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--- visual3d:documentation:pipeline:expressions:least_squares_fitting_of_data [2024/10/21 20:20] – Cleaned up page as part of review and added internal links. wikisysop
+++ visual3d:documentation:pipeline:expressions:least_squares_fitting_of_data [2025/01/24 18:53] (current) – [Best Fit Plane] wikisysop
@@ Line 6: / Line 6: @@
 **Best_Fit_Plane**(signal, start_event_signal, end_event_signal) - Finds a plane that fits the path of a point from a start event to an end event. [[https://en.wikipedia.org/wiki/Plane_%28geometry%29#Point-normal_form_and_general_form_of_the_equation_of_a_plane|The resulting plane is defined by 4 components]].
+The general form of the equation of a plane in 3D is ax+by+cz+d = 0 where 𝑎, 𝑏, and 𝑐 are the components of the normal vector which is perpendicular to the plane or any vector parallel to the plane.
+If (𝑥0,𝑦0,𝑧0)is a point that lies on the plane, then 𝑑=−(𝑎𝑥0+𝑏𝑦0+𝑐𝑧0) and as 𝑎𝑥+𝑏𝑦+𝑐𝑧−(𝑎𝑥0+𝑏𝑦0+𝑐𝑧0)=0.
+The result of the Best_Fit_Plane function is a signal with the fource components (a,b,c,d)
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