What you need is an attribute in the class to hold the PImage data and then use this when drawing. e.g.

1. class ShapeMove       
2. { 
3.     PImage picture;
4.     int x; 
5.     int y; 
6.     int h; 
7.     int w; 
8.     int origx; 
9.     int origy; 
10.     int deltax; 
11.     int deltay; 
12.     int posXdiff; 
13.     int posYdiff; 
14.     int xdragdelta; 
15.     int ydragdelta; 
16.     boolean locked = false; 
17.     boolean imCaptured = false;
18.     boolean selected; 
19.     //  boolean overMe = false; 
20.     //
21. 
    
22.     ShapeMove(PImage _image, int _x, int _y, int _w, int _h) 
23.     { 
24.         picture= _image;
25.         x = _x; 
26.         y = _y; 
27.         h = _h; 
28.         w = _w;
29.     } 
    
30.   
31.     ShapeMove(String _picFile, int _x, int _y, int _w, int _h) 
32.     { 
33.         picture = loadImage(_picFile);
34.         x = _x; 
35.         y = _y; 
36.         h = _h; 
37.         w = _w;
38.     }

 
Then in the display method of the class

1. void display() 
2.   { 
3.     image(picture, x, y, w, h);
4.   }
5. } 

I have also added a second constructor which accepts a filename for the image

That's perfect, thanks.

Why do you have to define the constructor twice?

I am defining two DIFFERENT constructors, this is permitted, in fact there is no limit on the number of constructors a class can have. To understand why you need to know the purpose of a constructor.

A constructor has two functions
(1) To create an object of that class and reserve memory to store its attributes (done by Processing / Java)
(2) To initialise the class attributes to sensible values (i.e. done by the code inside the constructor).

So a class can have as many constructores as you like provided the parameter lists differ. In you class you have 2 constructors with parameter lists
PImage, int, int, int, int
String, int, int, int, int

To create an object you choose the constructor YOU want to use by specifying the actual values passed as parameters and Processing (Java) finds the matching constructor.. Different objects can be created with different constructors I added the second one because you said.

I think there is a way to to this where the constructor calls for "String filename", but I'm not sure.