Creating a inclined plane with an adjustable dome pattern cutout of it.

Question

Johnny Dessoulavy 2022-1-16

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1630145-creating-a-inclined-plane-with-an-adjustable-dome-pattern-cutout-of-it

评论： Johnny Dessoulavy 2022-1-17

I am trying to create a plane which is inclined at X angle. on this plane i want to be able to create multiple dome cutouts that have an adjustable radius and depth. The dome placements are not important as long as there is a pattern of them whihc can extend over a plane of MxN.

I have been able to create a the inlcined plane and the dome but havent been able to merge the two together. My code below just has a singular dome, but in reality I want multiple to go up and down the plane. I tried to get at least one dome on the plane (unsuccessful as of yet) before attempting to replicate it with rep element or something similar.

Effectively, I am trying to create a surface of a golf ball on this inclined plane.

clc; clear all; close all

nrow = 94; ncol = 200; angle = 20; xsize = 2000; ysize = 2000;

%% Setting the flat plane

angle = angle; % angle in degrees

dx = xsize/ncol; dy = ysize/nrow;

angle = angle*pi/180;

r = 10;

z_flat=zeros(nrow,ncol);

for j=1:nrow

for i=1:ncol

z_flat(j,i) = (i-1)*dx*sin(angle);

end

%% Setting the rows and columns into a meshed matrix to generate x and y coordinates

dx_mat = linspace(0,xsize,length(z_flat));

dy_mat = linspace(0,ysize,height(z_flat));

[x y] = meshgrid(dx_mat, dy_mat);

%% Creating the Dome

R = 10;

[X,Y] = meshgrid(-R:.1:R);

Z = (-sqrt(R.^2 - X.^2 - Y.^2))/(ceil(0.9*R));

Z(imag(Z) ~= 0) = 0;

mesh(X,Y,Z);

Z = imresize(Z,[nrow,ncol]);

%%

%% combining the flat and domed matrices

z_matrix = (z_flat + Z);

surf(x,y,z_matrix);

axis tight

xlabel 'Planar Depth (m)', ylabel 'Planar Width (m)',zlabel 'Planar Height'

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Answer 1

Matt J 2022-1-17

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1630145-creating-a-inclined-plane-with-an-adjustable-dome-pattern-cutout-of-it#answer_875635

You can rotate and replicate the single dome using hgtransform, similar to this example,

https://www.mathworks.com/help/matlab/ref/hgtransform.html#f59-724064

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Johnny Dessoulavy 2022-1-17

I just tried doing that, but when i attmepted to make Z (the dome matrix) a set it told me that it was unable to and didnt give me an further error message as to try and fix that problem

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