**1. Spline :**

A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces.

**2. B-Spline :**

B-Spline is a basis function that contains a set of control points. The B-Spline curves are specified by Bernstein basis function that has limited flexibility.

**3. Bezier :**

These curves are specified with boundary conditions, with a characterizing matrix or with blending function. A Bezier curve section can be filled by any number of control points. The number of control points to be approximated and their relative position determine the degree of Bezier polynomial.

**Difference between Spline, B-Spline and Bezier Curves :**

Spline | B-Spline | Bezier |
---|---|---|

A spline curve can be specified by giving a specified set of coordinate positions, called control points which indicate the general shape of the curve. | The B-Spline curves are specified by Bernstein basis function that has limited flexibiity. | The Bezier curves can be specified with boundary conditions, with a characterizing matrix or with blending function. |

It follows the general shape of the curve. | These curves are a result of the use of open uniform basis function. | The curve generally follows the shape of a defining polygon. |

Typical CAD application for spline include the design of automobile bodies, aircraft and spacecraft surfaces and ship hulls. | These curves can be used to construct blending curves. | These are found in painting and drawing packages as well as in CAD applications. |

It possess a high degree of smoothness at the places where the polynomial pieces connect. | The B-Spline allows the order of the basis function and hence the degree of the resulting curve is independent of number of vertices. | The degree of the polynomial defining the curve segment is one less than the number of defining polygon point. |

A spline curve is a mathematical representation for which it is easy to build an interface that will allow a user to design and control the shape of complex curves and surfaces. |
In B-Spline, there is local control over the curve surface and the shape of the curve is affected by every vertex. | It is a parametric curve used in related fields. |

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the **DSA Self Paced Course** at a student-friendly price and become industry ready.

## Recommended Posts:

- Difference between DML and TCL
- Difference between DTE and DCE
- Difference between LAN and WAN
- Difference between LAN, MAN and WAN
- Difference between CRT and LCD
- Difference between PCI and PCI-X
- Difference between CPU and GPU
- Difference between C and C++
- Difference between PCI-E and PCI-X
- Difference between 4G and 5G
- Difference between CLI and GUI
- Difference between AIX and HP-UX
- Difference between PIP and HLP
- Difference between DAS and NAS
- Difference between IoE and IoT
- Difference between AIX and QNX
- Difference between RPC and RMI
- Difference between H.323 and SIP
- Difference between Blu-ray and DVD
- Difference between HLP and PCP

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.