So far we have seen two geometric viewpoints (distance & area) to interpolate values inside. Are there any rules or norms to help us determine when to use which? Or this choice is commonly made subjectively?
briana-jin-zhang
This is true because the area of AA is the height α times the length of BC¯ and 1/2, so if we say distance from point A to BC is 1 WLOG to find the ratio, then the area of the triangle is then length of BC * 1/2. So the result is of AA over the entire area of the triangle is α
KindaCallam-io
Are there any advantages or disadvantages to the different ways of computing these Barycentric Coordinates?
So far we have seen two geometric viewpoints (distance & area) to interpolate values inside. Are there any rules or norms to help us determine when to use which? Or this choice is commonly made subjectively?
This is true because the area of AA is the height α times the length of BC¯ and 1/2, so if we say distance from point A to BC is 1 WLOG to find the ratio, then the area of the triangle is then length of BC * 1/2. So the result is of AA over the entire area of the triangle is α
Are there any advantages or disadvantages to the different ways of computing these Barycentric Coordinates?