T-Spline Volume

This code creates and modifies T-Volume Objects in 3D. It has some bugs. Updates coming soon.

The T_Volume class represents a T-spline volume in 3D space. Here's a summary of the code:

1. The T_Volume class definition:

- The T_Volume class has properties for control points, edges, and knot vectors in the U, V, and W directions.

2. Constructor:

- The constructor method takes an optional input argument, `cp`, which is a 4D array of control point data.

- If `cp` is provided, the constructor initializes the T-spline volume based on the control point data.

- It creates the knot vectors in the U, V, and W directions and initializes the control points and edges.

3. Control Points:

- The controlpoint property is a vector of ControlPoint objects.

- ControlPoint objects represent the control points in the T-spline volume.

- Each ControlPoint object has properties for 3D coordinates (X, Y, Z), U, V, and W vectors, and references to neighboring control points and edges.

4. Edges:

- The edge property is a vector of Edge objects.

- Edge objects represent the edges in the T-spline volume.

- Each Edge object has properties for direction, first and last tips, first and last control points, direction parameter coordinate, number, and plane.

5. Knot Vectors:

- The U, V, and W properties are vectors of Uknot, Vknot, and Wknot objects, respectively.

- Uknot, Vknot, and Wknot objects represent the knot vectors in the U, V, and W directions.

- Each knot object has properties for the previous and next knots, number, and value.

6. Plane:

- The Plane class represents a plane in 3D space.

- It has properties for the perpendicular coordinate, perpendicular number, parallel coordinate, and parallel number.

- Plane objects are used in Edge objects to define the orientation and position of the edges within the T-spline volume.

The T_Volume class provides a convenient way to represent and manipulate T-spline volumes in 3D space. It encapsulates the control points, edges, and knot vectors, allowing for efficient access and modification of the T-spline data.

This is an expansion of T-Spline Lab by Mohammad Sadeghi Pour Marvi

https://www.mathworks.com/matlabcentral/fileexchange/95298-t-spline-lab