From d768b4a0bd911028852418d751e9278e38ec1cf1 Mon Sep 17 00:00:00 2001 From: Tanner J Swanson Date: Fri, 13 Dec 2024 14:42:03 -0500 Subject: [PATCH] Joseph's raytracer --- raytrace.py | 122 +++++++++++++++++++++++++++++++++++++++++++ sample_Hull_Mesh.stl | Bin 0 -> 15210184 bytes 2 files changed, 122 insertions(+) create mode 100644 raytrace.py create mode 100644 sample_Hull_Mesh.stl diff --git a/raytrace.py b/raytrace.py new file mode 100644 index 0000000..72eaae4 --- /dev/null +++ b/raytrace.py @@ -0,0 +1,122 @@ +import numpy as np +import stl +# TODO: Documentation + + +def load_triangle_from_stl(path): + mesh = stl.Mesh.from_file(path) + triangle_list = np.array([mesh.v0, mesh.v1, mesh.v2]).swapaxes(0, 1) + return triangle_list + + +def simple_raytrace(triangle_list, direction_vector, camera_origin): + best_dist = float('inf') + + for triangle in triangle_list: + dist = triangle_ray_intersection( + triangle, direction_vector, camera_origin + ) + if dist == -1: + continue + if dist < best_dist: + best_dist = dist + return best_dist +def array_raytrace(triangle_list, direction_vector, camera_origin): + out = batch_triangle_ray_intersection(triangle_list, direction_vector, camera_origin) + out[out < 0] = np.inf + return np.min(out) + +def triangle_ray_intersection(triangle, ray, ray_origin = np.zeros(3)): + # Translated from https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm#C++_implementation + epsilon = 1e-10 + + v0, v1, v2 = triangle + edge1 = v1 - v0 + edge2 = v2 - v0 + ray_cross_e2 = np.cross(ray, edge2) + det = np.dot(edge1, ray_cross_e2) + + if -epsilon < det < epsilon: + return -1 # This ray is parallel to this triangle. + + inv_det = 1.0 / det + s = ray_origin - v0 + u = inv_det * np.dot(s, ray_cross_e2) + + if u < -epsilon or 1 < u: + return -1 + + s_cross_e1 = np.cross(s, edge1) + v = inv_det * np.dot(ray, s_cross_e1) + + if v < -epsilon or 1 < u + v: + return -1 + + # At this stage we can compute t to find out where the intersection point is on the line. + t = inv_det * np.dot(edge2, s_cross_e1) + + if t > epsilon: # ray intersection + return t + + else: # This means that there is a line intersection but not a ray intersection. + return -1 +def batch_triangle_ray_intersection(triangle_array, ray, ray_origin = np.zeros(3)): + # Translated from https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm#C++_implementation + epsilon = 1e-10 + tr = triangle_array[:] + triangle_array_comp = triangle_array.swapaxes(0, 1) + v0, v1, v2 = triangle_array_comp[0], triangle_array_comp[1], triangle_array_comp[2] + + np.subtract(v1, v0, out= v1) + np.subtract(v2, v0, out= v2) + + ray_cross_e2 = np.cross(ray, v2) + det = np.vecdot(v1, ray_cross_e2) + + # if -epsilon < det < epsilon: + # return None # This ray is parallel to this triangle. + np.seterr(divide='ignore') + inv_det = 1.0 / det + s = ray_origin - v0 + u = inv_det * np.vecdot(s, ray_cross_e2) + + s_cross_e1 = np.cross(s, v1) + v = inv_det * np.vecdot(ray, s_cross_e1) + + valid = u < -epsilon + np.logical_or(valid, 1 < u, out=valid) + np.logical_or(valid, v < -epsilon, out=valid) + np.logical_or(valid, 1 < u + v, out=valid) + np.invert(valid, out=valid) + + t = np.empty(triangle_array.shape[0], dtype=np.float64) + t.fill(-1) + + np.multiply(inv_det, np.vecdot(v2, s_cross_e1), out = t, where = valid) + return t + + +def vector_square_length(vec): + return vec.dot(vec) +def vector_length(vec): + return np.sqrt(vector_square_length(vec)) + +if __name__ == '__main__': + origin = np.array([0, 0, 0]) + ray = np.array([0, 0, 1]) + + # triangle_list = np.array([[[-2, -2, 2], [2, -2, 2], [0, 4, 2]]]) + triangle_list = load_triangle_from_stl("sample_Hull_Mesh.stl") + + # Triangles that intersect + # When origin = (0, 0, 0) and ray = (0, 0, 1) + # [20252, 102434, 149679, 171530, 253712, 300957, 302603] + + import time + start_time = time.time() + distance = array_raytrace(triangle_list, ray, origin) + end_time = time.time() + + print('Triangles:', triangle_list.shape[0]) + print('Distance:', distance) + print('Time:', end_time - start_time, 'seconds') \ No newline at end of file diff --git a/sample_Hull_Mesh.stl b/sample_Hull_Mesh.stl new file mode 100644 index 0000000000000000000000000000000000000000..d096538c2fd66ed762694d4800ad09ccac6cb0ce GIT binary patch literal 15210184 zcmZ^sb$nFkx<&^}aDux-aS878rD&lo6o=wc+=@dBgB5poclVhI5?l(!-GaNd6pG(@ zza(d`Z{NxJ=RUvtJgY13-cwG2l+(3$m+t)w^z79+OYWitg9{ePlch-EBE<>>2Nwt~ zoh7(r<;M)GiWSRal1XB)F1nI-)LTLt^>2r)>^@ z1Xq$xN7UtPNTgYN(dO_+a3$HlgAIwX$!|pCAis^7agg9jvgwGroDGS9X^CwPe*{;OO-Iz_Y)Gi1No@{)1Xq&% zJJ^sI@F_(!4ia2RHXTuyvmvpya2lJ#AHkJm(-Cz!8xqgkq_;Wz5nM_3?_fhB*X&Hu zI7o0M*>pr*&W1#blUZ#Je*{;OO-Iz_Y)H(Bk<;ezM{p(Czk>~l^Tl&V;~>G6WYZCK zIU5p*I_9%E{1IG9HXTuyvmsG+K|!0tAHkJm{|+`JhMWzK#zBHB$)+RfayBHq0mW?& ze*{;OO-Iz_Y)HH*Q_AM>M{p(Czk>~lg5AnS;~>G6WYZCKIU5q~mR7Ji{1IG9HXTuy zvmvqgQi#prkKjtOe+L^9*Ai5Y#zBHB$^IQ|NTgKNqH&PmN-`X;a&L@!x@<`N*sF%K 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