Jump to content
You must now use your email address to sign in [click for more info] ×

Search the Community

Showing results for tags 'trigonometry'.

  • Search By Tags

    Type tags separated by commas.
  • Search By Author

Content Type


Forums

  • Affinity Support
    • News and Information
    • Frequently Asked Questions
    • Affinity Support & Questions
    • Feedback & Suggestions
  • Learn and Share
    • Tutorials (Serif and Customer Created Tutorials)
    • Share your work
    • Resources
  • Bug Reporting
    • V2 Bugs found on macOS
    • V2 Bugs found on Windows
    • V2 Bugs found on iPad
    • Reports of Bugs in Affinity Version 1 applications
  • Beta Software Forums
    • 2.4 New Features and Improvements
    • Other New Bugs and Issues in the Betas
    • Beta Software Program Members Area
    • [ARCHIVE] Reports from earlier Affinity betas

Find results in...

Find results that contain...


Date Created

  • Start

    End


Last Updated

  • Start

    End


Filter by number of...

Joined

  • Start

    End


Group


Website URL


Location


Interests


Member Title

Found 1 result

  1. This is an extension of my tutorial on Trigonometrical transformations using Filter > Distort > Equations. This one is focused on simulating flags waving in a light wind. Flags have an advantage in that they have a standard shape (width is twice the height). Edit: I have been told that this is not true. I stand corrected. To get the desired waving, I apply a sine transformation to each of the x and y-axes. The equations to apply are: x=(x+20*sin(360*y/h))/c-100*b y=y+a*(h/10)*sin(2*360*x/w)-(x/w)*h/10 I add a sideways sine wave to the x-axis as a function of the y-position. When the flag waves, the visual width is decreased, so I have added a parameter c which scales the width of the flag. The parameter b is an offset, since the left-hand corners of the flag can otherwise move outside the canvas. The y-axis also has a sine wave, depending on the x-position. The parameter a determines the magnitude of this sine wave. The final expression (-(x/w)*h/10) ensures that the fly (RHS in this case) is below the hoist (LHS here). (Definitions: hoist is the part next to the flagpole; fly is the part flying free.) Here is the UK Union Flag, plus a bit of extra space above and below to create room: And waving in the breeze: And here is a macro that implements these transformations: FlagWaving.afmacro And a macro library containing the single macro: FlagWaving.afmacros The parameters should appear when you run the macro. Parameter a controls the vertical wave; parameter b controls the horizontal offset; parameter c controls the overall horizontal scaling. This macro will not simulate a flag in too strong a wind, where the parts overlap! John
×
×
  • Create New...

Important Information

Terms of Use | Privacy Policy | Guidelines | We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.