (0, 1); // anything between 0 and 1
c = x * a + (1 - x) * b;

where a , b and c are points.

Answer 3

Java doesnt have lerp so here it is how it works in general

float lerp(float point1, float point2, float dist) {
    return point1 + dist * (point2 - point1);
}