surf in triangle are / inpolygon - triangular ?

hi i need some help for surffing in a restricted are such as triangle. i need to surf an equaion like this inside of a triangle area. (2076395481264383616492724694233*x^2)/13846124950206145632821785814630400000 + (11526310362537213*x*y)/57646075230342348800000 + (22148802965162135097748811617637*x)/830767497012368737969307148877824000 + (3842103454179071*y^2)/57646075230342348800000 - (3842103454179071*y)/2305843009213693952000

first i tried ezsurf but i couldnt plot in a restricted area. then i tried to meshgrid (x,y) in small rectangular area, then i used inpolygon function. but the result is not in a triangle are. it will be in a rectangular area. i dont know how to define triangle area by this function X coordinates of triangle are for example: X1 X2 X3 and Y coordinate is Y1,Y2,Y3

i tried this code but its not right nnx = (xmax - xmin) / 10; nny = (ymax - ymin) / 10; xx= xmin:nnx:xmax; yy= ymin:nny:ymax;

        oneTriangleX = [XRANGE(1), XRANGE(2), XRANGE(3)];
      oneTriangleY = [YRANGE( 1), YRANGE(2), YRANGE(3)];
isin=inpolygon(xx ,yy , oneTriangleX, oneTriangleY);
Xin = xx(isin);
Yin = yy(isin);
[X,Y]=meshgrid(Xin,Yin);
    syms x y 
G1 = subs(plate_eq(i), [x y], {X,Y});
G1 = double(G1);

surf(X , Y , G1)

so the question is how can i surf an equation in a triangle restricted area, and how can i define the edge of this restricted area.

if U dont know how, this is my second question. we can use inpolygon function to find those points which are in an area, but how can i define the triangle area. should i use the meshgrid after inpolygon or befor that?

by the way i have many of these triangles and functions to surf inside of them.

Answer 1

[pourya mazaheri]

sorry i couldnt edit my question so i will ask it again

hi i need some help for surffing in a restricted area such as triangle. i need to surf an equaion like this inside of a triangle area.

 (2076395481264383616492724694233*x^2)/13846124950206145632821785814630400000 + (11526310362537213*x*y)/57646075230342348800000 + (22148802965162135097748811617637*x)/830767497012368737969307148877824000 + (3842103454179071*y^2)/57646075230342348800000 - (3842103454179071*y)/2305843009213693952000

first i tried ezsurf but i couldnt plot in a restricted area.

ezsurf(plate_eq(i),[xmin xmax ymin ymax])

it would be great if i could define a triangle restricted domain for this function like [xmin xmax ymin ymax]) but in a triangle way. i tried a lot but i couldnt.

then i tried to meshgrid (x,y) in small rectangular area, then i used inpolygon function. but the result is not in a triangle are. it will be in a rectangular area. i dont know how to define triangle area by this function X coordinates of triangle are for example: X1 X2 X3 and Y coordinate is Y1,Y2,Y3

i tried this code but its not right

 nnx = (xmax - xmin) / 10;
     nny = (ymax - ymin) / 10;
  xx= xmin:nnx:xmax;
  yy= ymin:nny:ymax;
        oneTriangleX = [XRANGE(1), XRANGE(2), XRANGE(3)];
      oneTriangleY = [YRANGE( 1), YRANGE(2), YRANGE(3)];
isin=inpolygon(xx ,yy , oneTriangleX, oneTriangleY);
Xin = xx(isin);
Yin = yy(isin);
[X,Y]=meshgrid(Xin,Yin);
    syms x y 
G1 = subs(plate_eq(i), [x y], {X,Y});
G1 = double(G1);
surf(X , Y , G1)

so the question is how can i surf an equation in a triangle restricted area, and how can i define the edge of this restricted area.

if U dont know how, this is my second question. we can use inpolygon function to find those points which are in an area, but how can i define the triangle area. should i use the meshgrid after inpolygon or befor that?

by the way i have many of these triangles and functions to surf inside of them.