Difference between B-Spline and Bezier Curves

In summary, a B-Spline curve is a more general type of interpolation curve, while a Bezier curve is a specific type of approximation curve. A B-Spline can degenerate into a Bezier curve under certain conditions.
  • #1
kmgraju
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Dear friends
What is the difference between B-Spline curve and Bezier curve?
Regards
Govind
 
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  • #3
Hey kmgraju and welcome to the forums.

A B-Spline is an interpolation curve that is a lot more general whereas a bezier curve is a cubic polynomial expression (for each dimension, example curve, surface, volume, etc) that is an approximation curve given control points.

Interpolation curves go through the control points whereas approximation curves don't necessarily go through the points. You'll note that a bezier curve/surface/volume goes through only the end-points and in general is only 'pulled' towards the middle two points and doesn't go through them (like an interpolation curve does).
 

FAQ: Difference between B-Spline and Bezier Curves

What is the difference between a bar graph and a line graph?

A bar graph displays data using rectangular bars, with the height of each bar representing the value of a specific category. A line graph, on the other hand, uses points connected by lines to show the trend or relationship between two variables.

How is a scatter plot different from a histogram?

A scatter plot is used to show the relationship between two variables, with each point representing a data point. A histogram, on the other hand, is used to display the distribution of a single variable, with bars representing different categories or ranges of values.

What is the main difference between a pie chart and a bar graph?

A pie chart is used to show the proportion or percentage of different categories within a whole, while a bar graph displays the numerical values of different categories side by side. In other words, a pie chart focuses on the parts of a whole, while a bar graph focuses on the comparison between different categories.

How is a line graph different from a scatter plot?

A line graph is used to show the trend or change in a variable over time or another independent variable. A scatter plot, on the other hand, is used to show the relationship or correlation between two variables, but does not necessarily include a time component.

What is the difference between a clustered and stacked bar graph?

In a clustered bar graph, multiple bars are grouped together side by side for each category, while in a stacked bar graph, the bars are placed on top of each other to represent the different data points within a category. This allows for easier comparison within a category in a clustered bar graph, while a stacked bar graph shows the total for each category.

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