fisheye removel for 4:3 max superview

gopro_4:3_maxlens/compute_gopro_4:3_maxlens.py

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+# RozK
+# Computes fisheye removal parameters for GoPro 11+, 4:3 ratio, Max SuperView,
+# keeping the vertical FOV and widening the frame to preserve the diagonal FOV
+
+# https://www.bobatkins.com/photography/technical/field_of_view.html
+# https://community.gopro.com/s/article/HERO11-Black-Mini-Digital-Lenses-FOV-Information?language=fr
+
+import math
+
+frame_width = 4
+frame_height = 3
+input_ratio = frame_width / frame_height
+
+input_vertical_fov = 108.0
+input_diagonal_fov = 169.0
+
+input_vertical_length = math.radians(input_vertical_fov * 0.5)
+input_diagonal_length = math.radians(input_diagonal_fov * 0.5)
+
+output_horizontal_length = math.sqrt((input_diagonal_length ** 2) / (input_vertical_length ** 2))
+output_diagonal_length = math.hypot(output_horizontal_length, input_vertical_length)
+output_diagonal_fov = math.degrees(math.atan(output_diagonal_length)) * 2.0
+
+output_ratio = 1.0 / (output_horizontal_length / input_vertical_length)
+
+print("Output FOV   = %f" % output_diagonal_fov)
+print("Output Ratio = %f" % output_ratio)
+print("= Resolutions =====================")
+
+def width_rounded_8(height):
+    width = int(round(height * input_ratio))
+    return ((width + 4) // 8) * 8
+
+print("HD             = %i x 720" % width_rounded_8(720))
+print("Full HD        = %i x 1080" % width_rounded_8(1080))
+print("4K             = %i x 2160" % width_rounded_8(2160))