Simplified Barycentric Code, Need a Mathematician. I have tried to solve this problem for days. I am using the barycentric formula to find the height of a point within a triangle. Here is a link to the formula: http://bit.ly/2CZDuS4. The problem I am having is that when I change just the x value of the point the height of the point is not changing. An image of the output is attached. The code that I am sharing is simplified. Edit: Sorry about the spacing, I forgot. Code demonstrating point's height not changing: /////////////////////////////////// //these are the points of the triangle. p3 = { 19,19, .0 }; p1 = { 18,20,.5 }; p2 = { 18,19, .0 }; pointx = 18.6; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); fprintf(stderr, "\n\n\ntriangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "1: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//2: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "2: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.2; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//3: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "3: pointx: %f pointy: %f height: %f\n\n", pointx, pointy, answer); p3 = { 19,19, .1 }; p1 = { 18,20,.5 }; p2 = { 18,19, .1 }; pointx = 18.6; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); fprintf(stderr, "\n\n\ntriangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "1: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//2: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "2: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.2; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//3: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "3: pointx: %f pointy: %f height: %f\n\n", pointx, pointy, answer); /////////////////////////// Code of the used barycentric formula: float getheightbarrycentric(glm::vec3 p1, glm::vec3 p2, glm::vec3 p3, float pointx, float pointy) { float det = (((p2.y - p3.y)*(p1.x - p3.x)) + ((p3.x - p2.x)*(p1.y - p3.y))); float lambda1 = (((p2.y - p3.y)*((pointx)-p3.x)) + ((p3.x - p2.x)*((pointy)-p3.y))); lambda1 = (lambda1 / det); float lambda2 = (((p3.y - p1.y)*((pointx)-p3.x)) + ((p1.x - p3.x)*((pointy)-p3.y))); lambda2 = (lambda2 / det); float lambda3 = (1 - lambda1 - lambda2); float heightz = ((lambda1*p1.z) + (lambda2*p2.z) + (lambda3*p3.z)); return(heightz); } Also, I have shared an attached image of the triangle's coordinates and values. The circled numbers are the number of the points of the triangle (p1,p2,p3). Please help me, I'm lost! Josheir https://ift.tt/eA8V8J
I have tried to solve this problem for days. I am using the barycentric formula to find the height of a point within a triangle. Here is a link to the formula: http://bit.ly/2CZDuS4. The problem I am having is that when I change just the x value of the point the height of the point is not changing. An image of the output is attached. The code that I am sharing is simplified. Edit: Sorry about the spacing, I forgot. Code demonstrating point's height not changing: /////////////////////////////////// //these are the points of the triangle. p3 = { 19,19, .0 }; p1 = { 18,20,.5 }; p2 = { 18,19, .0 }; pointx = 18.6; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); fprintf(stderr, "\n\n\ntriangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "1: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//2: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "2: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.2; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//3: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "3: pointx: %f pointy: %f height: %f\n\n", pointx, pointy, answer); p3 = { 19,19, .1 }; p1 = { 18,20,.5 }; p2 = { 18,19, .1 }; pointx = 18.6; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); fprintf(stderr, "\n\n\ntriangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "1: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.3; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//2: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "2: pointx: %f pointy: %f height: %f\n", pointx, pointy, answer); pointx = 18.7; pointy = 19.2; answer = getheightbarrycentric(p1, p2, p3, pointx, pointy); //fprintf(stderr, "//3: triangle_point1_height: %f trianglepoint2_height: %f trianglepoint3_height: %f\n", p1.z, p2.z, p3.z); fprintf(stderr, "3: pointx: %f pointy: %f height: %f\n\n", pointx, pointy, answer); /////////////////////////// Code of the used barycentric formula: float getheightbarrycentric(glm::vec3 p1, glm::vec3 p2, glm::vec3 p3, float pointx, float pointy) { float det = (((p2.y - p3.y)*(p1.x - p3.x)) + ((p3.x - p2.x)*(p1.y - p3.y))); float lambda1 = (((p2.y - p3.y)*((pointx)-p3.x)) + ((p3.x - p2.x)*((pointy)-p3.y))); lambda1 = (lambda1 / det); float lambda2 = (((p3.y - p1.y)*((pointx)-p3.x)) + ((p1.x - p3.x)*((pointy)-p3.y))); lambda2 = (lambda2 / det); float lambda3 = (1 - lambda1 - lambda2); float heightz = ((lambda1*p1.z) + (lambda2*p2.z) + (lambda3*p3.z)); return(heightz); } Also, I have shared an attached image of the triangle's coordinates and values. The circled numbers are the number of the points of the triangle (p1,p2,p3). Please help me, I'm lost! Josheir
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